Key Concepts in Averages and Range
- Mean, median, mode
- Range and interquartile range
- Mean from frequency tables
- Estimated mean from grouped data
- Choosing the appropriate average
Exam Tips for Averages and Range
- 💡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
Exam Board Coverage
Averages and Range appears on all major GCSE Maths exam boards at both Foundation and Higher tier.
AQA
Edexcel
OCR
Frequently Asked Questions
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.