6th Grade Statistics Chapter Questions
1. How does data help us make decisions?
2. Why are there different ways to display data?
3. What are some of the ways to display data?
4. How can data be used to make predictions?
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Chapter Problems
Measures of Center
Classwork
Find the mean, median, and mode for the following data sets.
1) 5.8, 2.9, 6.7, 1.6, 2.9, 4.7
2) 17, 16, 18, 15, 2
3) 7, 3, 10, 5, 5, 6, 6
4) 149, 124, 116, 118, 109, 108, 114, 124, 109
5) 22.3, 22.4, 23.3, 24.5, 22.5
6) 18.99, 17.99, 19.99, 17.99, 17.99, 17.00, 10.99
7) 750, 850, 700, 650, 450
8) 48, 50, 60, 51, 56, 51, 54, 61, 52, 52
Homework
Find the mean, median, and mode for the following data sets.
9) 92, 86, 90, 72, 95, 100, 90, 50
10) 0, 0.3, 0, 0.1, 0, 0.5, 0.2, 0.3
11) 25, 85, 40, 45, 95, 75, 55
12) 118, 116, 130, 106, 116, 146, 143, 129, 121
13) 0.95, 1.09, 0.99, 1.25, 0.99, 1.99
14) 456, 398, 655, 508, 1,186, 625
15) 58, 51, 33, 33, 6, 25, 25
16) 14, 15, 14, 16, 17, 14, 13, 15, 17, 14
Central Tendency Application Problems
Classwork
17) Jordan scored 85, 90, 72, 88, and 92 on his last 5 science tests. What score does he need in
order to have a mean score of 85 in his class?
18) Mary and her family share a family data plan for their cell phones. This month her mom used
450, her father used 380, and her little sister used 230 minutes. They want their average
number of minutes to be 375 minutes. How many minutes should Mary use?
19) Thomas’s bowling average needs to be at least a 250 in order to make his school’s team. In his
last 4 games, he bowled a 243, 271, 218, and 252. What does he need to bowl in his last game
in order to make the team?
20) Find the mean, median, and mode of the data set: 59, 85, 61, 88, 95, 75, 55. Identify the values
that remain the same if “75” is added to the set.
21) Find the mean, median and mode of the data set: 19, 18, 21, 18, 18, 14. Identify the values
that remain the same if “18” is added to the set.
22) Find the mean, median and mode of the data set: 3, 8, 3, 5, 3, 6, 4, 1, 3. Identify the values that
remain the same if “2” is added to the set.
Homework
23) Tonya bought gifts for her family that cost $25, $14, $33, and $19. She has to buy one more
gift and wants her mean cost to be $25. What should she spend on the last gift?
24) Brianna scored 93, 87, 98, 81, 79, and 95 on her last 6 social studies tests. What score does she
need in order to have a mean score of 90?
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25) Jake is training for the 200-meter dash event at the preliminary competition. During his last 4
attempts at practice, he ran it in 22.3 s, 22.4 s, 23.3 s, and 24.5 s. He needs a mean time of 23
seconds in order to qualify for finals. What time does he need for his final attempt?
26) Find the mean, median, and mode of the data set: 51, 43, 37, 39, 6, 30, 25. Identify the values
that remain the same if “33” is added to the set.
27) Find the mean, median, and mode of the data set: 2, 3, 1, 3, 1, 6, 4, 4, 3. Identify the values
that remain the same if “5” is added to the set.
28) Find the mean, median, and mode of the data set: 20, 21, 21, 18, 22, 20, 25. Identify the values
that remain the same if “23” is added to the set.
Measures of Variation – Minimum/Maximum, Range
Classwork
Find the minimum, maximum, and range of each of the following data sets.
29) 30, 31, 28, 18, 30, 4, 1
30) 20, 21, 21, 18, 22, 20, 25
31) 204, 138, 177, 218, 195, 249, 155, 108
32) 72, 95, 80, 80, 87, 80, 81, 62, 83, 87, 92, 64, 86
33) 0.95, 1.09, 0.99, 1.25, 0.99, 1.99
34) 456, 398, 655, 508, 1,186, 625
Homework
Find the minimum, maximum, and range of each of the following data sets.
35) 17, 16, 18, 15, 2
36) 5.8, 2.9, 6.5, 1.6, 2.9, 4.7
37) 48, 50, 60, 51, 56, 51, 54, 61, 52, 52
38) 149, 124, 116, 118, 109, 108, 114, 124, 109
39) 61, 52, 40, 54, 70, 34, 66, 38, 67, 75, 56, 71
40) 10.5, 11.6, 9.8, 7.3, 5.6, 12.1, 8.2, 5.7
Measures of Variation – Quartiles
Classwork
Find the lower quartile (Q1), median (Q2), upper quartile (Q3) and the interquartile range (IQR) of each
of the following data sets.
41) 9, 17, 11, 16, 18, 15, 2
42) 7, 3, 10, 5, 5, 6, 6, 8, 4
43) 220, 340, 130, 180, 230, 340, 100
44) 48, 50, 60, 51, 56, 51, 54, 61, 52, 52
45) 149, 124, 116, 118, 109, 108, 114, 124, 109
46) 14, 3, 7, 22, 18, 25, 12, 38
47) 15, 10, 12, 16, 18, 5, 3, 46, 35, 21, 26
Homework
Find the lower quartile (Q1), median (Q2), upper quartile (Q3) and the interquartile range (IQR) of each
of the following data sets.
48) 52, 41, 33, 39, 6, 30, 25
49) 25, 85, 35, 45, 95, 75, 55
50) 20, 10, 50, 60, 40, 30, 90, 70
51) 118, 112, 130, 106, 116, 146, 143, 129, 134
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52) 150, 132, 116, 118, 109, 108, 114, 124
53) 64, 53, 51, 90, 76, 68, 92, 81, 62, 98
54) 9, 10, 12, 9, 18, 12, 13, 10, 5, 8, 16, 11
Measures of Variation – Outliers
Classwork
55) Which of the following data sets have outlier(s)? Explain how you found your answer.
a. 1, 5, 7, 9, 10, 11, 15
b. 25, 39, 49, 53, 56, 60
c. 18, 19, 20, 24, 30, 60
d. 70, 74, 76, 79, 82, 83
e. 6, 27, 30, 33, 39, 41, 52
Homework
56) Which of the following sets of data have outlier(s)? Explain how you found your answer.
a. 90, 92, 93, 94, 97, 100
b. 48, 50, 51, 51, 54, 56, 65
c. 4, 20, 27, 28, 33, 34, 37
d. 64, 67, 68, 69, 73, 75, 79
e. 18, 33, 38, 39, 42, 43, 46
Measures of Variation – Mean Absolute Deviation
Classwork
Find the mean absolute deviation for each of the following data sets. Round to the nearest hundredth as
necessary.
57) 5, 8, 2, 1, 4, 6, 9
58) 111, 125, 101, 94, 136
59) 7, 10, 7, 10, 6, 7, 2
60) 33, 14, 17, 21, 8, 30, 29, 15
61) 20, 10, 50, 60, 40, 30, 90, 70
62) 150, 131, 116, 118, 109, 108, 114, 124
63) 54, 50, 62, 51, 63, 70, 58, 60, 60, 70
64) 19, 21, 24, 18, 20, 20, 19, 17, 20, 23
Homework
65) 15, 10, 24, 25, 27, 40
66) 11, 10, 12, 9, 18, 12
67) 4, 8, 46, 32, 25, 21, 11
68) 5, 6, 11, 14, 12, 8, 16, 18
69) 220, 340, 120, 180, 230, 340, 100, 70
70) 25, 85, 35, 45, 95, 75, 55, 35
71) 13, 22, 27, 16, 36, 7, 27, 33, 36, 36
72) 6, 7, 2, 9, 6, 0, 20, 10, 16, 18
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Frequency Tables and Histograms
Classwork
73) The following are test grades from your classmates. Organize the data into a frequency table
and create a histogram.
100
73
89
65
86
79
83
95
83
96
83
86
76
69
89
79
74
85
74) The following are times that it took children in gym class to run a mile. Organize this data into
a frequency table and create a histogram.
7:23
8:02
10:04
7:05
7:50
9:24
6:59
9:01
8:34
7:25
8:55
6:39
7:55
11:01
9:28
8:02
9:54
8:24
75) Organize this data into a histogram.
Length of walk time
21
35
48
63
67
11
19
31
43
15
44
37
42
34
69
67
Time
10-19
20-29
30-39
40-49
50-59
60-69
Tally
III
I
IIII
IIII
IIII
Frequency
3
1
4
4
0
4
76)
a. How many students scored
below 70?
b. How many students scored a
52?
c. Can you determine the exact
value of the test grade that was
in the 60’s?
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77) Create a frequency table and a histogram for the data below.
Test Scores
92
84
76
75
85
97
67
48
87
93
87
88
79
68
66
100
99
79
88
81
80
79
99
91
Homework
78) The following is test scores from a math test. Organize these scores into a frequency table and
create a histogram.
78
97
49
99
67
47
97
84
79
87
86
51
97
89
87
84
79
75
97
84
83
79) The following is temperatures in New Jersey in August. Organize them into a frequency table
and create a histogram.
100
102
105
97
95
101
89
88
90
99
95
93
89
89
96
102
91
99
98
92
103
108
98
92
80) Organize this data into a histogram.
Length of time walked
64
41
38
27
11
48
33
13
61
57
49
37
19
69
45
34
24
12
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Time
10-19
20-29
30-39
40-49
50-59
60-69
~6~
Tally
IIII
II
IIII
IIII
I
III
Frequency
4
2
4
4
1
3
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81)
a. How many students scored in the
70’s?
b. How many students scored below
70?
c. How many students scored 90 or
above?
82) Create a histogram and a frequency table for the following data.
Test Scores
92
97
98
97
85
83
97
85
84
76
79
89
99
84
86
77
51
89
83
97
92
78
85
89
Box-and-Whisker Plots
Classwork
83) Use the box-and-whisker plot to find the following:
a.
b.
c.
d.
e.
f.
g.
Median
Minimum
Maximum
Range
Lower Quartile
Upper Quartile
Interquartile Range
Create a box-and-whisker plot for these data:
84) 12, 16, 62, 48, 16, 59, 43, 39
85) Test Grades: 78, 82, 65, 46, 84, 99, 100, 90, 75, 59, 75, 79, 80, 86, 68
86) $21, $50, $78, $13, $45, $5, $12, $37, $61, $11, $77, $31, $19, $11, $29, $16
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87) The price of tablets in dollars at Laptop World and PC Mall are shown in the box-and-whisker
plots below.
Laptop World
PC Mall
a. What percent of tablets at Laptop World cost less than $325?
b. What percent of tablets at PC Mall cost less than $940?
c. How does the price of tablets at Laptop World compare to the price of computers at PC
Mall?
Homework
88) Use the box-and-whisker plot to find the following:
a.
b.
c.
d.
e.
f.
g.
Median
Minimum
Maximum
Range
Lower Quartile
Upper Quartile
Interquartile Range
Create a box-and-whisker plot for each set of data:
89) 30, 57, 34, 40, 32, 52, 54, 48, 56
90) Test Grades: 80, 81, 64, 66, 74, 98, 100, 91, 85, 89, 55, 66, 70, 84, 98
91) 17, 5, 28, 33, 25, 5, 12, 3, 16, 11, 22, 31, 9, 11
92) The box-and-whisker plot below compares the heights of football players on two different
teams.
Owls
Wolverines
a. What percent of the Wolverines are 70 inches or taller?
b. What percent of the Owls are 75 inches or taller?
c. How do the heights of the Wolverines compare to the heights of the Owls?
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Dot Plots
Classwork
Make a line plot for each set of data.
93) 1, 5, 6, 3, 3, 8, 4, 5, 6
94) 130, 160, 140, 180, 160, 160
95) 32, 35, 32, 32, 31, 36, 38, 38, 39
Use the line plot below to answer the following questions.
Game Points Earned Per Team
96)
97)
98)
99)
100)
101)
102)
103)
104)
What is the median?
What is the minimum?
What is the maximum?
What is the range?
What is the lower quartile?
What is the upper quartile?
What is the interquartile range?
What percent of the teams scored more than 5 points?
What is the mode of the data set?
Homework
Make a line plot for each set of data.
105) 30, 25, 60, 45, 60, 25, 45
106) 2, 6, 5, 8, 6, 6, 3, 1, 1, 9, 4
107) 82, 86, 85, 95, 84, 96, 95, 84
Use the line plot below to answer the following questions.
Math Test Scores
108)
109)
110)
111)
112)
What is the median?
What is the minimum?
What is the maximum?
What is the lower quartile?
What is the upper quartile?
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113)
114)
115)
116)
What is the interquartile range?
What percent of the students scored higher than 95%?
What is the mode of the test scores?
What is the mean of the test scores? (Round to the nearest tenths)
Analyzing Data Displays
Classwork
Use the histogram below to answer the following questions. Explain your answers.
117) Which measure(s) of center appropriately represents the data? Why?
a. Mean
b. Median
c. Mode
118) Can you determine if the mean or median is greater? If yes, which is greater and why? If not,
why are you unable to determine the greater value?
119) What would need to happen in order for the mean and median to be closer in value?
Use the box-and-whisker plot to answer the following questions. Explain your answers.
Town Populations in Montana
120) Would the mean or the median represent the data more appropriately in this data set? Why?
121) Is the mean or the median greater? Why?
122) What do you notice about the town populations in the upper half of the data?
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Homework
Use the histogram below to answer the following questions. Explain your answers.
123) Which measure(s) of center appropriately represents the data? Why?
a. Mean
b. Median
c. Mode
124) Can you determine if the mean or median is greater? If yes, which is greater and why? If not,
why are you unable to determine the greater value?
125) What would need to happen in order the mean and median to be closer in value?
Use the box-and-whisker plot to answer the following questions. Explain your answers.
Boxes of Cookies Sold (Per Student)
126)
127)
128)
129)
130)
What is the median?
What is the range?
Would the mean or the median represent the data more appropriately in this data set? Why?
Is the mean or the median greater? Why?
What do you notice about the number of boxes sold in the lower half of the data?
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Chapter Review Multiple Choice
Choose the correct answer for each question. No partial credit will be given.
1. Consider the data set: 78, 81, 100, 69, 97, 81, 86
Select the measure of central tendency that has the greatest value.
a. Median
b. Mean
55
66
c. Mode
2. Consider the data set: 55, 79, 90, 81, 90, 70, 65
Select the statement that is false
a. Mode: 90; Median: 79
b. Median: 79; Range: 45
c. Mean: 75.7; Range: 35
d. Mean: 75.7; Median: 79
3. Sam has the following test grades: 85, 98, 79
What must Sam score on the one remaining test if he wants his test average to be an 88?
a. 87
b. 88
c. 89
d. 90
4. Use the frequency table to determine the number of people that had at least 40 hours of sleep in a
work week.
Hours of sleep during a work week
a. 3
b. 4 c. 7
d. 16
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Types of Dogs Owned by Classmates
16
14
12
10
Number of
Classmates
8
6
4
2
0
Poodle
5.
Collie
Springer
Yorkie
German
Shepard
Terrier
Mixed
Use the histogram above to determine the total number of dogs that are owned by classmates.
a.
15 b. 60 c. 65 d. 70
6. Find the lower quartile (Q1), median (Q2), and upper quartile (Q3) for the given data set.
82, 94, 100, 86, 68, 89, 78, 84
a. Q1: 78; Q2: 84; Q3: 91.5
b. Q1: 82; Q2: 85; Q3: 91.5
c.
Q1: 80; Q2: 85; Q3: 94
d. Q1: 80; Q2: 85; Q3: 91.5
7. Use the box and whisker plot to determine the false statement.
50% of the data lies:
a. between 105 and 132
c. between 122 and 147
b. between 87 and 122
d. between 122 and 132
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8. Use the box and whisker plot to determine the median
a. 30
b. 105 c. 122 d. 135
Use the Histogram to answer questions #9 and #10.
6th Period Math Students’ Test Grades
Number
Of
Students
9. How many students have grades below 70?
a. 2
b. 4
c. 6
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10. How many students are in this class?
a. 13
b. 14
c. 15
d. 16
11. Identify the data set that contains at least one outlier.
a. 5, 20, 22, 30, 18, 14
b. 34, 48, 65, 72, 81, 67, 37
c. 45, 31, 32, 51, 55, 53, 48
d. 2, 5, 8, 10, 1, 12, 9, 13, 13,
12. Find the mean absolute deviation, rounded to the nearest hundredth, for the given data set.
20, 45, 52, 60, 19, 34, 42
a.33.86
b. 12.45
c. 87.14
d. 12.48
13. Mary paired one word to each measure of central tendency. Identify the most accurate pairing.
a. mean – average; mode – middle; median - often
b. mean – often; mode – middle; median - average
c. mean – average; mode – often; median - middle
d. mean – middle; mode – often; median - average
Short Constructed Response – Write the correct answer for each question. No partial credit will be
given.
14. Determine the mean, median and mode for the data set. Round your answers to the nearest
hundredth if necessary.
86, 88, 89, 78, 56, 80, 65
15. Using the test scores from question #14, determine the score that Sal must obtain on his next test
to have a 78 average?
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16. Organize the data into a histogram.
Grade
50-59
60-69
70-79
80-89
17.
Tally
ІІlll
ІІ
llll
Frequency
5
2
0
4
Make a line plot for the set of data.
20, 21, 23, 21, 22, 27, 28, 29, 23, 24, 21, 20, 22, 25, 27, 29
Extended Constructed Response
18.
86
a. Create a Box and whisker plot
89 68
100 79 68
87
88 89
90
80 68
68
98 88
b. Explain the five values identified on the Box and Whisker Plot.
c. Use the given data to create one other type of graph learned in this
unit.
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19. Find the measures of variability for the data set below. Round to the nearest hundredth if
necessary.
131, 145, 67, 89, 127, 156, 189
a. Find the range.
b. Find the interquartile range.
c. Find the mean absolute deviation.
20. The following data set lists the average daily temperatures for ten days in October.
43, 75, 56, 61, 52, 69, 64, 46, 54, 47
a. Create a frequency table.
b. Use the frequency table to create a histogram.
c. What is the overall pattern of the histogram?
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Answer Key
1) Mean: 4.1
Median: 3.8
Mode: 2.9
2) Mean: 13.6
Median: 16
Mode: No mode
3) Mean: 6
Median: 6
Mode: 5 and 6
4) Mean: 119
Median: 116
Mode: 109 and 124
5) Mean: 23
Median: 22.5
Mode: No mode
6) Mean: 17.28
Median: 17.99
Mode: 17.99
7) Mean: 680
Median: 700
Mode: No mode
8) Mean: 53.5
Median: 52
Mode: 51 and 52
9) Mean: 84.375
Median: 90
Mode: 90
10) Mean: 0.175
Median: 0.15
Mode: 0
11) Mean: 60
Median: 55
Mode: No mode
12) Mean: 125
Median: 121
Mode: 116
13) Mean: 1.21
Median: 1.04
Mode: 0.99
14) Mean: 638
Median: 566.5
Mode: No mode
15) Mean: 33
Median: 33
Mode: 25 and 33
16) Mean: 14.9
Median: 14.5
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17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
~ 18 ~
Mode: 14
83
440 minutes
266
Median
Mean, Median, and Mode
Median and Mode
$34
97
22.5 s
Mean =33
Median = 37
Mode = no mode
Add 33 to numbers:
Mean = 33, the same
Median = 35, different
Mode = no mode, the same
Median and Mode
Median & Mode
Minimum: 1
Maximum: 31
Range: 30
Minimum: 18
Maximum: 25
Range: 7
Minimum: 108
Maximum: 249
Range: 141
Minimum: 62
Maximum: 95
Range: 33
Minimum: 0.95
Maximum: 1.99
Range: 1.04
Minimum: 398
Maximum: 1,186
Range: 788
Minimum: 2
Maximum: 18
Range: 16
Minimum: 1.6
Maximum: 6.5
Range: 4.9
Minimum: 48
Maximum: 61
Range: 13
Minimum: 108
Maximum: 149
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Range: 41
39) Minimum: 34
Maximum: 75
Range: 41
40) Minimum: 5.6
Maximum: 12.1
Range: 6.5
41) Q1: 9
Q2: 15
Q3: 17
IQR: 8
42) Q1: 4.5
Q2: 6
Q3: 7.5
IQR: 3
43) Q1: 130
Q2: 220
Q3: 340
IQR: 210
44) Q1: 51
Q2: 52
Q3: 56
IQR: 5
45) Q1: 109
Q2: 116
Q3: 124
IQR: 15
46) Q1: 9.5
Q2: 16
Q3: 23.5
IQR: 14
47) Q1: 10
Q2: 16
Q3: 26
IQR: 16
48) Q1: 25
Q2: 33
Q3: 41
IQR: 16
49) Q1: 35
Q2: 55
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50)
51)
52)
53)
54)
55)
56)
57)
58)
59)
60)
61)
62)
63)
64)
65)
66)
67)
68)
69)
70)
71)
72)
~ 19 ~
Q3: 85
IQR: 50
Q1: 25
Q2: 45
Q3: 65
IQR: 40
Q1: 114
Q2: 129
Q3: 138.5
IQR: 24.5
Q1: 111.5
Q2: 117
Q3: 128
IQR: 16.5
Q1: 62
Q2: 72
Q3: 90
IQR: 28
Q1: 9
Q2: 10.5
Q3: 12.5
IQR: 3.5
C, E
B, E
2.29
13.68
1.71
7.38
21.25
10.31
5.24
1.54
7.33
2
11.43
3.75
70
21.56
8.64
5.28
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73) Test Grades
Grades
61-70
71-80
81-90
91-100
Tally
Frequency
2
5
8
3
Test Grades
10
8
6
4
2
0
61-70 71-80 81-90 91-100
74) One-Mile Run Time
Times
Tally
6:01-7:00
7:01-8:00
8:01-9:00
9:01-10:00
10:01-11:00
11:01-12:00
One-Mile Run Times
6
5
4
3
2
1
0
6:01- 7:01- 8:017:00 8:00 9:00
Frequency
2
5
5
4
1
1
9:01- 10:01- 11:0110:00 11:00 12:00
75) Walk Times
5
4
3
2
1
0
10-19 20-29 30-39 40-49 50-59 60-69
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76)
a. 2
b. 0
c. No, cannot determine from the graph.
77) Test Scores
Scores
41-50
51-60
61-70
71-80
81-90
91-100
Tally
Frequency
1
0
3
6
7
7
Test Scores
10
8
6
4
2
0
41-50 51-60 61-70 71-80 81-90 91-100
78) Test Scores
Scores
Tally
Frequency
40-49
2
50-59
1
60-69
1
70-79
4
80-89
8
90-99
5
Test Scores
10
8
6
4
2
0
40-49 50-59 60-69 70-79 80-89 90-99
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79) August Temperatures in NJ
Temperatures Tally
86-90
91-95
96-100
101-105
106-110
Frequency
5
6
7
5
1
August Temperatures in NJ
8
7
6
5
4
3
2
1
0
86-90 91-95 96-100 101-105 106-110
80) Walk Times
5
4
3
2
1
0
10-19 20-29 30-39 40-49 50-59 60-69
81)
a. 4
82) Test Scores
Scores
50-59
60-69
70-79
80-89
90-99
b. 3
Tally
c. 2
Frequency
1
0
4
11
8
Test Scores
12
10
8
6
4
2
0
50-59 60-69 70-79 80-89 90-99
NJ Center for Teaching and Learning
~ 22 ~
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83)
a. 95
b. 85
c. 130
d. 45
e. 90
f. 120
g. 30
84) Minimum: 12
Q1: 16
Q2:41
Q3:53.5
Maximum: 62
85) Minimum: 46
Q1: 68
Q2: 79
Q3: 86
Maximum: 100
86) Minimum: 5
Q1: 12
Q2: 25
Q3: 50
Maximum: 78
87)
a. 25%
b. 75%
c. Answers will vary. The price of tablets is generally cheaper at Laptop World.
88)
a. 77
b. 62
c. 95
d. 33
e. 69
f. 85
g. 16
89) Minimum: 30
Q1: 33
Q2: 48
Q3: 55
Maximum: 57
NJ Center for Teaching and Learning
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90) Minimum: 55
Q1:66
Q2: 81
Q3: 91
Maximum: 100
91) Minimum: 3
Q1: 7
Q2: 14
Q3: 26.5
Maximum: 33
92)
a. 75%
b. 50%
c. Answers will vary. The Wolverines have a larger range of heights than the Owls.
93)
x
1
2
x
x
x
x
x
x
x
3
4
5
6
x
7
8
9
x
x
x
38
39
10
94)
x
x
130
140
x
x
x
x
31
32
x
x
x
150
160
x
170
180
x
x
35
36
95)
33
34
96) 8
97) 0
98) 10
NJ Center for Teaching and Learning
37
40
99) 10
100) 5.5
101) 8.5
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102) 3
103) 75%
104) 8
105)
x
x
x
25
30
x
x
35
40
x
x
45
50
55
60
106)
x
x
x
x
x
x
x
x
x
1
2
3
4
5
6
x
x
x
82
84
7
x
x
8
9
10
107)
80
108)
109)
110)
111)
112)
113)
114)
115)
116)
117)
118)
119)
120)
121)
122)
123)
124)
x
x
x
x
86
88
90
91
88
98
89
95
6
33%
89%
92.2%
B, C
Yes, Median
Answers will vary. The data ranges
from 30-99. The lower grades bring
down the mean. If the 30 grade was
removed from the data set, the mean
would be closer to the median.
Mean
Mean
Answers will vary. The upper half of
the data has a higher range of data
values than the lower half.
A, B, C
Yes, Median
NJ Center for Teaching and Learning
~ 25 ~
92
94
x
96
98
125) Answers will vary. Remove the low
40-49 grades from the data set.
126) 95
127) 45
128) Mean
129) Mean
130) There were less sold. The data values
were closer in value and did not vary
as much as the upper half of the data.
Unit Review
1. B
2. B
3. D
4. C
5. B
6. D
7. D
8. C
9. D
10. C
11. A
12. B
13. C
14. MEAN: 77.43
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MEDIAN: 80
MODE: NO MODE
15. 82
16.
GRADES
6
5
5
4
4
3
GRADES
2
2
1
0
0
50 - 59
17.
60-69
70-79
80-89
18.
X
X
X
X
X
X X
X X X
X
X
X X
X
X
20 21 22 23 24 25 26 27 28 29
18.
B. See data above. Also, range: 32, IQR: 21
C. Answers will vary.
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~ 26 ~
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19. a. Range= 122
b. Interquartile Range= 67
c. Mean Absolute Deviation= 29.84
20. a. Temperatures in October
Temperature Tally
40-49
50-59
60-69
70-79
b. Temperatures in October
Frequency
3
3
3
1
3.5
3
2.5
2
1.5
1
0.5
0
40-49
50-59
60-69
70-79
c. Answers will vary. Most of the temperatures were concentrated between 40-69 degrees.
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