Question 1

Which of the following best describes the population mean?

Accepted Answer

It is a parameter calculated using all individuals in a population.

Question 2

Given the data set: 5, 8, 12, 15, 20, what is the median?

Accepted Answer

12

Question 3

Which formula correctly represents the sample mean for a data set $$x_1$$, $$x_2$$, ..., x_n$$?

Accepted Answer

$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$

Question 4

A data set contains the following values: 2, 4, 6, 8, 100. Which measure of center is most affected by the outlier 100?

Accepted Answer

Mean

Question 5

What does it mean for a statistic to be resistant?

Accepted Answer

It is not substantially affected by extreme values (outliers).

Question 6

Given the test scores: 62, 68, 71, 74, 77, 82, 84, 88, 90, 94, what is the median?

Accepted Answer

79.5

Question 7

Which of the following statements is true regarding the sample mean and the population mean?

Accepted Answer

The sample mean is a statistic, while the population mean is a parameter.

Question 8

A researcher collects the following data on the number of hours students study per week: 10, 12, 14, 16, 18, 20. What is the mean number of hours studied?

Accepted Answer

15

Question 9

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

Accepted Answer

By taking the average of the two middle values after arranging the data in ascending order.

Question 10

Which of the following is NOT a step in finding the median of a data set?

Accepted Answer

Calculate the sum of all data values.

Question 11

A sample of song lengths (in seconds) is: 180, 200, 220, 240, 260. What is the mean song length?

Accepted Answer

220

Question 12

Which of the following best describes the median?

Accepted Answer

The value that lies in the middle of the data when arranged in ascending order.

Question 13

Suppose you have the following data set: 3, 7, 7, 19, 25. If the value 100 is added to the data set, which measure of center will change the most?

Accepted Answer

Mean

Question 14

Which of the following is a correct statement about the mean and median in a right-skewed distribution?

Accepted Answer

The mean is typically greater than the median.

Question 15

A data set consists of the following values: 4, 8, 15, 16, 23, 42. What is the median?

Accepted Answer

15.5

Question 16

Which of the following is an example of a resistant measure of center?

Accepted Answer

Median

Question 17

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

Accepted Answer

Mean

Question 18

A hospital administrator wants to summarize the average length of stay for all patients in the hospital last year. Which symbol should be used to represent this average?

Accepted Answer

$$\mu$$

Question 19

Which of the following is true about the sample mean $$\bar{x}$$?

Accepted Answer

It is a statistic calculated from sample data.

Question 20

A teacher records the following test scores: 55, 60, 65, 70, 95. Which measure of center is most appropriate to report if the teacher wants to minimize the effect of the unusually high score?

Accepted Answer

Median

Measures of Central Tendency: Mean and Median

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