The table shows the shoe sizes of the members of a sports club.
| Shoe size | 5 | 8 | 11 | 14 | 17 |
|---|---|---|---|---|---|
| Number of members | 8 | 4 | 3 | 2 | 6 |
What is the median shoe size?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 8
The median is the middle value when all the values are written in ascending order. In a frequency table, add the frequencies one by one (cumulative frequency) to find where the middle value falls.
Number of members \(=8+4+3+2+6=23\), which is odd
The median is the \(\displaystyle\frac{23+1}{2}=12\)th value
Size 5 takes the 1st to the 8th places
Size 8 takes the 9th to the 12th places \((8+4=12)\)
So the 12th value, the median, is 8