Deck 4: Measures of Dispersion

Question 1

What is the range of the following numbers? 9, 12, 14, 18, 22

A) 5.5
B) 13
C) 14
D) 22

Answer 1

13

Question 2

What is the interquartile range of the following numbers? 9, 12, 14, 18, 22

A) 9.5
B) 10
C) 13
D) 14

Answer 2

9.5

Question 3

What is the mean deviation of the following numbers? 9, 12, 14, 18, 22

A) 0
B) 4
C) 5
D) 20

Answer 3

4

Question 4

What is the mean deviation of the following numbers? 68, 70, 76, 84, 87, 89

A) 0
B) 7.67
C) 46
D) 76

Question 5

What is the sum of squares of the following numbers? 9, 12, 14, 18, 22

A) 4
B) 81
C) 104
D) 484

Question 6

What is the sum of squares of the following numbers? 68, 70, 76, 84, 87, 89

A) 7.67
B) 21
C) 328
D) 400

Question 7

Use the following data to answer questions :
2, 7, 4, 4, 1, 2, 2, 3, 1, 2, 4, 5.

-What is the range?

A) 2
B) 5
C) 6
D) 7

Question 8

Use the following data to answer questions :
2, 7, 4, 4, 1, 2, 2, 3, 1, 2, 4, 5.

-What is the interquartile range?

A) 2
B) 5
C) 6
D) 7

Question 9

Use the following data to answer questions :
2, 7, 4, 4, 1, 2, 2, 3, 1, 2, 4, 5.

-What is the variance?

A) 2
B) 3.2
C) 4.3
D) 7

Question 10

Use the following data to answer questions :
2, 7, 4, 4, 1, 2, 2, 3, 1, 2, 4, 5.

-What is the standard deviation?

A) 1.8
B) 3.2
C) 7
D) 10.2

Question 11

The 2006 GSS reports the number of weeks respondents worked in the year prior. Answer questions using the following selection from this sample:
25, 29, 32, 38, 42, 46, 50, 52

-What is the range?

A) 25
B) 27
C) 40
D) 52

Question 12

The 2006 GSS reports the number of weeks respondents worked in the year prior. Answer questions using the following selection from this sample:
25, 29, 32, 38, 42, 46, 50, 52

-What is the interquartile range?

A) 17
B) 25
C) 27
D) 40

Question 13

The 2006 GSS reports the number of weeks respondents worked in the year prior. Answer questions using the following selection from this sample:
25, 29, 32, 38, 42, 46, 50, 52

-What is the variance?

A) 7.03
B) 42.3
C) 49.4
D) 99.1

Question 14

The 2006 GSS reports the number of weeks respondents worked in the year prior. Answer questions using the following selection from this sample:
25, 29, 32, 38, 42, 46, 50, 52

-What is the standard deviation?

A) 7.03
B) 9.95
C) 49.4
D) 52

Question 15

using the following frequency distribution:
NUMBER OF BROTHERS AND SISTERS
$\begin{array}{l}\text { } \\\begin{array}{|l|l|}\hline \text { \(~~ ~~~\) \(~~ ~~~\)\(~~ ~\) \(~~ ~~~\) } & Frequency \\\hline \text { \(~~ ~~~\) \(~~ ~~~\) } 1& 6 \\ \text { \(~~ ~~~\) \(~~ ~~~\) } 2 & 2 \\ \text { \(~~ ~~~\) \(~~ ~~~\) } 3 & 3 \\ \text { \(~~ ~~~\) \(~~ ~~~\) } 4 & 5 \\ \text { \(~~ ~~~\) \(~~ ~~~\) } 5 & 1 \\ \text { Total } & 17 \\ \hline\end{array}\end{array}$

-What is the variance?

A) 3
B) 7.5
C) 19
D) 38

Question 16

using the following frequency distribution:
NUMBER OF BROTHERS AND SISTERS
$\begin{array}{l}\text { } \\\begin{array}{|l|l|}\hline \text { \(~~ ~~~\) \(~~ ~~~\)\(~~ ~\) \(~~ ~~~\) } & Frequency \\\hline \text { \(~~ ~~~\) \(~~ ~~~\) } 1& 6 \\ \text { \(~~ ~~~\) \(~~ ~~~\) } 2 & 2 \\ \text { \(~~ ~~~\) \(~~ ~~~\) } 3 & 3 \\ \text { \(~~ ~~~\) \(~~ ~~~\) } 4 & 5 \\ \text { \(~~ ~~~\) \(~~ ~~~\) } 5 & 1 \\ \text { Total } & 17 \\ \hline\end{array}\end{array}$

-What is the standard deviation?

A) 2.7
B) 4.4
C) 7.5
D) 19

Question 17

For all normal curves, one standard deviation above and below the mean constitutes roughly ----------- of all cases.

A) 34%
B) 68%
C) 95%
D) 100%

Question 18

For all normal curves, two standard deviations above and below the mean constitute roughly ---------------- of all cases.

A) 34%
B) 68%
C) 95%
D) 100%

Question 19

For all normal curves, one standard deviation below the mean constitutes roughly ------------- of all cases.

A) 34%
B) 68%
C) 95%
D) 100%

Question 20

For all normal curves, two standard deviations above the mean constitute roughly ------------ of all cases.

A) 47.5%
B) 68%
C) 95%
D) 100%

Question 21

The interquartile range is calculated by subtracting the first quartile from the highest value.

Question 22

Variance is calculated by averaging the deviations from the mean.

Question 23

Normal curves exist only in theory, not in reality.

Question 24

It is impossible to have two distributions with identical measures of central tendency, but different values for their standard deviation.

Question 25

For all normal curves, one standard deviation above and below the mean constitutes roughly 95% of cases.

Question 26

What do measures of dispersion tell us?

Question 27

When should we use measures of dispersion as opposed to measures of central tendency?

Question 28

Determine the range and interquartile range for the following data: 15, 22, 25, 16, 10, 19, 24, 68, 17, 24.
a. Range:
b. Interquartile range:

Question 29

Which is the better measure for question 31, and why?