Question 1

Which measure of center is most affected by the presence of an outlier in a data set?

Accepted Answer

The mean

Question 2

A hospital records the number of patients admitted each day for a week: 12, 15, 14, 13, 50, 14, 13. Which measure of center would best represent the typical number of admissions, and why?

Accepted Answer

The median, because it is resistant to the extreme value (50).

Question 3

Given the data set: 7, 9, 12, 15, 18, what is the midrange?

Accepted Answer

The midrange is $$\frac{7+18}{2} = 12.5$$

Question 4

Which of the following statements about the mode is TRUE?

Accepted Answer

A data set can have no mode, one mode, or multiple modes.

Question 5

A data set has values: 2, 4, 4, 6, 6, 8. What is the mode?

Accepted Answer

The data set is bimodal: 4 and 6.

Question 6

Which measure of center is described as 'not resistant' and is rarely used?

Accepted Answer

The midrange

Question 7

If a data set has the values: 10, 12, 14, 16, 18, 20, what is the median?

Accepted Answer

The median is $$\frac{14+16}{2} = 15$$

Question 8

Which measure of center is most appropriate for qualitative data, such as favorite ice cream flavors?

Accepted Answer

The mode

Question 9

A data set has values: 3, 5, 7, 9, 11. If the largest value (11) is changed to 100, which measure of center will change the most?

Accepted Answer

The mean

Question 10

Which of the following is a property of the mean?

Accepted Answer

It uses every data value in the calculation.

Question 11

A data set has values: 1, 2, 3, 4, 5, 6, 7, 8. What is the mean?

Accepted Answer

The mean is $$\frac{1+2+3+4+5+6+7+8}{8} = 4.5$$

Question 12

Which measure of center is defined as the value midway between the maximum and minimum values?

Accepted Answer

The midrange

Question 13

A data set has values: 5, 7, 9, 11, 13. What is the median?

Accepted Answer

The median is 9

Question 14

Which measure of center is most likely to be used when summarizing the salaries of employees in a company with a few extremely high earners?

Accepted Answer

The median

Question 15

If a data set has no repeated values, what can be said about its mode?

Accepted Answer

There is no mode.

Question 16

A data set has values: 2, 4, 6, 8, 10, 12. If the minimum value is changed from 2 to -20, which measure of center will change the least?

Accepted Answer

The median

Question 17

Which measure of center is defined as the middle value when the data is sorted, and is resistant to outliers?

Accepted Answer

The median

Question 18

A data set has values: 1, 2, 2, 3, 3, 4, 4, 5. What is the mode?

Accepted Answer

The data set is multimodal: 2, 3, and 4

Question 19

Which of the following is NOT a property of the median?

Accepted Answer

It uses every data value in its calculation.

Measures of Center in Statistics

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