Question 1

Which of the following best describes the mean of a sample?

Accepted Answer

The sum of all data values divided by the number of values.

Question 2

Given the sample data: 4, 7, 7, 9, 10, what is the mean?

Accepted Answer

$$\frac{4+7+7+9+10}{5} = \frac{37}{5} = 7.4$$

Question 3

Which measure of center is most resistant to extreme values (outliers)?

Accepted Answer

Median

Question 4

A sample consists of the following values: 2, 3, 3, 4, 5, 6, 7. What is the median?

Accepted Answer

4

Question 5

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

Accepted Answer

By averaging the two middle values after sorting the data.

Question 6

Given the sample data: 1, 2, 2, 3, 4, 4, 4, 5, what is the mode?

Accepted Answer

4

Question 7

Which formula correctly represents the sample mean for a variable $$x$$ with $$n$$ data points?

Accepted Answer

$$\bar{x} = \frac{\sum x}{n}$$

Question 8

A sample of household incomes (in thousands): 30, 32, 35, 40, 100. Which measure of center is most affected by the $$100$$ value?

Accepted Answer

Mean

Question 9

If the original data values have no decimal places, how many decimal places should the final answer for the mean have according to the roundoff rules?

Accepted Answer

One more decimal place than the original data

Question 10

Which of the following statements about the mode is TRUE?

Accepted Answer

The mode is the value that occurs most frequently.

Question 11

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

Accepted Answer

$$\frac{7+8}{2} = 7.5$$

Question 12

Which scenario would most likely require the use of the median instead of the mean?

Accepted Answer

A data set with a significant outlier that skews the mean.

Question 13

If a data set has more than one value occurring with the highest frequency, what can be said about the mode?

Accepted Answer

There are multiple modes.

Question 14

Given the sample data: 2, 4, 6, 8, 10, what is the mean?

Accepted Answer

$$\frac{2+4+6+8+10}{5} = \frac{30}{5} = 6$$

Question 15

A researcher collects the following data on the number of books read by students: 1, 2, 2, 3, 4, 4, 5, 6. What is the mode?

Accepted Answer

4

Question 16

Which of the following is NOT a measure of center?

Accepted Answer

Sample size

Question 17

A sample has the values: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. What is the median?

Accepted Answer

$$\frac{4+5}{2} = 4.5$$

Question 18

Which notation is used to represent the sum of all values of a variable $$x$$?

Accepted Answer

$$\sum x$$

Question 19

In a sample of 8 values: 2, 5, 7, 7, 8, 8, 8, 12, what is the mean rounded to one decimal place?

Accepted Answer

$$\frac{2+5+7+7+8+8+8+12}{8} = \frac{57}{8} = 7.1$$

Question 20

A data set has values: 1, 2, 3, 4, 5. If the value 100 is added, which measure of center will change the most?

Accepted Answer

Mean

Measures of Center in Statistics: Mean, Median, and Mode

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