Measures of Central Tendency: Mean, Median, Mode, and Range

Question 1

Which measure of central tendency is most easily affected by extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 2

Which measure of central tendency is calculated by adding all the values in a data set and dividing the sum by the number of values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 3

The range of a data set is the difference between the largest and smallest values. What is the range of the following data set: 10, 15, 20, 25, 30?

Accepted Answer

5

Answer

10

Answer

15

Answer

20

Question 4

A class has the following test scores: 85, 90, 95, 100, 80. What is the mean test score?

Accepted Answer

90

Answer

85

Answer

95

Answer

100

Question 5

Which of the following situations would be most appropriately represented by the mean?

Accepted Answer

The average weight of students in a class

Answer

The number of books a student reads in a year

Answer

The most popular subject among students in a school

Question 6

In a set of numbers, the mean is 10, the median is 12, and the mode is 14. Which measure of central tendency best represents the typical value in the set?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 7

In a distribution, the mean is higher than the median. Which of the following could be a possible explanation for this?

Accepted Answer

There are outliers on the higher end of the distribution.

Answer

The median is skewed towards the lower end of the distribution.

Question 8

Which measure of central tendency is impacted most significantly by extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 9

In a class survey on the number of books read, the mode is 5. What can be deduced from this information?

Accepted Answer

5 is the most frequently occurring number of books read

Answer

The majority of students read 5 books

Answer

5 is the average number of books read by students

Question 10

Which data set has the smallest range?

Accepted Answer

0, 2, 4, 6, 8

Answer

2, 4, 6, 8, 10

Answer

1, 3, 5, 7, 9

Question 11

Which measure of central tendency is most suitable for a company seeking to determine the average sales of its products?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 12

Which measure of central tendency is highly influenced by extreme values, making it more vulnerable to outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 13

Which of the following is NOT considered a measure of central tendency?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 14

Identify the mode of the following dataset: {3, 5, 7, 7, 9, 11}

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 15

Which dataset exhibits the largest range?

Accepted Answer

{12, 24, 36, 48, 60}

Answer

{1, 2, 3, 4, 5}

Answer

{5, 10, 15, 20, 25}

Answer

{7, 14, 21, 28, 35}

Question 16

Which measure of central tendency is obtained by summing all the values in a dataset and dividing the result by the number of values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 17

Identify the mode of the following dataset: {10, 12, 14, 16, 18, 18, 20}

Accepted Answer

18

Answer

10

Answer

14

Answer

20

Question 18

Which measure of central tendency is least affected by extreme values in a data set?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 19

Which of the following is the middle value of a data set when arranged in order from least to greatest?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 20

In a data set, the value that appears most often is called:

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 21

Which of the following is NOT a measure of variation?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 22

Which measure of central tendency is heavily impacted by extreme values in a dataset?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 23

Which of the following is NOT a measure of central tendency typically used in statistics?

Accepted Answer

Outlier

Answer

Mean

Answer

Median

Answer

Mode

Question 24

Which measure of central tendency would be most affected by extreme values or outliers in a data set?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 25

What is the mode of the following numerical data set: {2, 3, 4, 4, 5, 6, 7}

Accepted Answer

4

Answer

5

Answer

6

Answer

7

Question 26

Which measure of central tendency is most appropriate for data that is ranked or has a natural order, but not numerical values, such as survey responses on a Likert scale?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 27

A clothing store wants to determine the most commonly sold size of T-shirts. Which measure of central tendency would be most useful for the store?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Question 28

Which measure of central tendency is calculated by dividing the sum of all values in a dataset by the total number of values?

Accepted Answer

Mean

Answer

Median

Answer

Range

Answer

Mode

Question 29

In a dataset, the median is 10. This means that:

Accepted Answer

Half of the data values are greater than 10, and the other half are less than 10.

Answer

The average of all data values is 10.

Answer

Most data values are clustered around 10.

Question 30

Which measure of central tendency represents the value that appears most frequently in a dataset?

Accepted Answer

Mode

Answer

Median

Answer

Mean

Answer

Range

Question 31

The range of a dataset is the difference between:

Accepted Answer

The maximum and minimum values of the dataset.

Answer

The mode and the mean

Answer

The median and the mean

Answer

The mean and the minimum value of the dataset

Question 32

Which measure of central tendency is most easily affected by outliers?

Accepted Answer

Mean

Answer

Range

Answer

Median

Answer

Mode

Question 33

Which measure of central tendency best describes the typical, or middle, value in a data set?

Accepted Answer

Median

Answer

Mode

Answer

Range

Answer

Mean

Question 34

Identify the mode of the data set: 2, 4, 4, 6, 8, 8, 10

Accepted Answer

4, 8

Answer

8

Answer

4

Question 35

If the mean of a data set is 10 and the median is 9, what can be inferred about the data distribution?

Accepted Answer

The data set likely has a positive skew.

Answer

The data set has a negative skew.

Answer

The data set has no outliers.

Answer

The data set is perfectly symmetrical.

Question 36

Which measure of central tendency is most suitable when there are missing values in a data set?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 37

Identify the mode of the following frequency table:

Value | Frequency
------- | --------
5 | 2
7 | 3
9 | 5
11 | 4

Accepted Answer

9

Answer

5

Answer

11

Answer

7

Question 38

Which of the following is not a measure of central tendency?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 39

Identify the mode of the following set of numbers: 2, 4, 4, 6, 6, 8

Accepted Answer

4, 6

Answer

4

Answer

8

Answer

2

Question 40

Which measure of central tendency remains least affected by the presence of outliers?

Accepted Answer

Median

Answer

Mean

Answer

Range

Answer

Mode

Question 41

Calculate the range of the following set of numbers: 2, 4, 6, 8, 10

Accepted Answer

8

Answer

6

Answer

12

Answer

10

Question 42

When dealing with skewed data, which measure of central tendency is most appropriate?

Accepted Answer

Median

Answer

Mean

Answer

Range

Answer

Mode

Question 43

What is the definition of mean?

Accepted Answer

The sum of all values divided by the number of values in a dataset.

Answer

The difference between the highest and lowest values in a dataset.

Answer

The middle value of a dataset when arranged in ascending order.

Answer

The most occurring value in a dataset.

Question 44

Find the median of the following dataset: 10, 12, 15, 15, 18.

Accepted Answer

15

Answer

13

Answer

16

Answer

12

Question 45

Which measure of central tendency represents the value that appears most frequently in a dataset?

Accepted Answer

Mode

Answer

Median

Answer

Mean

Question 46

Which step is NOT involved in calculating the mean?

Accepted Answer

Finding the range

Answer

Arranging the values in order

Answer

Dividing the sum by the number of values

Answer

Adding all the values

Question 47

A company has two departments with the following average salaries: Department A: $50,000, Department B: $60,000. Which measure of central tendency would be most suitable for comparing these averages?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 48

Identify the mode of the following dataset: 1, 3, 5, 5, 7, 7, 9.

Accepted Answer

5, 7

Answer

1

Answer

3

Answer

9

Question 49

Which measure of central tendency can be used to compare the middle values of two datasets with different numbers of values?

Accepted Answer

Median

Answer

Range

Answer

Mode

Answer

Mean