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CCGPS Math 6th Grade Unit 6 Study Guide — Statistics
SHOW ALL WORK ON A SEPARATE SHEET OF PAPER.
Develop understanding of statistical variability.
1.
Describe how to identify a statistical question.
A question that has multiple answers
2. Which of the following is a statistical question? Explain your reasoning.
a. How tall is the governor of our state?
b. How many foreign countries have you visited?
c. What is the temperature right now?
d. What are the colors of the U.S. flag?
3. Which question is a statistical question that anticipates variability? Explain your reasoning.
a. What is my favorite animal to own?
b. What animals do students in my school own?
c. What is the most common animal that you see on a farm?
d. What is the animal owned the most by students in my school?
The data display below represents the ages of Women and Men at Bingo Night.
Ages of Players at Bingo Night
Women
Men
72 74 76 78 80 82 84 86 88 90
What is the “five number summary” for women?
Min =___74__ Max= __90___ Median (Q2) = __82___ LQ (Q1) = __76____ UQ (Q3) = __84____
What is the “five number summary” for men?
Min =___72__ Max= __84___ Median (Q2) = ___76__ LQ (Q1) = __74____ UQ (Q3) = __80____
4. Data can have a variety of shapes. In a data set that is skewed, most of the data lies to one side or the other
side of the mean, rather than in the middle with the mean. Identify which type of data distribution is shown.
a) skewed right
b) normal
c) skewed left
a) skewed right
b) normal
c) skewed left
a) skewed right
b) symmetrical
c) skewed left
5. A measure of ________ for a numerical data set summarizes all of its values with a single number.
a) shape
b) deviation
c) symmetry
d) center
6. Which of the following are considered measures of variability?
mean, interquartile range, median, mean absolute deviation, mode, range
7. Vladimir recorded the number of siblings (brothers and sisters) each of his classmates has in the dot plot
below.
7a. Which of the following would be the best measure of center?
c) interquartile
a) mean
b) median
range
d) mean absolute
deviation
7b. How many siblings were surveyed?
21 siblings
8. Trey recorded the number of ounces of water he drank each day in the histogram below.
Which of the following would be the best measure of variability?
a) interquartile range
b) mean
c) mean absolute deviation
d) median
9. Chantall recorded her bowling scores for the quarter in the table below.
120
106
124
98
101
96
Bowling Scores
125
118
103
111
90
115
117
123
127
If she makes a histogram with intervals of 90-99, 100-109, 110-119, and 120-129, what is the height of the bar
for the interval 120-129?
a) 1
b) 2
c) 3
d) 5
10. Brandon recorded the weights in pounds of the fish caught while fishing with his uncle. His data is shown below.
Make a dot plot to display the data.
27, 34, 19, 8, 15, 32, 20, 24, 36, 30, 17
A number line with a dot above each number in the data set.
11. Jordan’s test scores are 85, 90, 89, 88. What does he need to score on his next test for his average to be a
90?
98
12. Adam recorded the number of flower blooms on each of his ten rose bushes.
9, 10, 4, 12, 15, 17, 18, 10, 12, 13
What is the median of the data set?
12
What percent of the data is ABOVE the median?
50%
If he combined the number of blooms into one data set, which box plot correctly displays the data?
a)
c)
b)
d)
Use the graph below to answer questions 14-16
Number of Items Bought at the Grocery Store
25
30 35 40
45 50 55 60 65 70
13. What is the maximum value in the data set in the following data set?
65
14. What is the median of the data set?
55
15. What percent of the data is below 40?
25%
16. Create a Stem-and-Leaf plot to represent the ages of people at the Senior Citizen Dance.
Data: 70, 92, 54, 64, 57, 81, 94, 67, 68, 57, 62
https://www.youtube.com/watch?v=39BU7o5QTLA
17. The owner of an independent music store monitored CD sales over a period of day. The histogram shows the
results.
Explain the empty 80–90 interval.
There are no days when he sold 80-89 CD’s.
18. Find the mean, median, and mode of the data represented in the dot plot.
Median = 8, Mean = 8, Mode = 8
19. The mean absolute deviation (MAD) of the data below is 6.4.
24, 19, 16, 33, 33
How much greater than the MAD is the interquartile range of the data?
a) 9.1
b) 11.1
c) 17.6
d) 26.6
20. The heights in inches of seven baseball players are listed below.
73, 74, 79, 88, 76, 84, 83
What is the interquartile range of the heights?
a) 10
b) 80
c) 15
d) 11
21. Explain which of the following points represents a striking deviation in the box plot above.
P
22. Ashley saved money every month last year. The table below shows how much money she saved each month.
Dollars Saved
Month
Money Saved
(in dollars)
Jan.
Feb.
Mar.
Apr.
May
June
July
Aug.
Sep.
Oct.
Nov.
Dec.
96
38
162
65
178
112
57
143
135
104
88
22
What is the mean absolute deviation of the amounts she saved?
a) 156
b) 18
c) 23
d) 39
23. Allan recorded the number of baseball cards that were traded at a local hobby store. Use the information to
find the following statistical measures.
 minimum value
 lower quartile (Q1)
155 135 150 145 100
 maximum value
 upper quartile (Q3)
110 100 160 170 155
 median
 Interquartile range
Min = 100, Max = 170, Median = 147.5, LQ = 110, UQ = 155, IQR = 45
24. Examine the box-and-whisker plot below, which shows the length of fish (in centimeters) that were caught one
afternoon by a group of campers. Which statement about the data in the graph is true?
a.
b.
c.
d.
The range is 5.5 cm.
The third quartile is 2 cm greater than the first quartile.
The interquartile range is 4 cm.
The median length is 12 cm.