PassNova has 8 free KS3 Maths practice questions on Statistics, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Statistics: example questions & answers
8 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
What is the mean of 4, 6, 8 and 10?
- A6
- B7✓
- C8
- D28
Answer: Mean = (4 + 6 + 8 + 10) ÷ 4 = 28 ÷ 4 = 7.
What is the median of 3, 7, 9, 12, 15?
- A7
- B12
- C9✓
- D9.2
Answer: The median is the middle value of the ordered list. With five values, the third value (9) is the median.
What is the mode of 2, 3, 3, 5, 7, 3, 8?
- A2
- B3✓
- C5
- D8
Answer: The mode is the value that appears most often. 3 appears three times, more than any other.
What is the range of the data 12, 5, 9, 20, 7?
- A7
- B15✓
- C5
- D20
Answer: Range = largest − smallest = 20 − 5 = 15.
Which chart is best for showing how a whole is split into parts/proportions?
- APie chart✓
- BFrequency table
- CScatter graph
- DLine graph
Answer: A pie chart shows how a total is divided into proportional categories.
In a tally chart, how is the number 5 usually shown?
- AFive separate vertical lines
- BThe digit 5 written on its own
- CFive small circles in a row
- DFour vertical lines with a fifth crossing them✓
Answer: Tallies are grouped in fives: four vertical lines with a fifth drawn diagonally across them.
A scatter graph shows that as the number of hours pupils revise goes up, their test scores also go up. What does the graph show?
- ANegative correlation
- BPositive correlation✓
- CZero correlation
- DThat revising causes higher scores
Answer: When one variable rises as the other rises, the points slope upwards from left to right and the relationship is called positive correlation. A scatter graph can show a link between two variables but cannot by itself prove that one causes the other.
Thirty pupils recorded their journey time to school in a grouped table: 0 up to 10 minutes, 7 pupils; 10 up to 20 minutes, 12 pupils; 20 up to 30 minutes, 8 pupils; 30 up to 40 minutes, 3 pupils. Which is the modal class?
- A0 up to 10 minutes
- B20 up to 30 minutes
- C30 up to 40 minutes
- D10 up to 20 minutes✓
Answer: The modal class is the group with the highest frequency. With 12 pupils, the 10 up to 20 minutes group has more than any other group, so that is the modal class. With grouped data you cannot name a single modal value, only the class.