AnswersConcepts in Probability and Statistics ARange and Interquartile Range

Range and Interquartile Range Answers

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Which method can be used to find the range of a set of data?

A
Find the difference between the maximum and minimum values.
B
Find the difference between the upper and lower quartiles.
C
Find the median of the upper half of an ordered data set.
D
Find the sum of the maximum and minimum values.
2
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Mrs. Juarez graded ten English papers and recorded the scores.92, 95, 100, 62, 88, 90, 100, 96, 89, 98Which statements are true? Check all that apply.

A
The range of scores is 38.
B
Without the outlier, the range of scores would be 12.
C
The outlier impacts the range more than it impacts the interquartile range.
D
The interquartile range is 9.
E
The interquartile range is 4.
F
Without the outlier, the interquartile range would be 9.5.
3

What is the interquartile range of this set of data? 15, 19, 20, 25, 31, 38, 41

A
6
B
13
C
19
D
26
4

What are the steps to find the lower and upper quartiles of a data set?

A
1. Order the values. 2. Find the median. 3. Find the lower quartile. 4. Find the upper quartile.
B
1. Find the median. 2. Find the lower quartile. 3. Find the upper quartile.
C
1. Order the values. 2. Find the lower quartile. 3. Find the upper quartile.
D
1. Order the values. 2. Find the lower quartile. 3. Find the upper quartile. 4. Find the median.
5

Kate recorded the number of minutes she read each day for the last two weeks in the table. Week 1Week 2Sunday8555Monday3550Tuesday5045Wednesday6045Thursday3040Friday3530Saturday5050How can Kate figure out which week had the larger range in minutes read?

A
1. Order the minutes for each week.2. Find the range for each week. 3. Compare the ranges. Week 1 had the larger range in minutes.
B
1. Order the minutes for each week.2. Find the range for each week.3. Compare the ranges. Week 2 had the larger range in minutes.
C
1. Find the difference between the Sunday and Saturday minutes for each week.2. Compare the ranges.Week 1 had the larger range in minutes.
D
1. Find the difference between the Sunday and Saturday minutes for each week.2. Compare the ranges.Week 2 had the larger range in minutes.
6

Harlon recorded this set of data, which contains an outlier.163, 97, 184, 199, 169, 175What is the range of this set of data?

A
12
B
97
C
102
D
172
7

Which method can be used to find the interquartile range for a set of data?

A
Find the difference between the maximum and minimum values.
B
Find the difference between the upper and lower quartiles.
C
Find the median of the upper half of an ordered data set.
D
Find the sum of the maximum and minimum values.
9

What is the range for this set of data?38, 17, 55, 40

A
2
B
38
C
39
D
72
10

Use the data set to determine which statements are correct. Check all that apply.115, 120, 118, 104, 109, 148, 135, 141, 139

A
The median is 120.
B
The median is 109.
C
There is an outlier.
D
The lower quartile is 118.
E
The lower quartile is 112.
F
The upper quartile is 140.
G
The upper quartile is 141.
H
The interquartile range is 28.
11

Use the data set to determine which statements are correct. Check all that apply.35, 41, 18, 75, 36, 21, 62, 29, 154, 70

A
The median is 36.
B
The median is 38.5.
C
There is an outlier.
D
The lower quartile is 29.
E
The lower quartile is 18.
F
The upper quartile is 29.
G
The upper quartile is 70.
H
The interquartile range is 41.
12

Swati recorded this data set, which contains an outlier.163, 97, 184, 199, 169, 175What numbers represent the lower and upper quartiles?

A
lower quartile: 163upper quartile: 184
B
lower quartile: 163upper quartile: 172
C
lower quartile: 172upper quartile: 184
D
lower quartile: 184upper quartile: 163
13

Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218What numbers represent the range, lower quartile, and upper quartiles?

A
range: 210.5lower quartile: 200upper quartile: 218
B
range: 14lower quartile: 111upper quartile: 198
C
range: 119lower quartile: 218upper quartile: 200
D
range: 119lower quartile: 200upper quartile: 218
14

What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41

A
lower quartile: 19upper quartile: 25
B
lower quartile: 25upper quartile: 38
C
lower quartile: 19upper quartile: 38
D
lower quartile: 15upper quartile: 41
15

A car dealership owner created a data table to see how many new and used cars were sold over several months. MonthNewUsedJuly3763August4532September2044October2739November7112December4887What is the range for the number of cars, new and used, that were sold from July to December?

Answer not available
16

Eight car dealerships reported the number of cars they sold last month.Car DealershipNumber of Cars SoldGMC84Chevrolet81Nissan92Toyota92Ford 95Honda94Hyundai80Acura72What is the interquartile range of this set of data?

A
5
B
7.5
C
12.5
D
23
17

Which describes how to calculate the range of this data set?4, 5, 6, 8, 11, 12

A
Subtract .
Option A
B
Subtract .
Option B
C
Add .
Option C
D
Add .
Option D
18

Raj recorded the scores of six of his classmates in the table. Math Scores9876100888270What is the range of their test scores?

A
28
B
30
C
85
D
86

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