Data and Statistics
25 free practice questions with explanations
PassNova has 25 free Functional Skills Maths L1 practice questions on Data and 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.
Data and Statistics: example questions & answers
12 worked examples with answers and explanations below. Practise all 25 Data and Statistics questions free in the browser, with instant feedback on every answer.
What is the range of these numbers: 3, 7, 5, 9, 4?
- A5
- B6✓
- C7
- D9
Answer: Range = highest - lowest = 9 - 3 = 6.
What is the mode of these numbers: 2, 5, 2, 8, 2, 9?
- A2✓
- B5
- C6
- D8
Answer: Mode is the number that appears most often. 2 appears three times.
What is the median of these numbers: 3, 5, 7, 9, 11?
- A5
- B7✓
- C9
- D11
Answer: Median is the middle value. In order: 3, 5, 7, 9, 11. The middle is 7.
What is the mean (average) of these numbers: 4, 6, 8, 10?
- A6
- B7✓
- C8
- D9
Answer: Mean = (4 + 6 + 8 + 10) ÷ 4 = 28 ÷ 4 = 7.
If a survey of 10 people shows 6 prefer tea and 4 prefer coffee, what fraction prefer tea?
- A2/5
- B3/5✓
- C4/5
- D1/2
Answer: 6 out of 10 prefer tea = 6/10 = 3/5.
What is the mode of: 10, 15, 10, 20, 10, 25?
- A10✓
- B15
- C20
- D25
Answer: Mode is the most frequent number. 10 appears 3 times.
A bar chart shows 20 people in 2020 and 30 people in 2021. What is the increase?
- A10✓
- B15
- C25
- D50
Answer: Increase = 30 - 20 = 10 people.
If 80 out of 100 people pass a test, what percentage pass?
- A20%
- B40%
- C60%
- D80%✓
Answer: Percentage = (80 ÷ 100) × 100% = 80%.
What is the median of: 2, 4, 6, 8?
- A4
- B5✓
- C6
- D8
Answer: With 4 numbers, median = average of 2nd and 3rd = (4 + 6) ÷ 2 = 5.
What is the mean of 10, 20, 30?
- A15
- B20✓
- C25
- D30
Answer: Mean = (10 + 20 + 30) ÷ 3 = 60 ÷ 3 = 20.
In a pie chart, if one section is 90 degrees, what fraction is it?
- A1/2
- B1/3
- C1/4✓
- D1/5
Answer: 90 out of 360 degrees = 90/360 = 1/4.
A box contains 5 red, 3 blue, and 2 yellow balls. What is the total?
- A8
- B10✓
- C12
- D15
Answer: Total = 5 + 3 + 2 = 10 balls.