Chapter 6 Assessment

Chapter 6 Assessment
Multiple Choice
1. The boxplot summarizes the test scores
of a math class?
Test Scores
Based on the box plot, which of these
must be true?
3. Which points in the data set below are
outliers?
73, 73, 74, 75, 75, 75, 77, 77, 77, 77, 78,
78, 89, 90
a.
b.
c.
d.
73, 73
73, 73, 74
78, 78, 89, 90
89, 90
4. Four teachers gave a test to their classes.
A summary of the test results are shown
below:
TEST RESULTS
a. The median score is 70.
b. The lower quartile score is 65. c. Half of the scores are between 65
and 75.
d. The interquartile range is half of the
range.
2. For the given boxplot, what are the
correct summary statistics?
Teacher
Min
Score
Q1
Med
Score
Q3
Max
Score
Mrs.
Lee
52
73
83
89
95
Mr.
Green
54
75
79
89
93
Ms.
Jimenez
73
78
84
93
96
Mr.
Wang
42
83
91
96
100
Which teacher’s class has the widest
spread in the middle 50% of the test
scores?
a.
b.
c.
d.
Min: 5, Max: 45, IQR: 10, Med: 20
Min: 0, Max: 45, IQR: 15, Med: 10
Min: 5, Max: 50, IQR: 10, Med: 10
Min: 0, Max: 50, IQR: 15, Med: 10
a.
b.
c.
d.
Mrs. Lee
Mr. Green
Ms. Jimenez
Mr. Wang
5. A student rolled two 6-sided number
cubes several times. The numbers below
are the sums of the numbers she rolled.
Which histogram represents the data?
7, 11, 2, 6, 7, 9, 12, 3, 7, 4, 8, 3, 5, 10, 7,
8, 11, 5, 4, 12
a.
6. John and Samantha discovered that the
means of their grades for the second
quarter of their science class were
identical. They also noticed that the
standard deviation of John's grades is 20.3,
while the standard deviation of
Samantha’s grades is 2.3. Which statement
must be true?
Frequency
10
8
6
4
2
2-5
b.
6-9
Sum
10-12
a. In general, Samantha’s grades were
lower than John’s grades.
b. Samantha’s grades are more consistent
than John’s grades.
c. Samantha had more failing grades
during the marking period than John
had.
d. The median for Samantha’s grades is
lower than the median for John’s
grades.
Frequency
10
8
7. The dot-plot represents the number of
pizza orders called in during one hour of
business. What is the maximum and
minimum entry?
6
4
2
2-5
6-9
Sum
10-12
10
Frequency
c.
Number of Pizza Orders
8
6
a.
b.
c.
d.
4
2
2-5
6-9
Sum
10-12
2-5
6-9
Sum
10-12
10
Frequency
d.
8
6
4
2
min: 1; max: 4
min: 12; max: 17
min: 15; max: 14
min: 24; max: 34
8. The following are prices for a 25 inch
T.V. found in different stores around
Roseville:
11. Consider the following two histograms
and decide which of the statements are
true.
100, 98, 121, 111, 97, 135, 136, 104,
135, 138, 189, 114, 92, 69
Which of the following describes the
data?
a.
b.
c.
d.
Skewed to the right
Symmetric
Skewed to the left
Uniform
9. For the following data set, calculate the
standard deviation (use a calculator).
Miles per Day
2
5
7
10
a.
b.
c.
d.
Frequency
5
4
3
6
1.29
3.28
3.37
6.17
10. What mathematical term would you use
to describe 12 movies watched last
month?
Number of Movies Watched Last Month
a.
b.
c.
d.
mode
median
range
outlier
I. Both graphs have gaps and clusters.
II. Only one graph is symmetric.
III. Both graphs have the same mean.
IV. Both graphs have the same range.
a.
b.
c.
d.
I, II, III, and IV
II, III, and IV
I, III, and IV
III and IV
12. Which of the following displays a data
distribution on a five number summary?
a.
b.
c.
d.
box-and-whisker plot
dot-plot
frequency table
histogram
13. The median of a distribution is 150 and
the interquartile range is 50. Identify the
statement(s) that must be true.
15. The box-and-whisker plots below show
the average monthly temperatures for
Boston and Seattle.
I. 50% of the data are between 125 and
175.
II. 50% of the data are less than 150.
III. 75% of the data are greater than 125.
a.
b.
c.
d.
I only
II only
I and II only
I, II, and III
Number of Families
14
12
10
8
6
4
2
0-2
3-5
6-8
9-11 12-14
Number of Pets
Which statement is true about the
histogram?
a.
b.
c.
d.
Boston
Which of the following statements are
true?
14. The histogram shows the number of pets
that families own.
0
Seattle
All families have 2 or more pets
Most families have 12 pets
Most families have less than 9 pets
Most families have more than 9 pets
I. The temperatures in Seattle have a
greater spread than the temperatures
in Boston.
II. Boston and Seattle have nearly
identical median temperatures.
III. The interquartile range for the
temperatures in Boston is greater
than the interquartile range for the
temperatures in Seattle.
a.
b.
c.
d.
I and II only
II only
II and III only
III only
Chapter 7 Assessment
Multiple Choice
1. Claire makes monthly payments on her
loan at the bank. She pays different
amounts each month. However, she can
approximate the total amount that she
owes the bank by using the linear
equation y = -150x + 1250, where y is
the total amount owed and x is the
number of months in repaying the loan.
Which statement is true based on the
equation?
a. She started with a total loan of $150
b. She started with a total loan of
$1,100.
c. She pays approximately $1,250 each
month.
d. She pays approximately $150 each
month.
2. Merideth planted tulips around her
house. Each day, she tracks the number
of blossoming buds. For the 10 days
that she tracks the tulips, she finds that
the linear equation y = 2x + 3 estimates
the number of blossoming buds on any
of the days from 1-10. What does the
slope represent in this context?
a. Approximately 3 buds blossom each
day.
b. Approximately 2 buds blossom each
day.
c. The day Merideth started tracking
blossoming buds, there were already
2 blossoming buds.
d. The day Merideth started tracking
blossoming buds, there were already
3 blossoming buds.
3. Ms. Rosenberg collects information
about her students. She records students’
favorite movie type in the table below,
and separates the responses by age.
Age
Comedy
Favorite movie genre
Romantic
Action
comedy
Thriller
15 years old
8
14
22
9
16 years old
13
16
18
5
How many students are 15-year-olds and
prefer action movies?
a.
b.
c.
d.
8
14
18
22
4. A survey of 900 students was conducted
regarding the Mascot for their new junior
high school. The results are summarized in
the table below.
Male
Female
Total
Cougars
143
119
262
Hawks
153
165
318
Knights
166
154
320
What percentage of females preferred
Knights?
a.
b.
c.
d.
35.16%
35.93%
48.13%
48.67%
Total
462
438
900
5. Which scatter plot is most likely to have
a correlation coefficient of r = -0.5?
6. What should be true in order for a scatter
plot to show that a linear fit may be
appropriate for a data set?
a.
a. The points should appear as an upward
curve.
b. The points should be scattered
randomly.
c. The points should appear to lie
generally along a line.
d. The points for should all lie above the
line or below the line.
b.
7. The scatter plot shows a relationship
between the amount of time a customer
waits in line and the number of people in
line ahead of that customer when he/she
entered the line.
c.
Minutes Waiting
60
50
40
30
20
10
0
2
4
6
8
10
12
People Ahead of Customer
d.
Which equation would represent the line
of best fit for this data?
a.
b.
c.
d.
y = 7.5x + 2.6
y = 4.5x + 12.4
y = 2.5x + 27.5
y = 0.2x – 2
8. Using line of best fit in the graph below,
what is the best prediction of electrical
use when the high temperature is 90°?
10. The scatter plot below shows the
relationship between the age and value
of Judy’s car. A curve of best fit has
been drawn.
Energy Consumption
Value of Judy’s Car
Electricity (×1,000 kWh)
1000
20000
800
Value (in dollars)
16000
600
400
200
80
90
100
○
High Temperature ( F)
700,000 kWh
780,000 kWh
850,000 kWh
1,000,000 kWh
9. The table shows the growth of the world
population. Use the table of data below
to determine which equation best models
this data.
Year
1650
1850
1930
1975
2004
a.
b.
c.
d.
8000
4000
70
a.
b.
c.
d.
12000
Population
(millions)
500
1000
2000
4000
6400
y = -22958.64x – 13.68
y = (.005)(1.01)x
y = (1.01)(.005)x
y = 13.68x – 22958.64
0
1
2
3
4
5
Age of Car (in years)
6
Use the curve of best fit to approximate
how much Judy’s car will have
decreased in value when the car is 6
years old.
a.
b.
c.
d.
$4,000
$6,000
$16,000
$20,000
11. A data set has a correlation coefficient of
0.013. Which statement about the data
is true?
a. The data has a strong negative linear
correlation.
b. The data has a weak negative linear
correlation.
c. The data has a strong positive linear
correlation.
d. The data has little or no linear
correlation.
12. Which statement describes causation?
a. When event x increases, event y
decreases.
b. Event x and event y have a linear
correlation.
c. When event x increases, event y
increases.
d. Event x is responsible for a change in
event y.
13. Victor is collecting data about number of
M&Ms in a cup vs. weight of the cup.
Which of the following is true about the
relationship between these quantities?
a. There is correlation but not
causation.
b. There is causation but not
correlation.
c. There is both causation and
correlation.
d. There is neither causation nor
correlation.
15. What is the purpose of residual plots?
a. To determine causation.
b. To assess the type of relationship
that exists between x and y.
c. To check the appropriateness and fit
of the regression equation for the
data.
d. To measure the variability in the
residuals.
16. Consider the following residual plot:
Which of the following statements is/are
true?
I.
The residual plot indicates that a
line is a reasonable model for
the data.
II. The residual plot indicates that
there is no relationship between
the data.
III. The correlation between the
variables is probably non-zero.
14. Hannah randomly selected 14 men and
measured the height and shoe size of
each. She found the correlation
coefficient to be 0.93. Based on her data,
which of the following is a reasonable
conclusion about the relationship
between these two quantities?
a. There is correlation but not
causation.
b. There is causation but not
correlation.
c. There is both causation and
correlation.
a. There is neither causation nor
correlation.
a.
b.
c.
d.
I only
II only
I and III only
II and III only
Pepperoni
.02
.15
.15
.32
Veggie
.03
.08
.08
.19
Total
.12
.53
.35
1
a. More people prefer veggie than
pepperoni pizza.
b. The least favorite type of crust is thin
crust.
c. Cheese pizza is the overall favorite
type of pizza.
d. Stuffed crust pizza is more popular
than thick crust pizza.
a.
Residuals
Stuffed
Thick
Thin
Total
Cheese
.07
.30
.12
.49
20. Which of the following residual plots
indicates a reasonable fit to a given set
of data?
0
Residuals
18. The relative frequency table shows types
of pizza sold at Katie’s Pizza Parlor
during one day. What can you conclude
for the table?
a. Number of hours devoted to studying
for a final exam and a student’s
grade on the final
b. The speed of a vehicle and the time
to reach your destination
c. A teacher’s salary and the number of
years of teaching experience that
teacher has
d. The age of and the number of miles
an automobile has
0
Residuals
a. the number of daylight hours each
day for a month
b. the amount of snowfall each week
during the winter season
c. the number of movies rented during
the summer
d. the number of types of meals and
types of drinks students purchase in
the lunchroom
19. Which of the following associations is
likely to have a negative correlation?
0
Residuals
17. Which type of information could best be
displayed on a two-way frequency table?
0
b.
c.
d.
21. Which graph most clearly shows a
positive correlation between the x and y
values?
a.
y
10
8
Hours (x)
6
4
2
0
2
4
6
8
10 x
b.
y
10
6
4
2
2
4
6
8
10 x
2
4
6
8
10 x
2
4
6
8
10 x
c.
y
10
8
6
4
2
0
d.
y
10
8
6
4
2
0
0
1
2
3
4
5
6
7
Number of
Bacteria (y)
1200
780
510
330
210
140
100
85
a. all real numbers
b. all real numbers greater than or equal
to 0
c. all real numbers greater than or equal
to 0 and less than or equal to 1200
d. all real numbers greater than or equal
to 0 and less than or equal to 7
8
0
22. The table shows the number of bacteria
in a culture at the start of each hour as it
is being studied. If an exponential
function is used to model the problem
situation, what would be the domain of
the function?
#6 EOL Practice Test – Answers
Chapter #6
1. B
2. D
3. D
4. A
5. B
6. B
7. B
8. A
9. B
10. B
11. D
12. A
13. B
14. C
15. C
Chapter #7
1. D
2. B
3. D
4. A
5. C
6. C
7. B
8. A
9. B
10. C
11. D
12. D
13. C
14. A
15. C
16. C
17. D
18. C
19. B
20. C
21. C
22. B