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Question
By drawing an ogive, estimate the median for the following frequency distribution:
| Weight (kg) | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 |
| No. of boys | 11 | 25 | 12 | 5 | 2 |
Solution
| Weight (kg) | No. of boys | Cumulative Frequency |
| 10 – 15 | 11 | 11 |
| 15 – 20 | 25 | 36 |
| 20 – 25 | 12 | 48 |
| 25 – 30 | 5 | 53 |
| 30 – 35 | 2 | 55 |
Number of terms = 55
∴ Median = `(55 + 1^(th))/2` term
= 28th term
Through mark of 28 on the y-axis, draw a line parallel to x-axis which meets the curve at A. From A, draw a perpendicular to x-axis, which meets x-axis at B.
The value of B is the median which is 18.4 kg.
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