Descriptive Statistics Quizzes: Master Central Tendency, Dispersion, and Skewness

Question 1

In a data set, which of the following is the most commonly used measure of central tendency?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 2

A data set has a mean of 10 and a standard deviation of 2. What is the variance?

Accepted Answer

4

Answer

2

Answer

12

Answer

20

Question 3

Which type of skewness occurs when the tail of a distribution extends to the right?

Accepted Answer

Positive skewness

Answer

Negative skewness

Answer

Symmetrical skewness

Answer

Bimodal skewness

Question 4

What is the interquartile range of a data set with a first quartile of 20 and a third quartile of 60?

Accepted Answer

40

Answer

20

Answer

60

Answer

80

Question 5

Which of the following is NOT a characteristic of a normal distribution?

Accepted Answer

Tails of the distribution extend to infinity

Answer

Bell-shaped curve

Answer

Mean, median, and mode are equal

Answer

Symmetrical around the mean

Question 6

What is the mode of a data set with the values 5, 7, 7, 9, 11, and 7?

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 7

Which of the following is a graphical representation of a data set that shows the distribution of values along a number line?

Accepted Answer

Histogram

Answer

Scatter plot

Answer

Bar chart

Answer

Pie chart

Question 8

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 9

The range of a dataset is calculated by:

Accepted Answer

Subtracting the minimum value from the maximum value

Answer

Adding the maximum and minimum values

Answer

Dividing the maximum value by the minimum value

Answer

Multiplying the maximum value by the minimum value

Question 10

Which of the following methods can be used to calculate the mean of a dataset?

Accepted Answer

Adding all values and dividing by the number of values

Answer

Finding the median and adding it to the mode

Answer

Subtracting the standard deviation from the median

Answer

Multiplying the range by the number of values

Question 11

The standard deviation is a measure of:

Accepted Answer

Dispersion

Answer

Central tendency

Answer

Skewness

Answer

Kurtosis

Question 12

The mode of a dataset is the:

Accepted Answer

Value that occurs most frequently

Answer

Value that is the sum of all values

Answer

Value that is the difference between the highest and lowest values

Answer

Value that is the average of all values

Question 13

A normal distribution is one where the data is:

Accepted Answer

Symmetrically distributed around the mean

Answer

Concentrated towards higher values

Answer

Concentrated towards lower values

Answer

Bimodal

Question 14

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 15

A data set consists of the following values: 1, 3, 5, 7, 9, 11, 13. What is the median of this data set?

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 16

Which measure of dispersion is most susceptible to extreme values (outliers)?

Accepted Answer

Range

Answer

Standard deviation

Answer

Variance

Answer

Mean absolute deviation

Question 17

What is the primary purpose of using standard deviation in descriptive statistics?

Accepted Answer

To measure the spread of the data

Answer

To find the average value of the data

Answer

To determine the most frequently occurring value

Answer

To predict the future values of the data

Question 18

Which type of graphical representation is particularly useful for identifying outliers in a data set?

Accepted Answer

Box-and-whisker plot

Answer

Stem-and-leaf plot

Answer

Histogram

Answer

Scatter plot

Question 19

Which measure of central tendency is least affected by outliers?

Accepted Answer

Median

Answer

Mean

Answer

Range

Answer

Mode

Question 20

What is the standard deviation of a data set that consists of a single repeated value?

Accepted Answer

0

Answer

Half the value

Answer

The value itself

Question 21

Which of the following is NOT a benefit of using descriptive statistics?

Accepted Answer

They provide comprehensive insights into complex relationships between variables.

Answer

They enable easy identification of patterns and trends in data.

Answer

They can be applied to data sets of various sizes.

Question 22

What is the range of a data set?

Accepted Answer

The difference between the maximum and minimum values

Answer

The sum of all the values

Answer

The average value

Question 23

What is the primary purpose of calculating the standard deviation?

Accepted Answer

To quantify the spread or variability of a data set

Answer

To identify the most frequent value in a data set

Answer

To determine the average value of a data set

Answer

To predict future values

Question 24

Which of the following is NOT a potential source of bias in statistical analysis?

Accepted Answer

Sampling error

Answer

Response bias

Answer

Selection bias

Answer

Confounding bias