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AQA GCSE · Question 14.2 · Statistical Measures and Calculations
It is still possible to correctly work out the median number of cupcakes from the stem and leaf diagram. Work out this median.
It is still possible to correctly work out the median number of cupcakes from the stem and leaf diagram. Work out this median.
How to approach this question
1. The median is the middle value in an ordered list.
2. First, list all 15 data values from the stem and leaf diagram in any order.
3. Then, arrange these 15 values in ascending order.
4. The position of the median in a set of 'n' values is found by (n+1)/2. Here, n=15, so the median is the (15+1)/2 = 8th value.
5. Find the 8th value in your ordered list.
Full Answer
34
Even though the diagram is not ordered, it contains all 15 correct data values. We can extract them and find the median.
The data values are:
From stem 2: 29, 24, 26, 22, 27
From stem 3: 34, 34, 31, 34
From stem 4: 47, 41, 42, 43
From stem 6: 60, 64
Now, let's order these 15 values:
22, 24, 26, 27, 29, 31, 34, **34**, 34, 41, 42, 43, 47, 60, 64
There are 15 values. The median is the middle value, which is the (15 + 1) / 2 = 8th value in the ordered list.
Counting along the list, the 8th value is 34.
So, the median is 34.
Common mistakes
✗ Finding the mean or mode instead of the median.\n✗ Making a mistake when ordering the numbers.\n✗ Incorrectly identifying the middle position (e.g., picking the 7th or 7.5th value).
Practice the full AQA GCSE Statistics Foundation Tier Paper 2
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