Measures of Central Tendency: Mean, Median, Mode - Practice Quiz

Question 1

Which operation does NOT affect the median of a dataset?

Accepted Answer

Reordering the data points

Answer

Adding a new data point

Answer

Removing an extreme data point

Question 2

A distribution has a mean of 10 and a mode of 12. What is a possible conclusion?

Accepted Answer

The distribution is skewed to the right.

Answer

The distribution is skewed to the left.

Answer

The distribution is symmetrical.

Question 3

Which of these is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 4

Find the mean of the following dataset: 5, 7, 9, 11, 13

Accepted Answer

9

Answer

7

Answer

11

Answer

13

Question 5

Which of the following represents the middle value of a dataset when arranged in ascending order?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 6

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

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 7

What is a potential drawback of using the mean as a measure of central tendency?

Accepted Answer

It can be influenced by extreme values.

Answer

It is simple to calculate.

Answer

It accurately represents the typical value in a dataset.

Question 8

What is the correct definition of the mode of a dataset?

Accepted Answer

The value that occurs most often

Answer

The sum of all values divided by the number of values

Answer

The middle value when arranged in order

Question 9

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 10

Which measure of central tendency is heavily influenced by the presence of extreme values (outliers)?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 11

Which of the following is NOT a step in calculating the mean?

Accepted Answer

Identify the value that occurs most frequently.

Answer

Sum all the values in the dataset.

Answer

Divide the sum by the count of values in the dataset.

Question 12

For a dataset with an even number of values, the median is calculated as:

Accepted Answer

The mean of the two middle values.

Answer

The value that appears most frequently.

Answer

The sum of all the values divided by the count of values.

Question 13

Which measure of central tendency is most suitable for ordinal data?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 14

Which of the following is a potential limitation of using the mean as a measure of central tendency?

Accepted Answer

It can be heavily influenced by outliers.

Answer

It is not always a whole number.

Answer

It can be challenging to calculate for large datasets.

Question 15

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 16

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 17

Calculate the mean of the following data set: 5, 7, 10, 12, 15

Accepted Answer

8.5

Answer

8

Answer

9

Question 18

Which measure of central tendency would be most appropriate for describing the average age of students in a class?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 19

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

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 20

Calculate the mean, median, and mode of the following data set: {10, 12, 14, 16, 18, 20}

Accepted Answer

{Mean: 15, Median: 15, Mode: None}

Answer

{Mean: 14, Median: 15, Mode: None}

Answer

{Mean: 15, Median: 14, Mode: None}

Question 21

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 22

In the dataset {2, 4, 6, 8, 10}, what is the median?

Accepted Answer

6

Answer

4

Answer

8

Question 23

Which of the following is not a characteristic of mode?

Accepted Answer

It represents the middle value of the dataset.

Answer

It can occur multiple times in a dataset.

Answer

It can be any value in the dataset.

Question 24

In a distribution, the mean is 10 and the median is 12. Which statement about the distribution is true?

Accepted Answer

It is positively skewed.

Answer

It is negatively skewed.

Answer

It is symmetric.

Question 25

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

Accepted Answer

Mean

Answer

Median

Question 26

Which of the following is the correct formula for calculating the mean of a dataset {x1, x2, x3, ..., xn}?

Accepted Answer

Mean = Σx / n

Answer

Mean = Σx² + n / (n-1)

Answer

Mean = (x1 + x2 + x3 + ... + xn)²

Question 27

Given a data set with a median of 10, which value could NOT be a part of the data set?

Accepted Answer

18

Answer

8

Answer

10

Answer

12

Question 28

When the mean and median of a data set are both 10, what can be inferred about the distribution?

Accepted Answer

Symmetric

Answer

Skewed to the left

Answer

Skewed to the right

Question 29

Calculate the median of the following dataset: 5, 7, 3, 9, 11

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 30

Which attribute is not characteristic of a normal distribution?

Accepted Answer

Equal mean, median, and mode

Answer

Bell-shaped curve

Answer

Symmetrical

Question 31

Identify a potential limitation of using mode to represent a dataset.

Accepted Answer

Can be misleading if there are multiple modes

Answer

Can be affected by outliers

Answer

Can be difficult to calculate

Question 32

Which measure of central tendency is a reliable indicator of the average value in a skewed distribution?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 33

The mode of a dataset is 5. What does this indicate?

Accepted Answer

The value 5 occurs most frequently in the dataset

Answer

The value 5 is the average of the dataset

Answer

The value 5 is the minimum value in the dataset

Answer

The value 5 is the maximum value in the dataset

Question 34

For a skewed dataset, which measure of central tendency is most appropriate to represent the 'typical' value?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 35

Given a distribution with a mean of 50 and a median of 60, what can be concluded about the data distribution?

Accepted Answer

The distribution is skewed towards the right

Answer

The distribution is skewed towards the left

Answer

The distribution is symmetrical

Answer

No conclusion can be drawn from the given information

Question 36

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

Accepted Answer

Half of the data points are greater than 15 and half of the data points are less than 15.

Answer

The data set has an even number of data points.

Answer

The data set has an odd number of data points.

Answer

The mean of the data set is 15.

Question 37

Which measure of data does not represent the "typical" value?

Accepted Answer

Range

Answer

Mode

Answer

Mean

Answer

Median

Question 38

Which measure of central tendency remains unaffected by extreme values?

Accepted Answer

Median

Answer

Range

Answer

Mean

Answer

Mode

Question 39

Which measure of central tendency is least impacted by outliers?

Accepted Answer

Median

Answer

Mode

Answer

Mean

Answer

Standard deviation

Question 40

A company needs to analyze employee salaries ranging from £15,000 to £100,000. Which measure of central tendency would be most appropriate?

Accepted Answer

Median

Answer

Mode

Answer

Mean

Answer

Standard deviation

Question 41

The ages of five friends are 16, 17, 18, 19, and 20. What is the median age?

Accepted Answer

18

Answer

17

Answer

19

Question 42

A group of students took a test. The scores are: 75, 80, 80, 85, 90, 90, 90, 95. What is the mode of these scores?

Accepted Answer

90

Answer

85

Answer

80

Question 43

The heights of a group of students are recorded in centimeters. The data is: 160, 165, 170, 175, 180, 180, 185, 190. Which measure of central tendency would be most affected by an outlier (an extreme high or low value)?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 44

A set of data has a mean of 15 and a median of 12. Which of the following statements is true about the data distribution?

Accepted Answer

The data is skewed to the right.

Answer

The data is symmetrical.

Answer

The mode of the data is 12.

Answer

The data is skewed to the left.

Question 45

The number of cars passing a certain point on a road is recorded every hour. The data shows that the mode is 15 cars per hour. What can be concluded about the data?

Accepted Answer

15 cars per hour is the most frequent occurrence.

Answer

The average number of cars passing is 15.

Answer

The data is skewed to the right.

Answer

Half the hours have less than 15 cars passing.

Question 46

A survey was conducted to determine the favorite colors of 50 students. The results are as follows: Red: 12, Blue: 18, Green: 10, Yellow: 10. Which measure of central tendency would be most appropriate to represent the most popular color?

Accepted Answer

Mode

Answer

Median

Answer

Range

Answer

Mean

Question 47

The following data represents the number of hours students spent studying for a test: 2, 3, 4, 5, 5, 6, 7, 8. What is the range of this dataset?

Accepted Answer

6

Answer

8

Answer

3

Answer

4