Statistics
5 free practice questions with explanations
PassNova has 5 free GCSE Maths Higher 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
5 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
What is the estimated mean from grouped data found using?
- AMidpoint × frequency, summed, ÷ total frequency✓
- BLargest − smallest
- CMiddle value of the data
- DMost common class
Answer: Estimated mean = Σ(midpoint × frequency) ÷ Σfrequency.
The median is best described as:
- AThe most common value
- BThe middle value when ordered✓
- CThe mean of all values
- DThe spread of the data
Answer: The median is the middle value of an ordered data set.
Which average is most affected by an extreme outlier?
- AMode
- BMedian
- CMean✓
- DRange
Answer: The mean uses every value, so a very large or small outlier pulls it noticeably.
A scatter graph shows points going up from bottom-left to top-right. This is:
- ANegative correlation
- BPositive correlation✓
- CNo correlation
- DA pie chart
Answer: As one variable increases the other increases — that is positive correlation.
The interquartile range (IQR) is calculated as:
- AUpper quartile − lower quartile✓
- BMaximum − minimum
- CMedian × 2
- DMean − mode
Answer: IQR = upper quartile (Q3) − lower quartile (Q1); it measures the spread of the middle 50%.