IGCSE Math RevisionWorked example 1: Mean and median
Find the mean and the median of 3, 8, 8, 10, 11.
Solution
- Mean:
- The list is already in order; the middle (3rd) value is 8.
Answer: Mean 8, median 8
3 steps
Tip: Always order the data before finding the median.
Edexcel IGCSE Maths (4MA1) · Unit 6: Statistics & Probability
Edexcel IGCSE 4MA1 Mean, Median and Mode: Exam Questions and Answers
Mean, Median and Mode questions with full solutions for Pearson Edexcel International GCSE Mathematics A (4MA1), Higher tier. Read the 4 worked examples first, then cover each solution and redo it yourself.
- 4 worked examples
- Higher tier · calculator allowed
- Free, no sign-in
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Find the mean of
Find the mean of the data in the table.
| 2 | 4 | 6 | 8 | |
| Frequency | 1 | 4 | 4 | 1 |
Find the median of
Find the mean of the data in the table.
| 0 | 1 | 2 | 3 | 4 | |
| Frequency | 6 | 9 | 3 | 1 | 1 |
Find the mean of
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What this topic covers
- Averages & basic data handling: Calculating mean, median, mode and range from a data set.
- Statistical Measures 1: Mean, median, mode from a list of values.
- Statistical Measures 2: Mean from a frequency table (grouped or ungrouped).
- Statistical Measures 3: Range and IQR — measures of spread.
Mean, Median and Mode worked examples
Worked example 2: Averages from a list
Find the mean, median and mode of 4, 9, 6, 12, 9.
Solution
- Mean
- Ordered: 4, 6, 9, 9, 12, so median 9.
- Mode 9.
Answer: Mean 8, median 9, mode 9
4 steps
Tip: Order the list first.
Worked example 3: Mean from a frequency table
Values 1, 2, 3, 4 have frequencies 3, 5, 8, 4. Find the mean.
Solution
- Mean
Answer: 2.65
4 steps
Tip: Divide by the total frequency, not the number of rows.
Worked example 4: Estimated mean
Estimate the mean for:
Solution
- Midpoints 5, 15, 25.
- Mean
Answer: 16
4 steps · 1 to fill in
Tip: It is an estimate because midpoints are used.
Every question and worked example here is original, written for IGCSE Math Revision rather than copied from Pearson papers, and each answer was re-solved independently before publishing.
Revise mean, median and mode for the exam
- Unit 6 practice: Statistics & Probability in the student hub (more questions with mark schemes)
- IGCSE Maths revision notes for this topic and the IGCSE Maths formula sheet
- Edexcel IGCSE Maths 4MA1 past papers to practise under exam conditions
- IGCSE Maths 4MA1 examiner report summary: where students lose marks
Questions students ask
Which Edexcel IGCSE Maths papers test mean, median and mode?
Either Higher tier paper, 1H or 2H, can test mean, median and mode: both cover the whole Pearson Edexcel International GCSE Mathematics A (4MA1) specification and both allow a calculator. Show your method, because most marks are for working.
Where can I practise more mean, median and mode questions?
In the IGCSE student hub: Unit 6 (Statistics & Probability) has more exam-style questions on this topic, each with a mark scheme. Practice starts with a 7-day free trial; the worked examples and questions on this page are free.
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