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A bus company recorded the ages, in years, of the people on coach A and the people on coach B - Edexcel - GCSE Maths - Question 12 - 2019 - Paper 1
Question 12
A bus company recorded the ages, in years, of the people on coach A and the people on coach B. Here are the ages of the 23 people on coach A. 41 42 42 48 52 53 53 ... show full transcript
Worked Solution & Example Answer:A bus company recorded the ages, in years, of the people on coach A and the people on coach B - Edexcel - GCSE Maths - Question 12 - 2019 - Paper 1
Step 1
Complete the table below to show information about the ages of the people on coach A.
Answer
To find the median, we first arrange the ages in ascending order:
41, 42, 42, 48, 52, 53, 53, 56, 57, 59, 60, 61, 63, 64, 65, 66, 67, 68, 70, 72, 75, 78, 79.
Since there are 23 data points, the median will be the value at position 12: 61.
The lower quartile (Q1) is the median of the first half of the data (1st to 11th values), which is 53.
The upper quartile (Q3) is the median of the second half of the data (12th to 23rd values), which is 72.
Thus, the completed table is:
| Median | 61 |
| Lower quartile | 53 |
| Upper quartile | 72 |
| Least age | 41 |
| Greatest age | 79 |
Step 2
Step 3