Measures of Central Tendency: Master Data Analysis with Mean, Median, Mode, and Range

Question 1

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 2

Find the mode of the following data set: 5, 7, 9, 9, 11, 13

Accepted Answer

9

Answer

5

Answer

11

Answer

13

Question 3

Find the average of these numbers: 5, 7, 9, 11, 13

Accepted Answer

9

Answer

6

Answer

11

Question 4

Calculate the average of these numbers: 5, 7, 9, 11, 13, 15, 17, 19.

Accepted Answer

14

Answer

7

Answer

11

Answer

17

Question 5

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

Accepted Answer

Standard deviation

Answer

Average

Answer

Median

Answer

Percentile

Question 6

The range of a dataset is the difference between

Accepted Answer

The highest and lowest values

Answer

The mean and median

Answer

The mode and median

Answer

The mean and standard deviation

Question 7

In a dataset, the mode is the value that:

Accepted Answer

Appears most frequently

Answer

Is the sum of all values divided by the number of values

Answer

Is the difference between the highest and lowest values

Answer

Is not affected by the presence of outliers

Question 8

Which of the following visual representations is commonly used to display measures of central tendency?

Accepted Answer

Box plot

Answer

Scatter plot

Answer

Pie chart

Answer

Venn diagram

Question 9

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

Accepted Answer

Standard deviation

Answer

Median

Answer

Mode

Answer

Mean

Question 10

The range of the data set {15, 18, 20, 23, 26} is:

Accepted Answer

8

Answer

5

Answer

11

Answer

14

Question 11

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 12

Which of the following data sets has two modes?

Accepted Answer

{1, 2, 2, 3, 3, 4}

Answer

{2, 4, 6, 8, 10}

Answer

{5, 7, 9, 11, 13}

Answer

{0, 1, 1, 1, 1, 2}

Question 13

In a dataset where all values are different, which measure of central tendency is always greater than or equal to the median?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 14

Identify the mode of the following dataset: 5, 7, 5, 9, 5, 11.

Accepted Answer

5

Answer

7

Answer

9

Answer

11

Question 15

In which calculation do we divide the sum of all data points by the number of data points?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 16

What is the median of this data set: 5, 7, 9, 11, 13?

Accepted Answer

9

Answer

6

Answer

11

Answer

13

Question 17

Which of these data sets has the smallest range?

Accepted Answer

2, 4, 6, 8, 10

Answer

3, 6, 9, 12, 15

Answer

4, 8, 12, 16, 20

Answer

5, 10, 15, 20, 25

Question 18

Calculate the mode of the data set: 12, 14, 12, 16, 18, 12

Accepted Answer

12

Answer

14

Answer

16

Answer

18

Question 19

Which strategy exhibits more consistent sales performance?

Accepted Answer

Strategy B: Average sales: $95,000, Variation: $10,000

Answer

Strategy A: Average sales: $100,000, Variation: $20,000

Question 20

Which measure of central tendency tells you the value that occurs most often in a dataset?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 21

The mean of a set of numbers is 10. If a number with a value of 12 is added to the set, what will happen to the mean?

Accepted Answer

It will increase

Answer

It will decrease

Answer

It will stay the same

Answer

It cannot be determined

Question 22

Which measure of central tendency is not easily affected by extreme values in a dataset?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 23

Which measure of central tendency is calculated by adding up all the values and dividing by the number of values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 24

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

Accepted Answer

Standard Deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 25

What is the term for the average of a set of numbers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 26

For a set of numbers arranged in order from least to greatest, what value represents the middle number?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 27

Which measure of central tendency is significantly influenced by extreme values in a data set?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 28

In a data set with values 1, 3, 5, 7, 9, 11, what is the difference between the least and greatest values?

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Question 29

Which measure of central tendency is most appropriate when dealing with data that has a distribution that is skewed?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 30

In a data set with values 2, 4, 4, 6, 8, 8, 10, what is the most frequently occurring value?

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 31

Which measure of central tendency is most representative of the typical value in a data set?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 32

What term describes a potential disadvantage of using the mean as a measure of central tendency?

Accepted Answer

It is easily affected by outliers.

Answer

It is complex to calculate.

Answer

It does not represent the exact middle value.

Answer

It ignores the spread of the data.

Question 33

In a data set with values 1, 2, 2, 3, 4, 5, what is the mean?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 34

Which measure of central tendency is the middle value of a data set that has been arranged in ascending order?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 35

Which measure of central tendency is heavily influenced by extreme values, or outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 36

Which measure of central tendency is defined as the sum of all values divided by the number of values in a data set?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 37

Find the median, which is the middle value, of the data set: {2, 4, 6, 8, 10}

Accepted Answer

6

Answer

4

Answer

7

Answer

8

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

Which term refers to the total of all values in a data set?

Accepted Answer

Sum

Answer

Mean

Answer

Median

Answer

Mode

Question 40

A store sells shirts in various sizes. The most common size sold is medium. Which measure of central tendency best represents this information?

Accepted Answer

Mode

Answer

Range

Answer

Median

Answer

Mean

Question 41

A company tracks employee salaries, and the mean salary is $50,000. If a new employee is hired with a salary of $60,000, what will happen to the mean salary?

Accepted Answer

Increase

Answer

Cannot be determined

Answer

No change

Answer

Decrease

Question 42

Identify the median of the data set: 5, 7, 9, 11, 13, 15.

Accepted Answer

11

Answer

12

Answer

14

Answer

9

Question 43

Find the mode of the following numbers: 2, 4, 6, 8, 8, 10, 10, 12.

Accepted Answer

8, 10

Answer

4, 6

Answer

2, 12

Question 44

Which measure of central tendency is most significantly impacted by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Range

Answer

Mode

Question 45

Calculate the mean, median, mode, and range of the data set: 2, 4, 6, 8, 10, 12.

Accepted Answer

Mean: 7, Median: 8, Mode: None, Range: 10

Answer

Mean: 9, Median: 10, Mode: 2, Range: 14

Answer

Mean: 8, Median: 9, Mode: 8, Range: 8

Answer

Mean: 6, Median: 7, Mode: 8, Range: 12

Question 46

Which statistical measure is used to describe the spread of a data set?

Accepted Answer

Range

Answer

Median

Answer

Mean

Answer

Mode

Question 47

Which measure of central tendency is most appropriate for skewed data?

Accepted Answer

Median

Answer

Mode

Answer

Mean

Answer

Range