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Question
Find the median of the following frequency distribution:
| x | 10 | 11 | 12 | 13 | 14 | 15 |
| f | 1 | 4 | 7 | 5 | 9 | 3 |
Sum
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Solution
| x | f | c.f. |
| 10 | 1 | 1 |
| 11 | 4 | 5 |
| 12 | 7 | 12 |
| 13 | 5 | 17 |
| 14 | 9 | 26 |
| 15 | 3 | 29 |
n = 29 (odd)
∴ Median = `(("n" + 1)/2)^"th" "value"`
= `((29 + 1)/2)^"th" "value"`
= 15th value
= 13.
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