Measures of Central Tendency: Master the Core Concepts of Statistics

Question 1

Find the median of the following set of numbers: 5, 7, 9, 11, 13.

Accepted Answer

7

Answer

6

Answer

9

Question 2

Which measure of central tendency is least affected by outliers?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 3

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

Accepted Answer

6

Answer

4

Answer

8

Question 4

Which measure of central tendency is most susceptible to extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 5

Which measure of central tendency would be most suitable for a dataset of stock prices, which may include outliers?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 6

Which measure of central tendency is most appropriate for comparing two data sets with different numbers of observations?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 7

A data set has a mean of 10 and a median of 12. What can you infer about the distribution of the data?

Accepted Answer

The data is skewed to the right.

Answer

The data is skewed to the left.

Answer

The data is symmetric.

Answer

The data is bimodal.

Question 8

Which measure of central tendency is most appropriate to use when the data set contains a significant number of zero values?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 9

The average value of a dataset is known as the:

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 10

Which measure of central tendency represents the middle value of a dataset arranged in ascending order?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Standard deviation

Question 11

Which measure of central tendency is most susceptible to extreme values in a dataset?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Quartiles

Question 12

For a symmetrical dataset, what is the relationship between the mean and the median?

Accepted Answer

Mean = Median

Answer

Mean > Median

Answer

Mean < Median

Answer

Mean and Median are unrelated

Question 13

Which measure of central tendency is most appropriate for a dataset with a bimodal distribution?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Standard deviation

Question 14

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 15

Which measure of central tendency is the least susceptible to the influence of extreme values (outliers)?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 16

Which type of distribution has two distinct peaks?

Accepted Answer

Bimodal distribution

Answer

Unimodal distribution

Answer

Trimodal distribution

Question 17

In a data set, the mode represents the value that:

Accepted Answer

Occurs most frequently

Answer

Is the smallest value

Answer

Is the largest value

Question 18

Which formula is used to calculate the mean of a set of numbers?

Accepted Answer

Sum of all numbers divided by the number of numbers

Answer

(Median + Mode) divided by 2

Answer

(Largest number + Smallest number) divided by 2

Question 19

In a survey of employee salaries, the following data was collected: 20,000, 30,000, 40,000, 40,000, 50,000, 60,000. What is the mode of the data set?

Accepted Answer

40,000

Answer

20,000

Answer

30,000

Answer

50,000

Question 20

Which measure of central tendency remains unaffected by extreme values in a dataset?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 21

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

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 22

Identify the type of distribution represented by a dataset with two modes:

Accepted Answer

Bimodal

Answer

Symmetrical

Answer

Uniform

Answer

Skewed

Question 23

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

Accepted Answer

Variance

Answer

Mean

Answer

Median

Answer

Mode

Question 24

Which measure of central tendency is commonly used to represent the 'average' value in a dataset?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 25

Which measure of central tendency is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 26

A data set has the following values: 10, 12, 14, 16, 18. What is the mean of the data set?

Accepted Answer

14

Answer

10

Answer

16

Answer

18

Question 27

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 28

A data set contains the following values: 5, 5, 7, 9, 9, 9. What is the mode of the data set?

Accepted Answer

9

Answer

5

Answer

7

Answer

There is no mode

Question 29

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

Accepted Answer

Variance

Answer

Mean

Answer

Median

Answer

Mode

Question 30

The mean of a dataset is the sum of all the values divided by the:

Accepted Answer

Number of values

Answer

Median of the values

Answer

Mode of the values

Answer

Range of the values

Question 31

Which measure of central tendency is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 32

The mode is the:

Accepted Answer

Value that occurs most frequently

Answer

Middle value of a dataset when arranged in ascending or descending order.

Answer

Sum of all values

Answer

Average of all values

Question 33

Which of the following datasets has a median of 10?

Accepted Answer

{10, 10, 10}

Answer

{5, 10, 15}

Answer

{10, 12, 20}

Question 34

The mean, median, and mode of a dataset are all equal. This dataset is:

Accepted Answer

Symmetrical

Answer

Skewed

Answer

Bimodal

Question 35

Which of the following is a potential problem with using mode as a measure of central tendency?

Accepted Answer

Can be misleading if there are multiple modes

Answer

Can be sensitive to outliers

Answer

Can be difficult to calculate

Answer

Can be negative

Question 36

The mean of a dataset is calculated by:

Accepted Answer

Adding all values and dividing by the number of values

Answer

Finding the middle value when arranged in ascending or descending order

Answer

Finding the most frequently occurring value

Answer

Subtracting the smallest value from the largest value

Question 37

In a dataset, the sum of all deviations from the mean is always:

Accepted Answer

0

Answer

1

Answer

Equal to the mean

Answer

Equal to the median

Question 38

A dataset has the values: 2, 4, 6, 8, 10, 10. What is the mode of this dataset?

Accepted Answer

10

Answer

2

Answer

4

Answer

6

Question 39

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 40

The median of a dataset is the value that:

Accepted Answer

Divides the data into two equal halves

Answer

Appears most frequently

Answer

Is the sum of all values

Answer

Is the average of the highest and lowest values

Question 41

In a skewed distribution, the mean, median, and mode are typically:

Accepted Answer

Different

Answer

Equal

Answer

Approximately equal

Question 42

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 43

The mean of a data set is 12. If a value of 15 is added to the set, what happens to the mean?

Accepted Answer

It will increase.

Answer

It will decrease.

Answer

It will remain the same.

Answer

Cannot be determined from the given information.

Question 44

Which measure of central tendency is most sensitive to outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 45

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

Accepted Answer

10

Answer

2

Answer

4

Answer

6

Question 46

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 47

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

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 48

Which measure of central tendency is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 49

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

Accepted Answer

Median

Answer

Mean

Answer

Mode