Statistics Quiz - Mathematics Statistics and Probability

Free practice quiz: Statistics (Mathematics Statistics and Probability). 22 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Statistics and Probability practice quiz has 22 multiple-choice questions on Statistics, and 22 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Which data is categorical?

   1. colour of a car
   2. height
   3. number of siblings
   4. weight
   Show answer

   Answer: A. colour of a car

   Colour is a category, not a measurement.

2. Which diagram best shows the proportions of categories?

   1. line graph
   2. scatter graph
   3. pie chart
   4. histogram
   Show answer

   Answer: C. pie chart

   Pie charts show parts of a whole.

3. Find the mean of 3, 5, 7, 9

   1. 5
   2. 7
   3. 6
   4. 24
   Show answer

   Answer: C. 6

   (3 + 5 + 7 + 9) ÷ 4 = 24 ÷ 4 = 6.

4. In a survey, 8 students chose football, 5 chose tennis and 7 chose swimming. How many students were surveyed?

   1. 8
   2. 15
   3. 12
   4. 20
   Show answer

   Answer: D. 20

   Add the frequencies: 8 + 5 + 7 = 20.

5. Find the median of 3, 8, 5, 10.

   1. 6
   2. 5
   3. 8
   4. 6.5
   Show answer

   Answer: D. 6.5

   Order the numbers: 3, 5, 8, 10. The median is halfway between 5 and 8: (5 + 8) ÷ 2 = 6.5.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Which data is continuous?
2. A school wants to know lunch preferences. Which sample is best?
3. Why does a larger sample usually give a more reliable result?
4. Which graph best shows a trend over time?
5. Which chart compares two categories side by side?
6. Find the median of 2, 4, 4, 6, 9
7. Find the range of 12, 5, 20, 8
8. A sample of 5 students gives a mean lunch cost. What is the best conclusion for the whole school?
9. How is the number 5 usually shown in a tally chart?
10. In a Venn diagram with two overlapping circles, what does the overlap show?
11. In a pie chart, red cars have a sector of 90°. What fraction of the cars are red?
12. A pie chart shows the choices of 40 students. The 'football' sector is 90°. How many students chose football?
13. Find the mode of 3, 5, 5, 7, 8, 5, 9.
14. Five test scores are 6, 8, 9, 5 and 7. Find the mean.
15. Four numbers have a mean of 5. Three of them are 2, 4 and 6. What is the fourth number?
16. A bar chart shows 12 students walk to school, 8 cycle and 20 take the bus. Which is the most common way to travel?
17. Which sample is likely to give a better estimate of the whole school's opinion?

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