GCSE Maths: Averages and Range
Practise GCSE Maths averages — mean, median, mode and range from raw data, frequency tables and grouped data. AQA, Edexcel, OCR and Eduqas.
StatisticsFoundation & HigherAQA · Edexcel · OCR · Eduqas
What you need to know
The concepts examiners test on averages and range, and what each one is really asking.
Mean, median, mode
Range and interquartile range
Mean from frequency tables
Estimated mean from grouped data
Choosing the appropriate average
Where marks get lost
The exam technique that separates a correct method from a correct answer.
- Median is the middle value when data is ordered
- For grouped data, use midpoints to estimate the mean
- Mean is affected by outliers; median is more robust
Averages and Range questions students ask
How do I find the median from a frequency table?
Find the total frequency. The median is at position (n+1)/2. Cumulate the frequencies to find which class or value contains that position.
How do I estimate the mean from grouped data?
Use midpoints for each class interval. Mean ≈ Σ(midpoint × frequency) ÷ total frequency.