Measures of Central Tendency: Master the Core Concepts for Data Analysis

Question 1

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 2

In a data set where all values are identical, which measures of central tendency will be equal?

Accepted Answer

Mean, Median, and Mode

Answer

Mean and Median

Answer

Median and Mode

Question 3

Which measure of central tendency is most suitable for a data set containing both positive and negative values?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 4

In a normal distribution, what is the relationship between the mean, median, and mode?

Accepted Answer

They are identical.

Answer

The mean is higher than the median and mode.

Answer

The median is higher than the mean and mode.

Question 5

Which of the following statements about the mean is correct?

Accepted Answer

It can take on negative values.

Answer

It is always a whole number.

Answer

It is always equal to the mode.

Question 6

In a skewed distribution, the mean will be:

Accepted Answer

Greater than the median

Answer

Less than the median

Answer

Equal to the median

Question 7

Which measure of central tendency is most appropriate for ordinal data, where the values have a meaningful order but their differences cannot be quantified?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 8

The sum of deviations from the mean of a dataset is always:

Accepted Answer

0

Answer

Positive

Answer

Negative

Question 9

The mode of a dataset is the value that:

Accepted Answer

Occurs most frequently

Answer

Is the average of all values

Answer

Is the middle value of the dataset

Question 10

Which of the following is NOT a measure of central tendency, a statistic that describes the middle or center of a distribution?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 11

Which measure of central tendency is most affected by outliers, extreme values that lie far from the other data points?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 12

Consider a dataset with a mean of 10 and a median of 12. Which distribution shape is most likely?

Accepted Answer

Right skewed

Answer

Symmetrical

Answer

Left skewed

Question 13

In a distribution with a mode of 15, which statement is necessarily true?

Accepted Answer

At least two data points equal 15.

Answer

The mean and median are necessarily equal to 15.

Answer

The mode is always higher than the mean and median.

Question 14

When the mean of a distribution exceeds the median, what can be concluded about the distribution's skewness?

Accepted Answer

Positively skewed

Answer

Negatively skewed

Answer

Symmetrical

Answer

Indeterminate

Question 15

Which measure of central tendency is unaffected by extreme values?

Accepted Answer

Median

Answer

Mode

Answer

Mean

Answer

Standard deviation

Question 16

Which of the following is a key difference between a measure of central tendency and a measure of variability?

Accepted Answer

Central tendency describes the average or middle value, while variability measures the spread of data.

Answer

Central tendency is used for nominal data, while variability is used for continuous data.

Answer

Variability is always larger than central tendency.

Answer

Central tendency can be negative, but variability cannot.

Question 17

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

Accepted Answer

Mean

Answer

Mode

Answer

Median

Answer

Range

Question 18

Which measure of central tendency is most affected by the presence of outliers in a dataset?

Accepted Answer

Mean

Answer

Mode

Answer

Standard deviation

Answer

Median

Question 19

Which measure of central tendency remains relatively unaffected by extreme values, making it the most stable measure?

Accepted Answer

Median

Answer

Mode

Answer

Mean

Answer

Standard deviation

Question 20

Given the data set {5, 7, 9, 11, 13}, what is the median value?

Accepted Answer

9

Answer

10

Answer

7

Answer

11

Question 21

When working with a skewed data distribution, which measure of central tendency provides a more representative value?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 22

When the mean of a data set is higher than the median, it indicates that the data distribution is skewed towards which side?

Accepted Answer

Right

Answer

Bimodal

Answer

Left

Answer

Symmetrical

Question 23

Which measure of central tendency allows for comparison of data from different data sets that have different units of measurement?

Accepted Answer

Standardized mean

Answer

Mode

Answer

Median

Question 24

In a company with a highly paid CEO, which measure of central tendency would best represent the typical salary of employees, excluding the CEO's salary?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 25

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

Accepted Answer

Mean

Answer

Standard deviation

Answer

Median

Answer

Mode

Question 26

Which of the following statements about the median is NOT true?

Accepted Answer

It is susceptible to extreme values.

Answer

It can be used to compare data sets with different sample sizes.

Answer

It is the middle value of a data set.

Question 27

What is the primary purpose of using measures of central tendency?

Accepted Answer

To provide a concise summary and representation of a data set using a single value.

Answer

To identify individual data points.

Answer

To predict future values.