Statistics Quiz

Statistics helps us collect, summarise and interpret data. This quiz covers mean, median, mode, range, variance, standard deviation and basic probability.

What this quiz covers

Study tip: Compute a few measures by hand on a tiny data set before relying on a calculator.

Questions, answers and explanations

1. What is the average of the numbers 4, 6, 8, 10, and 12?

  1. 6
  2. 8
  3. 10
  4. 12

Answer: 8

Mean = (4 + 6 + 8 + 10 + 12) ÷ 5 = 40 ÷ 5 = 8.

2. The average of a set of numbers is called:

  1. Median
  2. Mode
  3. Mean
  4. Range

Answer: Mean

The arithmetic average is called the mean.

3. The middle value in an ordered data set is called:

  1. Mode
  2. Range
  3. Median
  4. Mean

Answer: Median

The median is the middle value after arranging the data in order.

4. The value that appears most frequently is called:

  1. Mean
  2. Median
  3. Mode
  4. Range

Answer: Mode

The mode is the value that occurs most often.

5. The difference between the largest and smallest values is called:

  1. Mean
  2. Median
  3. Mode
  4. Range

Answer: Range

Range = Maximum value − Minimum value.

6. Find the mean of 2, 4, 6, 8.

  1. 4
  2. 5
  3. 6
  4. 8

Answer: 5

Mean = (2 + 4 + 6 + 8) ÷ 4 = 20 ÷ 4 = 5.

7. Find the median of 3, 5, 7, 9, 11.

  1. 5
  2. 7
  3. 9
  4. 11

Answer: 7

The middle value in the ordered data is 7.

8. Find the mode of 2, 3, 3, 4, 5.

  1. 2
  2. 3
  3. 4
  4. 5

Answer: 3

3 appears most frequently, so it is the mode.

9. What is the range of 10, 15, 20, 25?

  1. 10
  2. 15
  3. 20
  4. 25

Answer: 15

Range = 25 − 10 = 15.

10. Which graph is commonly used to display categorical data?

  1. Bar Chart
  2. Line Graph
  3. Histogram
  4. Scatter Plot

Answer: Bar Chart

A bar chart is commonly used to compare categorical data.

11. Which measure of central tendency is affected the most by extreme values?

  1. Mean
  2. Median
  3. Mode
  4. Range

Answer: Mean

The mean is highly affected by very large or very small values (outliers).

12. Find the median of 2, 4, 6, 8.

  1. 4
  2. 5
  3. 6
  4. 7

Answer: 5

Median = (4 + 6) ÷ 2 = 5 because there are an even number of values.

13. How many measures of central tendency are commonly used?

  1. 2
  2. 3
  3. 4
  4. 5

Answer: 3

The three common measures are Mean, Median, and Mode.

14. Which graph is best for showing trends over time?

  1. Pie Chart
  2. Bar Chart
  3. Line Graph
  4. Histogram

Answer: Line Graph

A line graph is commonly used to show changes or trends over time.

15. A pie chart is mainly used to show:

  1. Part-to-whole relationships
  2. Trends
  3. Frequency only
  4. Equations

Answer: Part-to-whole relationships

A pie chart shows how different parts make up a whole.

16. What is the range of the data set 12, 18, 25, 30?

  1. 12
  2. 18
  3. 25
  4. 18

Answer: 18

Range = Maximum − Minimum = 30 − 12 = 18.

17. Which measure of central tendency is the most frequent value?

  1. Mean
  2. Median
  3. Mode
  4. Range

Answer: Mode

The mode is the value that appears most frequently.

18. What is the mean of 10, 20, 30?

  1. 15
  2. 20
  3. 25
  4. 30

Answer: 20

Mean = (10 + 20 + 30) ÷ 3 = 60 ÷ 3 = 20.

19. Which chart is best for showing parts of a whole?

  1. Line Graph
  2. Bar Chart
  3. Pie Chart
  4. Histogram

Answer: Pie Chart

A pie chart is used to represent proportions of a whole.

20. Which branch of mathematics deals with collecting, analyzing, and interpreting data?

  1. Algebra
  2. Geometry
  3. Statistics
  4. Calculus

Answer: Statistics

Statistics is the branch of mathematics that deals with data collection, analysis, interpretation, and presentation.

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