Measures of Central Tendency: Mean, Median, Mode Quiz

Question 1

Which of the following methods is not used to determine the median?

Accepted Answer

Summing all the values and dividing by the number of values

Answer

Arranging the data in ascending order and selecting the middle value

Answer

Identifying the value that appears most frequently

Question 2

Which formula is used to calculate the mean?

Accepted Answer

Mean = Sum of all values / Number of values

Answer

Mean = Median - Mode

Answer

Mean = Mode + Median

Answer

Mean = Sum of all values - Number of values

Question 3

The mean of a data set is the sum of all the values in the set divided by the number of values. True or False?

Accepted Answer

True

Answer

False

Question 4

The mode of a data set is the value that occurs most frequently. True or False?

Accepted Answer

True

Answer

False

Question 5

The following data set is {2, 4, 6, 8, 10}. What is the range of the data set?

Accepted Answer

8

Answer

2

Answer

4

Answer

6

Question 6

Which of the following is NOT an advantage of using measures of central tendency?

Accepted Answer

Showing every individual value in the data set

Answer

Conveying the overall trend of a data set

Answer

Comparing different data sets

Question 7

Which data set has the highest median?

Accepted Answer

{3, 5, 7, 9, 11}

Answer

{1, 2, 3, 4, 5}

Answer

{2, 4, 6, 8, 10}

Question 8

Identify the data set with the highest mode:

Accepted Answer

6, 6, 6, 8, 10

Answer

5, 5, 8, 10, 12

Answer

5, 7, 9, 11, 12

Answer

7, 8, 9, 10, 11

Question 9

Which of the following is NOT a measure of the spread or variability within a data set?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 10

Which measure of central tendency is most appropriate for data sets that are not normally distributed?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 11

The sum of all values in a dataset divided by the number of values is known as the:

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 12

Which measure of central tendency is unaffected by extreme values (outliers)?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Standard deviation

Question 13

Find the median of the following dataset: 2, 4, 6, 8, 10, 12, 14

Accepted Answer

8

Answer

7

Answer

9

Answer

10

Question 14

The most frequently occurring value in a dataset is known as the:

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 15

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

Accepted Answer

5

Answer

3

Answer

7

Answer

9

Question 16

Which of the following measures represents the spread or variability of a dataset?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 17

Which of the following datasets has the greatest variability?

Accepted Answer

{1, 3, 5, 7, 9}

Answer

{1, 2, 3, 4, 5}

Answer

{2, 4, 6, 8, 10}

Answer

{5, 5, 5, 5, 5}

Question 18

What is the measure of central tendency that is calculated by adding up all the values in a dataset and dividing the sum by the number of values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 19

A survey found that the average height of a group of students was 165 cm. Which measure of central tendency does this represent?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 20

Which measure of central tendency is most greatly influenced by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 21

In which real-world scenario are measures of central tendency commonly used?

Accepted Answer

Analyzing exam results

Answer

Predicting fashion trends

Answer

Creating workout plans

Question 22

Which of these is NOT a measure of central tendency?

Accepted Answer

Standard Deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 23

Which of these is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 24

Which measure of central tendency is least affected by outliers?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 25

A data set has the values {2, 4, 6, 6, 8, 10}. What is the mode of this data set?

Accepted Answer

6

Answer

2

Answer

8

Question 26

The median of a data set is 15. Which of the following statements about the data set is true?

Accepted Answer

Half of the values are less than 15.

Answer

Half of the values are greater than 15.

Answer

The mean of the data set is 15.

Question 27

Which of the following is a measure of central tendency that is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 28

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 29

In a data set, which value appears most frequently?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Question 30

Calculate the mean of the following numbers: 10, 15, 20, 25, 30.

Accepted Answer

20

Answer

15

Answer

25

Answer

30

Question 31

Find the range of the following data set: 5, 7, 9, 11, 13, 15, 17

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Question 32

Which measure of central tendency represents the total of all values in a dataset divided by the number of values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 33

The median age of a group of students is 16. This means that:

Accepted Answer

Half of the students are younger than 16 and half are older.

Answer

Half of the students are exactly 16 years old.

Answer

The youngest student in the group is 16 years old.

Answer

The oldest student in the group is 16 years old.

Question 34

Which of the following is NOT a measure of central tendency, which describe the 'typical' value of a data set?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 35

Which measure of central tendency is most affected by values that are much larger or smaller than the rest of the data set, also known as outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 36

A company surveys its employees and finds that the average salary is £25,000. However, the median salary is only £22,000. What could be a possible explanation for this difference?

Accepted Answer

The distribution of salaries is skewed towards higher salaries, meaning there are more employees earning high salaries than low salaries.

Answer

The distribution of salaries is uniform, meaning all employees earn the same salary.

Answer

The mean salary is calculated incorrectly.

Question 37

Which of the following measures of central tendency is most appropriate for a data set that contains a large number of outliers?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 38

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 39

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 40

When analyzing data that is not evenly distributed, which measure of central tendency provides the most representative value?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 41

In a dataset with values: {10, 12, 14, 16, 18, 20}, what is the difference between the greatest and least values?

Accepted Answer

6

Answer

10

Answer

14

Answer

20

Question 42

Which of the following is NOT a measure of central tendency used to describe the typical value of a data set?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 43

Which measure of central tendency is most affected by extreme values (outliers) in a data set?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 44

A data set has a mean of 10 and a median of 12. Which of the following statements about the shape of the data distribution is most likely true?

Accepted Answer

The data is skewed to the right.

Answer

The data is symmetric.

Answer

The data is skewed to the left.

Answer

The data set has a large range.

Question 45

Which of the following data sets exhibits the greatest spread (range)?

Accepted Answer

0, 10, 20, 30, 40

Answer

1, 2, 3, 4, 5

Answer

5, 7, 9, 11, 13

Answer

1, 1, 1, 1, 1

Question 46

In a data set, which number occurs most frequently?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 47

Which measure of central tendency represents the middle value when the data set is arranged in ascending order?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 48

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 49

If the mean of two numbers is 15 and one of the numbers is 10, what is the other number?

Accepted Answer

5

Answer

10

Answer

15

Answer

20

Question 50

Which measure of central tendency is most suitable for a data set with a significant number of outliers?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 51

Which measure of central tendency is least affected by extreme values?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 52

A data set consists of the following numbers: 2, 4, 6, 8, 10. What is the mean of this data set?

Accepted Answer

6

Answer

5

Answer

7

Question 53

Which of the following statements about the median is correct?

Accepted Answer

It is the middle value of the data set when arranged in ascending order.

Answer

It is the sum of all the data values divided by the number of values.

Answer

It is the most frequently occurring value in the data set.

Question 54

Which of the following measures of central tendency is most representative of a typical value in a data set with a normal distribution?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 55

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

Accepted Answer

Mean: 8, Median: 8, Mode: 8

Answer

Mean: 8, Median: 10, Mode: 8

Answer

Mean: 10, Median: 8, Mode: 8

Answer

Mean: 8, Median: 10, Mode: 12

Question 56

When comparing two data sets with different distributions, which measure of central tendency is most appropriate to use?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 57

Find the median of the following data set: 11, 13, 15, 17, 19

Accepted Answer

15

Answer

13

Answer

17

Answer

19

Question 58

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

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Question 59

When a data set has extreme values, which measure of central tendency is most appropriate?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 60

Which method correctly defines the mode of a data set?

Accepted Answer

Identify the value that occurs most frequently.

Answer

Sum all values and divide by the number of values.

Answer

Determine the middle value.

Question 61

When dealing with a right-skewed data set, which measure of central tendency is most suitable?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 62

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Question 63

Using the mean as a measure of central tendency has a limitation. Which of the following correctly describes this limitation?

Accepted Answer

Mean can be influenced by extreme values.

Answer

Mean does not account for the frequency of values.

Answer

Mean can only be applied to qualitative data.

Question 64

What is the mean of the following data set: 5, 7, 9, 11, 13?

Accepted Answer

9

Answer

7

Answer

11