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Median
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Sample Questions
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EasyQuestion 1
[2 marks]Find the median of: 12, 5, 8, 3, 15, 9, 7
Solution for Question 1
MediumQuestion 2
[3 marks]Find the median of: 23, 45, 18, 32, 56, 41
Solution for Question 2
HardQuestion 3
[4 marks]The table shows test scores:
| Score | 5 | 6 | 7 | 8 | 9 |
| Frequency | 3 | 7 | 12 | 5 | 3 |
Find the median score.
Solution for Question 3
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Generate Unlimited QuestionsAbout Median in AQA GCSE
The median is the middle value when data is arranged in order. It is a useful average because it is not affected by extreme values.
**Finding the Median:**
1. Arrange all values in order (smallest to largest)
2. Find the middle value
**For n values:**
- If n is odd: median is the ((n+1)/2)th value
- If n is even: median is the mean of the (n/2)th and ((n/2)+1)th values
**Examples:**
- 3, 5, 7, 9, 11 → median = 7 (middle of 5 values)
- 2, 4, 6, 8 → median = (4+6)/2 = 5 (mean of middle two)
**From a Frequency Table:**
1. Find total frequency (n)
2. Find position: (n+1)/2
3. Use cumulative frequency to locate this position
**Advantages:**
- Not affected by outliers
- Easy to understand
- Always an actual data value (for odd n)
**Exam Tips:**
- Always put data in order first
- For even amounts, average the two middle values
- Use cumulative frequency for large datasets
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