Name _______________________________________ Date __________________ Class __________________
6.SP.1
4. Mia plants 20 flowers of different types in
her garden. Which of the following
questions is NOT a statistical question
about the flowers?
SELECTED RESPONSE
Select the correct answer.
1. Which of the following questions is
statistical?
What was the total cost of
the flowers?
How many hours did you sleep
last night?
How tall is the shortest flower?
How many hours did the students in
your class sleep last night?
How many of each type of flower
is there?
How many hours did your friend
spend reading last night?
How many flowers have 5 petals?
How many hours did your teacher
spend reading on Saturday?
Select all correct answers.
5. Glenn wants to learn more about his
classmates. Which of the following are
statistical questions that Glenn can ask?
2. What statement best describes the
question “How many computer games
does Christopher have right now?”
Is Jennifer wearing glasses today?
The question is statistical because it
does not involve a data set with items
that vary.
How tall is Jeremy?
How tall are all of the students?
How many students brought lunch
today?
This question is statistical because
there is variation in the resulting
data set.
How old are the students?
How many students brought lunch
each day over the past month?
This is not a statistical question
because it does not involve a data
set with items that vary.
CONSTRUCTED RESPONSE
This is not a statistical question
because there is variation in the
resulting data set.
6. A zookeeper asks, “How many animals
were in the zoo each month of last year?”
Is this question statistical or not? Explain
your reasoning.
3. Nancy wants to know more about the
music her friends listen to. Which of
her questions below is NOT a
statistical question?
________________________________________
________________________________________
If I make a list of musical styles, how
many of my friends like each style?
________________________________________
How many songs does each of my
friends have?
________________________________________
What is my best friend’s
favorite song?
________________________________________
________________________________________
How many songs does each of my
friends buy in one month?
________________________________________
________________________________________
________________________________________
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Grade 6
65
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
7. The following questions were asked
about Brian’s weekly exercise routine.
8. Claire is comparing refrigerators at
an appliance store. She asks the
following questions.
1. How long did Brian spend exercising
last week?
1. What are the prices of the
refrigerators?
2. How long does Brian spend on each
type of exercise each week?
2. How much does it cost to deliver the
refrigerator?
3. What are the volumes of the
refrigerators in cubic feet?
a. What is the difference between the
results of each question?
________________________________________
a. State whether each question is
statistical or not. Explain.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
b. Which question is statistical?
Explain.
________________________________________
________________________________________
________________________________________
b. Write one statistical question,
different from the ones above, about
the refrigerators.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
c. Rewrite the question that is not
statistical into one that is. The subject
should still be about Brian’s exercise
routine.
________________________________________
________________________________________
c. One store has 10 refrigerators that
are the exact same model in stock. If
Claire asks how many cubic feet
each of the 10 refrigerators has, is
this a statistical question? Explain
why or why not.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 6
66
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
6.SP.2
SELECTED RESPONSE
Select all correct answers.
Select the correct answer.
5. Which of the following statements
accurately describe the data displayed in
the dot plot shown?
1. The test scores for a class are shown.
What is the average test score?
79, 80, 92, 92, 81, 100, 88, 98, 71, 100,
91, 90
71
90.5
88.5
92
The distribution is right skewed.
2. Find the interquartile range of the data
displayed in the box plot shown.
The distribution is left skewed.
The distribution is symmetric.
The mean is approximately 5.4.
The median is 6.
9
6
7
3
The mode is 0.
CONSTRUCTED RESPONSE
6. Gianna is keeping track of how much
money she spends each week. Her data
is shown.
3. What is the median of the data set
shown?
34, 86, 12, 56, 21, 98, 72, 34, 21, 34, 45,
23, 97, 44
34
44
39
53
$75, $123, $36, $86, $57, $89, $41, $70,
$148, $80
a. Find the median of the data set.
Show your work.
4. The number of people per household for
a street with 15 houses is shown. What
statement best describes the shape of
the distribution of the data set?
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
b. Find the interquartile range of the
data set. Show your work.
________________________________________
________________________________________
Skewed right
________________________________________
Skewed left
________________________________________
Symmetric
________________________________________
Has two peaks
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Grade 6
67
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
9. The number of hours Linda sleeps each
night for two weeks is shown. Find the
mean absolute deviation, rounding to
the nearest whole number. Explain
how this value describes the distribution
of the data.
7. James asked each of his classmates how
tall they are. The data that he collected is
shown in the plot below.
8, 7, 6.5, 8, 9, 10, 7.5, 9.5, 8, 9.5,
10, 7, 8, 7
a. What is the average height of
James’s classmates? Round to the
nearest inch.
________________________________________
________________________________________
________________________________________
________________________________________
b. Are more of James’s classmates
taller or shorter than this average?
Explain your answer.
________________________________________
10. Suzanne and Jason live on different
streets. They are collecting data on how
many gallons of water per day the
residents of their streets use. This data is
shown below.
________________________________________
________________________________________
8. The number of runs Jackie’s baseball
team scored per game throughout a part
of one season is shown below.
Suzanne’s street: 100, 92, 83, 75, 95,
112, 80, 73
Jason’s street: 81, 62, 98, 74, 82, 100,
121, 93, 76, 72
3, 7, 8, 9, 2, 4, 5, 1, 0, 7, 2, 4
a. Construct a box plot from the given
data set. Show your work.
a. On average, do the residents of
Suzanne’s street or Jason’s street
use more gallons of water per day?
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
b. Describe the shape of the distribution
of the data set.
b. Compare the spread of the data sets
using the interquartile range.
________________________________________
________________________________________
c. The median number of runs Jackie’s
rival team scored during the same
time was 5. How does Jackie’s
baseball team’s median number of
runs compare to the rival team’s
median number of runs?
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 6
65
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
6.SP.3
SELECTED RESPONSE
For the data set shown, match each
measure of center or measure of variability
with its value(s).
2, 6, 8, 3, 4, 6, 2, 6, 8, 5, 6, 2, 7, 8, 4, 3, 2, 7,
3, 4
Select the correct answer.
1. The number of touchdowns scored by
one football team in each game during a
season is shown. What was the mean of
the touchdowns the team scored during
that season?
_____ 5. Mean
_____ 6. Median
2, 4, 1, 0, 4, 3, 2, 4, 5, 1, 0, 3, 6, 4, 2, 3
2.75 touchdowns
_____ 7. Mode(s)
3 touchdowns
3.14 touchdowns
_____ 8. Mean absolute
deviation
4 touchdowns
_____ 9. Interquartile range
A
B
C
D
E
F
4.8
3.5
1.9
2 and 6
4.5
6
_____ 10. Range
2. Jesse asked how many magazine
subscriptions each house on his street
had. These numbers are shown. What is
the interquartile range of the data set?
CONSTRUCTED RESPONSE
11. The daily maximum temperatures, in
degrees Fahrenheit, for one town during
one week in summer are shown below.
1, 0, 2, 3, 4, 1, 0, 0, 4, 1, 2, 2, 1
0.5 subscription
93, 99, 89, 76, 68, 97, 71
1 subscription
a. Find the mean and the mean
absolute deviation. Show your work.
Round your answers to the nearest
tenth of a degree.
2 subscriptions
2.5 subscriptions
3. The number of showtimes for one movie
over several days is shown. What is the
mean absolute deviation?
________________________________________
b. Explain the difference between the
interpretations of the mean and the
mean absolute deviation. Which is a
measure of center? Which is a
measure of spread?
9, 6, 8, 9, 7, 4, 3, 5, 2, 4
2.1 showtimes
5.5 showtimes
5.7 showtimes
________________________________________
11.4 showtimes
12. The data set shows the number of hours
Marissa jogs daily. What is the average
number of hours that Marissa’s jogging
times vary from her mean jogging time?
Show your work and round your final
answer to the nearest hour.
Select all correct answers.
4. Which measures describe the variation in
a data set?
Mean
Median
Mode
4, 4, 1, 6, 5, 4, 6, 3, 3
Mean absolute deviation
________________________________________
Interquartile range
________________________________________
Range
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Grade 6
66
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
13. Alex asks several households how many
cars they have. The number of cars in the
households is shown.
15. Naomi works at an ice cream shop. She
is keeping track of how many customers
come into the store every hour for one
day. Each dot on the dot plot represents
an hour period that Naomi’s shop is open.
1, 0, 3, 2, 1, 1, 0, 2, 2, 2
a. Find the median of the data set.
________________________________________
b. Is the median a measure of center or
a measure of spread?
a. What is the mean of the data
set rounded to the nearest
whole number?
________________________________________
14. Sara’s basketball team has 10 players.
The number of points each player scored
during a recent game is shown.
________________________________________
b. What is the median of the data
set rounded to the nearest
whole number?
6, 10, 12, 8, 9, 13, 15, 7, 8, 10
a. Find the median.
________________________________________
________________________________________
c. How can you find the mode(s) of
the data set using the dot plot?
Find the mode.
________________________________________
________________________________________
________________________________________
________________________________________
b. Find the interquartile range.
________________________________________
________________________________________
________________________________________
________________________________________
16. Landon asks everyone in his class to pick
a number between 1 and 10. These
numbers are shown.
________________________________________
9, 7, 8, 3, 6, 9, 10, 5, 3, 2, 6, 9, 6, 7
________________________________________
Landon claims the mode is 6 and the
range is 10  1  9. Is he correct? If he is
not correct, find the correct value(s) and
show your work.
c. If the interquartile range for another
basketball team is 3 points, do the
scores tend to vary more or less than
the scores of Sara’s team? Explain
how you know.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 6
66
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
6.SP.4
4. Which box plot correctly displays the data
set shown?
SELECTED RESPONSE
Select all correct answers.
2, 5, 7, 2, 11, 13, 5, 7, 1, 10, 10, 2, 3, 5,
1, 11
1. Which values are needed to display a
set of data using a box plot?
Mean
Median
Mode
Mean absolute deviation
Lower quartile
Upper quartile
Greatest value
Least value
Select the correct answer for each
lettered part.
2. If the data shown is displayed using
a dot plot, how many dots will go over
each value?
5. What is the median of the data shown in
the histogram?
2, 3, 7, 4, 10, 1, 3, 7, 12, 1, 10, 2, 1, 1, 3,
6, 6, 8, 9, 11, 2
a. 2
1 dot
3 dots
b. 5
0 dots
1 dot
c. 6
2 dots
3 dots
d. 9
1 dot
4 dots
Select the correct answer.
3. The amount of rainfall, in inches, for one
town is shown. If this data is displayed
using a histogram and equally sized
intervals, which intervals can be used?
1.3, 2.5, 0.6, 1.2, 1, 1.3, 0.1, 0.5, 1, 2.6,
1.8, 1.4, 2
0 to 0.9 inches and 1 to 1.9 inches
0
1.5
1
2
0 to 0.5 inches, 0.6 to 1.5 inches, and
1.6 to 3 inches
0 to 1 inches, 0.5 to 2 inches, and
1.5 to 3 inches
0 to 0.9 inches, 1 to 1.9 inches, and
2 to 2.9 inches
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Grade 6
67
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
8. Jamie asks his classmates how many
hours of television they watch daily. This
data is shown.
CONSTRUCTED RESPONSE
6. Oliver owns a bicycle store. The number
of bikes that he sells each month for
18 months is shown. Use a dot plot to
display this data. What number of
bicycles sold per month was the most
frequent? Use the results from the dot
plot to explain.
2, 6, 4, 1, 0, 3, 6, 2, 3, 5, 3, 1, 6, 0, 4, 6,
2, 7, 2, 2, 5
a. Use a dot plot to display the data.
5, 11, 12, 4, 9, 5, 11, 4, 10, 11, 4, 5, 10,
14, 12, 3, 5, 9
b. Use a histogram with four equally
sized intervals to display the data.
________________________________________
________________________________________
________________________________________
7. Jennifer is having her annual party next
week. The number of people that have
attended her last 12 parties is shown.
20, 19, 16, 22, 24, 18, 17, 22, 19, 22,
18, 18
a. Explain how to find the median of the
data set.
c. Compare the shape of your graph
from part a with the shape of your
graph from part b. Explain why the
shapes are different.
________________________________________
________________________________________
________________________________________
b. Explain how to find the upper and
lower quartiles of the data set.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
c. Use parts a and b to display the data
using a box plot.
________________________________________
________________________________________
________________________________________
d. What is the interquartile range of
the data?
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 6
66
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
6.SP.5a, 6.SP.5b
3. The dean of a university is looking at the
number of students who were enrolled in
school during previous years. This data is
shown in the table. What do the data
values represent?
Year
Students
Enrolled
2000
700
2001
841
2002
978
2003
1,200
2004
1,345
2005
1,498
2006
1,612
2007
1,766
2008
2,000
SELECTED RESPONSE
Select the correct answer.
1. Colleen is training over the summer for a
triathlon. The amount of time that she
spends training daily is displayed on the
dot plot shown. How many days did
Colleen spend training?
7
8
15
The average number of students
enrolled in school each year
The number of days cannot be
determined.
The most number of students
enrolled in school between the years
2000 and 2008
2. A traffic engineer is collecting counts of
how many cars are on one street during a
specific time each day. The results are
shown in the histogram. How many days
did the traffic engineer collect data?
The number of students enrolled in
school each month
The number of students enrolled in
school each year
Select all correct answers.
4. Roberto asks “How old are you?” to each
of his classmates, and then records the
data he receives. Which units can
Roberto use to record his data?
Days
Inches
Grams
Months
Years
13
38
74
The number of days cannot be
determined.
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Grade 6
67
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
6. Frank is moving to a different city and
needs to rent an apartment. He asks
several realtors in the city about available
apartments. The dot plot shows the data
he gathered for these apartments. What
does each dot represent? In what units
are the data values measured?
CONSTRUCTED RESPONSE
5. Three different data sets are displayed on
the following graphs. Can the number of
observations in each data set be
determined from its graph? If so, give the
number of observations. If not, explain.
a.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
7. Gabrielle collected the heights, in inches,
of her coworkers. This data is shown.
b.
65, 70, 60, 58, 60, 63, 65, 66, 72, 72, 63,
62, 63, 66, 63, 68, 68, 66
a. Construct a dot plot of the data
Gabrielle collected.
b. What does each dot in the dot
plot represent?
________________________________________
________________________________________
________________________________________
________________________________________
c. Find the height of the tallest and
shortest coworker. What are the units
of measurements?
________________________________________
c.
________________________________________
________________________________________
d. Can Gabrielle use a different unit of
measurement when collecting her
data? Explain.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 6
66
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
6.SP.5c
3. Ina wants to buy a new computer, so she
compares the prices of different
computers. Her results are shown in
the box plot, in hundreds of dollars.
What is the interquartile range of the
prices for computers?
SELECTED RESPONSE
Select all correct answers.
1. The dot plot shown displays the amount
of money, in millions of dollars, that
different companies spend on television
advertising in one year. Which of the
following statements describe the
data set?
Price ($100)
$5.00
$12.50
$500.00
$1,250.00
The overall pattern of the distribution
is skewed left.
4. Fred asked each of his classmates how
many times they went to the beach over
summer break. He displayed the data
using the histogram shown. Which
statement best describes the pattern of
the distribution?
The overall pattern of the distribution
is skewed right.
The overall pattern of the distribution
is symmetric.
The average amount spent on
television advertising is $10.10.
The average amount spent on
television advertising is $10.1 million.
The median amount spent on
television advertising is $10.50.
The median amount spent on
television advertising is $10.5 million.
Select the correct answer.
2. Lianna planted several plants in her
garden. The heights, in centimeters, of
these plants after one month are shown.
What is the mean height of Lianna’s
plants? Round your answer to the
nearest tenth of a centimeter.
Skewed left with one deviation from
the overall pattern at the value 0
Skewed left with no deviations from
the overall pattern
6, 9, 5.1, 12.8, 7.3, 16, 14.8, 9, 11.7, 12.4
Skewed right with one deviation from
the overall pattern at the value 0
6.0 centimeters
9.5 centimeters
Skewed right with no deviations from
the overall pattern
10.4 centimeters
16.0 centimeters
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Grade 6
67
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
12. Elijah works for a local car dealership. To
make sure their customers are satisfied
with the service, Elijah surveys a group of
customers after their visit. The survey
asks the customers to rate their service
on a scale from 0 to 10, with 0 being the
worst and 10 being the best. The survey
results are shown.
Using the data set shown, match the
measures of center and spread with their
corresponding values. Round answers to
the nearest tenth as needed.
3, 7, 9, 2, 11, 6, 13, 12, 15, 9, 3, 6, 13, 9,
10, 5
____ 5. Mean
____ 6. Median
____ 7. Mode
____ 8. Range
____ 9. Mean absolute
deviation
A
B
C
D
E
F
G
3.3
6.0
7.0
8.3
9.0
12.0
13.0
3, 6, 9, 0, 4, 10, 9, 8, 4, 6, 6, 7, 9, 10, 5
a. Find the mode or modes of the
dealership’s ratings.
________________________________________
b. Find the dealership’s average rating.
Is this value above or below the
median rating?
____ 10. Interquartile range
CONSTRUCTED RESPONSE
________________________________________
11. Shawn is researching the daily fiber
intake, in grams, of a group of people. His
findings are listed below. Construct a
histogram to display the data, using four
equally sized intervals. Describe the
overall pattern of the distribution.
________________________________________
13. A company is hiring for positions that
require experience in biology. The years
of experience in biology for several
applicants are given.
33, 29, 16, 20, 9, 31, 23, 10, 14, 28, 17,
21, 16, 22, 29, 23, 32, 28
2, 1, 3, 6, 2, 11, 0, 1, 5, 7, 3, 0, 4, 0, 2,
11, 1, 0
a. What is the range of years of
experience the applicants have?
________________________________________
b. Construct a dot plot using the
given data.
c. Describe the overall pattern of the
distribution, including any deviations
from the overall pattern.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 6
76
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
6.SP.5d
4. What measure best describes the
variability of the data set displayed using
the box plot shown?
SELECTED RESPONSE
Select the correct answer.
1. Does the mean or median best describe
a typical value in the data set shown?
19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18
Mean
Mean
Median
Median
Neither describe a value in the
data well.
Mean absolute deviation
Interquartile range
Both describe a value in the
data well.
5. The number of miles Cynthia travels each
day is shown. What are the values of the
measures of center and variability that
best describe the data set?
2. The dot plot shown displays the heights,
in inches, of the students in one class.
Which measure of variability best
describes how spread out the heights of
the students are?
57, 40, 35, 60, 56, 57, 59
The mean 52 miles and the mean
absolute deviation about 8 miles
The median 57 miles and the
interquartile range 19 miles
The mean 57 miles and the mean
absolute deviation 19 miles
Mean
The median 52 miles and the
interquartile range about 8 miles
Median
Mean absolute deviation
Select all correct answers.
Interquartile range
6. Which measures of center and variability
best describe the data set shown?
3. The exam scores from the most recent
math test are shown. What is the value of
the measure that best describes a typical
exam score? Round your answer to the
nearest whole number.
17, 19, 15, 12, 10, 21, 2, 16, 18, 19, 20,
16, 11, 12, 17
Mean
Median
93, 88, 76, 91, 92, 96, 100, 96, 74, 89,
94, 91
Mode
90
Mean absolute deviation
91.5
Interquartile range
96
Range
100
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Grade 6
66
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
CONSTRUCTED RESPONSE
9. What measures of center and variability
best describe the data set displayed in
the histogram? Explain.
7. Hector is selling some of his books. The
prices for each book are shown.
$4.50, $5.50, $4.00, $3.00, $2.50,
$4.50, $2.50, $1.50, $2.00, $4.00,
$4.00, $3.00, $4.50
a. Find the mean absolute deviation of
the book prices.
________________________________________
b. Find the interquartile range of the
book prices.
________________________________________
________________________________________
c. Which measure best describes the
variability of the prices of Hector’s
books? Explain.
________________________________________
10. The salaries, in thousands of dollars,
of different workers at a company
are shown.
________________________________________
________________________________________
41, 39, 42, 41, 40, 41, 42, 43, 40, 41
________________________________________
a. Construct a dot plot using the
given data.
8. Jocelyn is studying the traffic flow at a
certain intersection in the city. The
approximate number of cars, in
thousands, that pass through the
intersection daily are shown.
9, 10, 11, 12, 11, 13, 12, 13, 8, 14, 11, 9,
10, 11
b. Describe the overall shape of the
distribution of the data. What does
this tell you about the measure of
center that best describes the
data set?
a. Find the mean of the data set. Round
to the nearest thousand as needed.
________________________________________
________________________________________
b. Find the median of the data set.
Round to the nearest thousand
as needed.
________________________________________
c. Calculate and interpret all
appropriate measures of center and
variability to describe the data set.
Round your answers to the nearest
dollar as needed.
________________________________________
c. Which measure best describes the
typical number of cars passing
through the intersection? Explain.
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
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Grade 6 Teacher Guide
66
Common Core Assessment Readiness
Name _______________________________________ Date __________________ Class __________________
6.SP.1 Answers
c. No; since all 10 refrigerators are the
same model, all of their measurements
will be exactly the same. This is not a
question about a data set that varies.
1. B
2. C
3. C
4. A
Rubric
a. 1 point for answer;
1 point for explanation
b. 1 point for reasonable question
c. 1 point for answer;
1 point for explanation
5. C, E, F
6. This is a statistical question because the
number of animals in the zoo each month
can vary.
Rubric
1 point for answer; 1 point for explanation
7. a. Question 1 results in a single value:
the number of hours Brian spent
exercising last week. Question 2
results in a set of data: the number of
hours Brian spends on each different
type of exercise each week.
b. Question 2 is a statistical question
because it results in a data set
that varies.
c. Possible answer: How long does
Brian spend exercising each day for
30 days?
Rubric
a. 1 point
b. 1 point for answer;
1 point for explanation
c. 1 point for reasonable
statistical question
8. a. Questions 1 and 3 are statistical
questions because the refrigerators
probably have different prices and
sizes, so there is variation in the data.
Question 2 is not statistical because it
results in one value that does not vary.
b. Possible answer:
How much power does each
refrigerator use?
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Grade 6 Teacher Guide
67
Common Core Assessment Readiness
6.SP.2 Answers
1. B
8. a. First, order the values in the data set
from least to greatest.
0, 1, 2, 2, 3, 4, 4, 5, 7, 7, 8, 9
The least value is 0 and the greatest
value is 9.
2. C
3. B
4. A
5. B, D, E
4+4
= 4.
2
2+ 2
The lower quartile is
= 2 and the
2
7+7
upper quartile is
= 7.
2
The median is
6. a. To find the median of the data set, first
put the data values in order from least
to greatest.
$36, $41, $57, $70, $75, $80, $86,
$89, $123, $148
There are two middle values of the
ordered data set, so the median is the
average of the two values.
75 + 80
= 77.5
2
So, the median value is $77.50.
b. The upper quartile is $89 and the
lower quartile is $57. So, the
interquartile range is 89  57  $32.
b. The distribution is roughly symmetric.
c. The median number of runs Jackie’s
team scored was 4. So, Jackie’s
rivals had a higher median number
of runs, 5.
Rubric
a. 1 point for answer; 1 point for
reasonable work
b. 1 point for answer; 1 point for
reasonable work
Rubric
a. 2 points for graph; 1 point for
appropriate work
b. 1 point
c. 1 point
7. a. 54 inches
b. The majority of James’s classmates
are shorter than the average height;
8 are shorter and 6 are taller.
Rubric
a. 1 point
b. 1 point for answer;
1 point for explanation
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66
Common Core Assessment Readiness
Suzanne’s street: 73, 75, 80, 83, 92,
95, 100, 112
9. To find the mean absolute deviation, first
find the mean of the data set. Round to
the nearest whole number.
Jason’s street: 62, 72, 74, 76, 81, 82,
93, 98, 100, 121
For Suzanne’s data set, the lower
8 + 7 + 6.5 + 8 + 9 + 10 + 7.5 + 9.5 + 8 + 9.5 + 10 + 7 + 8 + 7 115 75 + 80
=
quartile
is» 8
= 77.5 gallons per
14
14
2
day and the upper quartile is
95 + 100
The mean of the data set is about 8
= 97.5 gallons per day. So,
hours. Use this to find the mean absolute
2
the interquartile range is
deviation.
97.5  77.5  20 gallons per day.
For Jason’s data set, the lower quartile
0 + 1+ 1.5 + 0 + 1+ 2 + 0.5 + 1.5 + 0 + 1.5 + 2 + 1+ 0 + 1 is 74 gallons per day and the upper
»1
quartile is
14
98 gallons per day. So, the
interquartile range is 98  74  24
The mean absolute deviation is the mean
gallons per day.
distance from each data value to the
mean of the data set. So, the number of
The interquartile range for Jason’s
hours Linda sleeps each night is an
data set is greater than the
average of 1 hour from the average
interquartile range for Suzanne’s data
number of hours she sleeps.
set. So, the middle half of the water
usage values in Jason’s data set is
Rubric
more spread out than in Suzanne’s
1 point for mean; 1 point for mean
data set.
absolute deviation; 1 point for explanation
of distribution
Rubric
10. a. The residents of Suzanne’s street use
a. 1 point for answer; 1 point for mean of
an average of 88.75 gallons of water
Suzanne’s data; 1 point for mean of
per day.
Jason’s data
b. 1 point for interquartile range for
Suzanne’s data; 1 point for
interquartile range for Jason’s data; 1
100 + 92 + 83 + 75 + 95 + 112 + 80 + 73 710
=
= 88.75
point for comparing spread
8
8
The residents of Jason’s street use an
average of 85.9 gallons of water per
day.
81+ 62 + 98 + 74 + 82 + 100 + 121+ 93 + 76 + 72 859
=
= 85.9
10
10
So, the residents of Suzanne’s street
use more gallons of water per day on
average.
b. First, put the data sets in order.
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Grade 6 Teacher Guide
66
Common Core Assessment Readiness
4 + 4 + 1+ 6 + 5 + 4 + 6 + 3 + 3 36
=
=4
9
9
The mean is 4 hours.
6.SP.3 Answers
1. A
2. C
0 + 0 + 3 + 2 + 1+ 0 + 2 + 1+ 1 10
=
»1
9
9
The mean absolute deviation is about 1
hour.
So, the average number of hours that
Marissa’s jogging times vary from her
average jogging time is about 1 hour.
3. A
4. D, E, F
5. A
6. E
7. D
8. C
Rubric
1 point for answer; 1 point for using mean
absolute deviation; 1 point for work
9. B
10. F
11. a.
93 + 99 + 89 + 76 + 68 + 97 + 71 593
=
» 84.7
7
7
The mean temperature is about 84.7
F.
8.3 + 14.3 + 4.3 + 8.7 + 16.7 + 12.3 + 13.7 78.3
=
» 11.2
7
7
The mean absolute deviation is about
11.2 F.
b. The mean is the average temperature
of all the temperatures in the data set.
The mean absolute deviation is the
mean distance between all of the
temperatures in the data set and the
average temperature. The mean is a
measure of center, and the mean
absolute deviation is a measure of
spread.
Rubric
a. 1 point for mean; 1 point for mean
absolute deviation
b. 2 points
12. The mean absolute deviation measures
the average variation between the
number of hours Marissa jogs and her
mean jogging time.
To find the mean absolute deviation, first
find the mean.
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Grade 6 Teacher Guide
67
Common Core Assessment Readiness
16. No, neither claim is correct.
13. a. 1.5 cars
b. The median is a measure of center.
The mode is the value that appears most
often in the data set. Two values, 6 and
9,
both appear 3 times. Landon was correct
in finding 6 as a mode, but 9 is also a
mode of
the data set.
Rubric
1 point for each part
14. a. First, order the data values from least
to greatest.
6, 7, 8, 8, 9, 10, 10, 12, 13, 15
The median number of points per
9 + 10
game per player is
= 9.5.
2
b. The upper quartile is 12 points and the
lower quartile is 8 points. So, the
interquartile range is 12  8  4 points.
c. The interquartile range for Sara’s team
is 4 points, which is more than the
interquartile range of the other team.
This means that the scores of Sara’s
team tend to vary more.
The range is the difference between the
least and the greatest values in the data
set. Landon asked for numbers between
1 and 10, but no one chose the number
1, so the least value in the data set is 2,
not 1. So, the range is 10  2  8.
Rubric
1 point for saying he is incorrect; 1 point
for correct mode; 1 point for correct
range; 2 points for work
Rubric
a. 1 point
b. 1 point
c. 1 point for noting that Sara’s team has
more variation in scores; 1 point for
explanation
15. a.
4 + 5 + 5 + 6 + 6 + 6 + 8 + 11+ 12 + 12 + 13 + 15 103
=
»9
12
12
The mean is about 9 customers per
hour.
b. The median is
6+8
= 7 customers per
2
hour.
c. The mode is the value(s) that appears
most often in the data set. Using a dot
plot, the mode corresponds to the
value with the tallest stack of dots. So,
the mode of this data set is 6
customers per hour.
Rubric
a. 1 point
b. 1 point
c. 1 point for explanation; 1 point for
mode
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Grade 6 Teacher Guide
68
Common Core Assessment Readiness
6.SP.4 Answers
1. B, E, F, G, H
2. a.
b.
c.
d.
7. a. The median is the middle value in the
data set.
First, order the values from least to
greatest.
16, 17, 18, 18, 18, 19, 19, 20, 22, 22,
22, 24
Since there are two middle values, the
median is the average of the 2:
19 + 19
= 19 people.
2
b. The upper quartile is the median of the
upper half of the data. The upper half
of the data is 19, 20, 22, 22, 22, 24.
The median of this half is
22 + 22
= 22 people.
2
The lower quartile is the median of the
lower half of the data. The lower half of
the data is 16, 17, 18, 18, 18, 19. The
median of this half is
18 + 18
= 18 people.
2
c.
3 dots
0 dots
2 dots
1 dot
3. D
4. A
5. B
6.
The value with the highest number of
dots above it in the dot plot is 5. So,
5 bicycles per month was the most
frequent number of bicycles sold.
Rubric
2 points for graph;
1 point for most frequent
d. The interquartile range is
22  18  4 people.
Rubric
a. 1 point
b. 1 point
c. 2 points
d. 1 point for interquartile range
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Grade 6 Teacher Guide
69
Common Core Assessment Readiness
8. a.
b.
c. Possible answer:
The dot plot displays the frequency of
every value in the data set and the
histogram groups the values into four
equally sized intervals and displays
the frequency of each interval. The
dot plot shows there are peaks at
2 hours and 6 hours while the
histogram shows there is a peak for
the 2 to 3 hours interval.
Rubric
a. 2 points
b. 2 points
c. 1 point for comparison; 1 point for
explanation
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Grade 6 Teacher Guide
66
Common Core Assessment Readiness
6.SP.5a, 6.SP.5b Answers
1. C
7. a.
2. B
3. D
4. A, D, E
5. a. Yes; 25
b. Yes; 27
c. No; a box plot shows the least and
greatest values and the three
quartiles. It does not show the number
of observations in the data set.
b. Each dot represents the height,
in inches, of one of Gabrielle’s
coworkers.
c. The tallest coworker is 72 inches
tall and the shortest coworker is
58 inches tall.
d. Yes;
Possible answer: Gabrielle can
collect the heights of her coworkers
in centimeters.
Rubric
a. 1 point for answer;
0.5 point for number of observations
b. 1 point for answer;
0.5 point for number of observations
c. 1 point for answer;
1 point for explanation
Rubric
a. 2 points
b. 1 point
c. 1 point
d. 1 point
6. Each dot represents an apartment with a
certain amount of living space. The
values are measured in square feet.
Rubric
1 point for each
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Grade 6 Teacher Guide
67
Common Core Assessment Readiness
6.SP.5c Answers
13. a. The range is 11  0  11 years.
b.
1. C, E, G
2. C
3. C
4. A
5. D
6. E
7. E
c. The overall pattern of the distribution is
skewed right. There is a deviation from
the pattern at 11 years, which has a
frequency of 2 applicants.
8. G
9. A
10. B
Rubric
a. 1 point
b. 2 points
c. 1 point
11.
The overall distribution is symmetric.
Rubric
2 points for graph;
1 point for pattern of distribution
12. a. 6 and 9
b. 6.4; the median rating is 6, so the
average rating is above the median.
Rubric
a. 1 point
b. 1 point for each
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Grade 6 Teacher Guide
66
Common Core Assessment Readiness
a. 1 point
b. 1 point
c. 1 point for answer; 1 point for
explanation
6.SP.5d Answers
1. B
2. C
3. B
8. a. The mean of the data set is 11,000
cars.
4. D
5. B
6. B, E
9 + 10 + 11+ 12 + 11+ 13 + 12 + 13 + 8 + 14 + 11+ 9 + 10 + 1
14
7. a. First, find the mean of the data set.
b. To find the median of the data set, first
4.5 + 5.5 + 4 + 3 + 2.5 + 4.5 + 2.5 + 1.5 + 2 + 4 + 4 + 3 order
+ 4.5 the
45.5 values from least to
= data
= 3.5
13
greatest.13
8, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12,
13, 13, 14
So, the median is 11,000 cars.
c. The overall shape of the distribution of
the data set is symmetric. So, the
mean and
1+ 2 + 0.5 + 0.5 + 1+ 1+ 1+ 2 + 1.5 + 0.5 + 0.5 + 0.5 + 1the13
= median
= 1 are equally good
13
13
descriptions
of the typical number of
cars passing through the intersection.
So, the mean absolute deviation of the
book prices is $1.00.
b. First, order the data values from least
to greatest.
$1.50, $2.00, $2.50, $2.50, $3.00,
$3.00, $4.00, $4.00, $4.00, $4.50,
$4.50, $4.50, $5.50
4.5 + 4.5
The upper quartile is
= 4.5
2
and the lower quartile is
2.5 + 2.5
= 2.5. So, the interquartile
2
range is 4.5  2.5  $2.00.
c. Look at the numbers of book prices
within 1 mean absolute deviation of
the mean. There are more prices
between $3.50 and $4.50 than
between $2.50 and $3.50. So, the
overall shape of the distribution of the
book prices is skewed left. Since the
data is not symmetric, the interquartile
range best describes the variability of
the book prices.
So, the mean book price is $3.50.
Then, find the mean absolute deviation
of the data set.
Rubric
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Grade 6 Teacher Guide
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Common Core Assessment Readiness
The median of the data set is
41+ 41
= 41, so the typical salary of
2
the workers is $41,000.
The upper quartile is 42 and the lower
quartile is 40, so the interquartile
range is
42  40  2, or $2,000. This describes
the variability of the salaries of the
workers.
Rubric
a. 1 point
b. 1 point
c. 1 point for answer; 1 point for
explanation
9. The overall shape of the distribution is
skewed right, so median and interquartile
range best describe the data set.
Rubric
0.5 point for each measure; 1 point for
explanation
Rubric
a. 1 point
b. 1 point for each
c. 1 point for each value; 1 point for each
interpretation
10. a.
b. Since the overall shape of the
distribution of the data set is
symmetric, the mean and the median
are equally good descriptions of the
salaries of the workers at the
company.
c. Using the mean and the mean
absolute deviation:
41+ 39 + 42 + 41+ 40 + 41+ 42 + 43 + 40 + 41 410
=
= 41
10
10
The mean of the data set is $41,000.
This describes the typical salary of the
workers.
0 + 2 + 1+ 0 + 1+ 0 + 1+ 2 + 1+ 0 8
=
= 0.8
10
10
The mean absolute deviation of the
data set is about $800. This describes
the variability of the salaries of the
workers.
Using the median and the interquartile
range:
Order the data.
39, 40, 40, 41, 41, 41, 41, 42, 42, 43
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Grade 6 Teacher Guide
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Common Core Assessment Readiness