Statistics
35 free practice questions with explanations
PassNova has 35 free GCSE Maths Foundation 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
12 worked examples with answers and explanations below. Practise all 35 Statistics questions free in the browser, with instant feedback on every answer.
Find the mean of 3, 5, 7, 9.
- A5
- B5.5
- C6✓
- D6.5
Answer: Mean = (3 + 5 + 7 + 9) ÷ 4 = 24 ÷ 4 = 6.
Find the median of 2, 4, 6, 8, 10.
- A4
- B6✓
- C7
- D8
Answer: Arrange in order: 2, 4, 6, 8, 10. The middle value is 6.
Find the mode of 1, 2, 2, 3, 4, 4, 4, 5.
- A2
- B3
- C4✓
- D5
Answer: The mode is the value that appears most often. 4 appears three times, which is more than any other.
Find the range of 5, 12, 8, 3, 15.
- A5
- B8.6
- C12✓
- D10
Answer: Range = highest - lowest = 15 - 3 = 12.
What is the median of 1, 3, 5, 7?
- A3
- B4✓
- C5
- D7
Answer: With 4 values, the median is the average of the 2nd and 3rd values: (3 + 5) ÷ 2 = 4.
A data set has 100 values. What is the position of the median?
- A50th
- B50.5th
- C51st
- DBetween 50th and 51st✓
Answer: With an even number of values, the median is between the (n/2)th and (n/2 + 1)th values. So between 50th and 51st.
Given: Mean = 50, Total of all values = 500. How many values are there?
- A5
- B10✓
- C50
- D500
Answer: Mean = Total ÷ Count. So Count = Total ÷ Mean = 500 ÷ 50 = 10.
A data set has mean 20. If you add a value of 20, what happens to the mean?
- AIt increases
- BIt decreases
- CIt stays the same✓
- DIt doubles
Answer: Adding a value equal to the mean doesn't change the mean.
The scores in a test are: 45, 50, 55, 60, 65, 70, 75. What is the interquartile range (IQR)?
- A15
- B20✓
- C30
- D25
Answer: Q1 is at position 2 (value 50), Q3 is at position 6 (value 70). IQR = 70 - 50 = 20.
Find the mean of 10, 15, 20, 25, 30.
- A15
- B17.5
- C20✓
- D22.5
Answer: Mean = (10 + 15 + 20 + 25 + 30) ÷ 5 = 100 ÷ 5 = 20.
A frequency table shows: Value 1 appears 5 times, Value 2 appears 3 times, Value 3 appears 2 times. What is the mode?
- A1✓
- B2
- C3
- D5
Answer: The mode is the value with the highest frequency. Value 1 appears 5 times, which is the most.
In a frequency table, the mean is calculated using the formula: mean = Σ(fx) ÷ Σf. What does f represent?
- AFrequency✓
- BFinal value
- CFactor
- DFunction
Answer: In the formula Σ(fx) ÷ Σf, 'f' represents the frequency of each value.