Descriptive Statistics Quizzes: Master the Basics of Data Analysis

Question 1

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 2

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

Accepted Answer

Standard Deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 3

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 4

A histogram displays data distribution using a series of:

Accepted Answer

Rectangular bars

Answer

Straight lines

Answer

Scattered dots

Question 5

Which measure of dispersion quantifies the typical distance between data points and the mean?

Accepted Answer

Standard deviation

Answer

Range

Answer

Variance

Question 6

Box plots are particularly useful for identifying:

Accepted Answer

Outliers

Answer

Skewness

Answer

Clusters

Question 7

In a scatterplot, a negative correlation between two variables is indicated by a:

Accepted Answer

Negative slope

Answer

Positive slope

Answer

Horizontal line

Question 8

The mode of a dataset is defined as:

Accepted Answer

The value that occurs most frequently

Answer

The average of all values

Answer

The median value

Question 9

The range of a dataset is calculated by:

Accepted Answer

Subtracting the smallest value from the largest value

Answer

Adding the largest and smallest values

Answer

Multiplying the smallest value by the largest value

Question 10

Which graphical representation displays the frequency of each data point?

Accepted Answer

Histogram

Answer

Box plot

Answer

Dot plot

Question 11

The variance of a dataset measures:

Accepted Answer

The average squared deviation from the mean

Answer

The sum of all squared deviations from the mean

Answer

The difference between the maximum and minimum values

Question 12

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

Accepted Answer

Variance

Answer

Mean

Answer

Median

Answer

Mode

Question 13

Which of the following is the correct formula for calculating standard deviation?

Accepted Answer

√(Σ(x - μ)² / N)

Answer

√(Σ(x - μ) / N)

Answer

Σ(x - μ)² / N

Answer

Σ(x - μ) / N

Question 14

A box plot shows a median of 10, a lower quartile of 7, and an upper quartile of 15. What is the interquartile range?

Accepted Answer

4

Answer

3

Answer

8

Answer

11

Question 15

Which of the following is the most appropriate graphical representation for data showing the relationship between two numerical variables?

Accepted Answer

Scatterplot

Answer

Histogram

Answer

Box plot

Answer

Pie chart

Question 16

Which of the following is NOT a factor to consider when choosing the most appropriate measure of dispersion for a dataset?

Accepted Answer

The type of data (numerical/categorical)

Answer

The shape of the distribution

Answer

The presence of outliers

Answer

The number of data points

Question 17

Which of these describes how spread out a set of data is?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 18

Which of these is a measure of dispersion, rather than central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Question 19

Which measure of central tendency represents the numerical average of a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Variance

Answer

Standard deviation

Question 20

Which of the following is not a measure of dispersion?

Accepted Answer

Median

Answer

Range

Answer

Variance

Answer

Standard deviation

Question 21

A histogram is a graphical representation of which aspect of data?

Accepted Answer

Frequency distribution

Answer

Central tendency

Answer

Dispersion

Answer

Correlation

Question 22

When dealing with a skewed distribution, which measure of central tendency would be most appropriate?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 23

The standard deviation of a dataset provides information about its:

Accepted Answer

Spread or variability

Answer

Central tendency

Answer

Correlation

Answer

Graphical representation

Question 24

Box plots are primarily used to identify:

Accepted Answer

Outliers

Answer

Central tendency

Answer

Dispersion

Answer

Correlation

Question 25

What is a major limitation of using the range as a measure of dispersion?

Accepted Answer

It is heavily influenced by outliers.

Answer

It is only applicable to large datasets.

Answer

It is not a robust measure.

Answer

It is computationally complex.

Question 26

Scatterplots are employed to visually represent:

Accepted Answer

The relationship between two variables

Answer

The correlation coefficient

Answer

Outliers in a dataset

Answer

The mean of a distribution

Question 27

What is the possible range of values for the correlation coefficient between two variables?

Accepted Answer

-1 to 1

Answer

-1 to 0

Answer

0 to 1

Answer

0 to 2

Question 28

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 29

A histogram is a graphical representation of:

Accepted Answer

Frequency distribution of data

Answer

Cumulative frequency distribution of data

Answer

Time series data

Question 30

Which of the following is NOT a measure of data dispersion?

Accepted Answer

Mean

Answer

Standard deviation

Answer

Range

Question 31

A scatterplot can be used to show the:

Accepted Answer

Relationship between two variables

Answer

Distribution of a single variable

Answer

Cumulative frequency of a variable

Question 32

Which graphical representation displays the five key values of a dataset, also known as a five-number summary?

Accepted Answer

Box plot

Answer

Histogram

Answer

Scatterplot

Question 33

The interquartile range (IQR) of a dataset represents the:

Accepted Answer

Difference between the upper quartile and the lower quartile

Answer

Difference between the maximum value and the minimum value

Answer

Difference between the mean and the median

Question 34

A distribution that has a tail extending towards the right is considered:

Accepted Answer

Positively skewed

Answer

Negatively skewed

Answer

Symmetrical

Question 35

According to the empirical rule, approximately what percentage of data points in a normal distribution fall within one standard deviation of the mean?

Accepted Answer

68%

Answer

95%

Answer

99.7%

Question 36

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 37

Which of the following statistical measures describes the typical value of a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 38

For the dataset {5, 7, 9, 11, 13}, what is the value of the median?

Accepted Answer

7

Answer

6

Answer

10

Answer

12

Question 39

Which of the following is NOT a measure of variability in a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Variance

Answer

Standard deviation

Question 40

A box plot primarily displays:

Accepted Answer

Median, quartiles, and potential outliers

Answer

Mean, mode, and range

Answer

Frequency distribution of data

Answer

Standard deviation and variance

Question 41

What formula is used to calculate the variance of a dataset?

Accepted Answer

Sum of squared differences from the mean, divided by the number of values

Answer

Square root of the mean

Answer

Sum of all data points divided by the number of points

Answer

Difference between the mode and the median

Question 42

A histogram is primarily used to visualize:

Accepted Answer

Frequency of data values within specified intervals

Answer

Overall distribution of data

Answer

Mean, median, and mode

Answer

Presence of outliers

Question 43

The mode of a dataset refers to the value that:

Accepted Answer

Appears most frequently

Answer

Is the middle value

Answer

Is the average of all values

Answer

Is the difference between maximum and minimum values

Question 44

Which type of graph is used to display the relationship between two variables?

Accepted Answer

Scatterplot

Answer

Histogram

Answer

Box plot

Answer

Pie chart

Question 45

For the dataset {2, 4, 6, 8, 10}, calculate the standard deviation.

Accepted Answer

2.83

Answer

2

Answer

4

Answer

5

Question 46

Which limitation is inherent to descriptive statistics?

Accepted Answer

Limited ability to explain underlying causes of data variation

Answer

Excessive time required for calculations

Answer

Unsuitability for large datasets

Answer

Inability to make predictions

Question 47

In a symmetrical distribution, what is true about the mean, median, and mode?

Accepted Answer

They all have the same value.

Answer

The mean is greater than the median and mode.

Answer

The median is less than the mean and mode.

Question 48

Which of the following is a limitation of using a box plot to visualize data?

Accepted Answer

Individual data points cannot be identified.

Answer

Outliers are easily identified.

Answer

The spread of the data is clearly shown.

Answer

The shape of the data can be inferred.

Question 49

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

Accepted Answer

Range

Answer

Mode

Answer

Median

Answer

Mean

Question 50

Which type of graph is most appropriate for displaying categorical data?

Accepted Answer

Bar chart

Answer

Histogram

Answer

Scatter plot

Answer

Box plot

Question 51

What is the meaning of the interquartile range (IQR) of a dataset?

Accepted Answer

The IQR represents the spread of the middle 50% of the data.

Answer

The IQR is the difference between the minimum and maximum values.

Answer

The IQR is the mean of the data.

Question 52

Which measure of variability is most suitable for skewed data?

Accepted Answer

Interquartile range (IQR)

Answer

Standard deviation

Answer

Variance

Answer

Range

Question 53

A scatter plot shows a positive correlation between two variables. What does this imply?

Accepted Answer

As the value of one variable increases, the value of the other variable generally increases.

Answer

There is no relationship between the two variables.

Answer

As the value of one variable increases, the value of the other variable generally decreases.

Question 54

A coefficient of correlation between two variables is -0.8. What does this indicate?

Accepted Answer

A strong negative correlation

Answer

A weak positive correlation

Answer

A weak negative correlation

Answer

A strong positive correlation

Question 55

What is a limitation of using descriptive statistics?

Accepted Answer

Descriptive statistics can be misleading if the sample is not representative of the population.

Answer

Descriptive statistics can be used to make predictions about future outcomes.

Answer

Descriptive statistics are always accurate.

Question 56

What is the primary purpose of a box plot?

Accepted Answer

To display the distribution of data, including the median, quartiles, and outliers.

Answer

To show the mean and standard deviation of data.

Answer

To show the relationship between two variables.

Question 57

Which characteristic describes a normal distribution?

Accepted Answer

It is symmetric and bell-shaped.

Answer

It is skewed to the left.

Answer

It is uniform.

Answer

It is skewed to the right.