Question 1

Given the data set: 5, 10, 14, 12, 12, what is the median?

Accepted Answer

$$12$$

Question 2

A college class has the following ages: 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33. What is the median age?

Accepted Answer

$$25$$

Question 3

Which measure of center is less affected by outliers in a data set?

Accepted Answer

Median

Question 4

A sample of home prices (in thousands of dollars) is: 275, 228, 800, 280, 308, 287, 501, 342. Which measure is more representative of the typical home price in this city?

Accepted Answer

Median

Question 5

Given the data set: 5, 10, 14, 12, 12, 7, what is the median?

Accepted Answer

$$11$$

Question 6

A histogram shows the number of college credits per semester for a sample: 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15. What is the median number of credits?

Accepted Answer

$$13$$

Question 7

Why might the median be preferred over the mean when summarizing salaries of graduates?

Accepted Answer

The median is less affected by extremely high or low salaries

Question 8

For the data set: 5, 10, 14, 12, 12, 7, 8, what is the median?

Accepted Answer

$$10$$

Question 9

If a data set is symmetric and has no outliers, which measure of center is generally preferred?

Accepted Answer

Mean

Question 10

A sample of 8 home prices (in thousands): 275, 228, 800, 280, 308, 287, 501, 342. Calculate the median.

Accepted Answer

$$298.5$$

Question 11

Which of the following is NOT a disadvantage of using the mean as a measure of center?

Accepted Answer

Does not use all data values

Question 12

A data set contains the values: 5, 10, 14, 12, 12, 7, 8, 9. What is the median?

Accepted Answer

$$9.5$$

Question 13

Which statement best describes the median?

Accepted Answer

It is the middle value when data are ordered from smallest to largest

Question 14

A data set is highly skewed to the right. Which measure of center is likely to be higher?

Accepted Answer

Mean

Question 15

If a data set has an even number of values, how is the median calculated?

Accepted Answer

By averaging the two middle values

Question 16

A sample of salaries (in thousands): 30, 40, 50, 60, 70, 100, 110, 120. Which measure of center is most affected by the highest salaries?

Accepted Answer

Mean

Question 17

Which of the following is a PRO of using the median?

Accepted Answer

It is not affected by outliers

Question 18

A histogram of graduate salaries shows a long tail to the right. Which measure of center best represents the typical salary?

Accepted Answer

Median

Question 19

Which formula correctly describes how to find the median for an odd number of ordered data values?

Accepted Answer

$$\frac{n+1}{2}th $$value$

Question 20

A data set: 5, 10, 14, 12, 12, 7, 8, 9, 11. What is the median?

Accepted Answer

$$10$$

Understanding the Median: Measures of Center in Statistics

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