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प्रश्न
Medical check-up was carried out for 35 students of a class and their weights were recorded as follows:
| Weight (in kg): | 38-40 | 40-42 | 42-44 | 44-46 | 46-48 | 48-50 | 50-52 |
| Number of students: | 3 | 2 | 4 | 5 | 14 | 4 | 3 |
Find the difference between the mean weight and the median weight.
बेरीज
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उत्तर
Using the class marks 39, 41, 43, 45, 47, 49 and 51:
\[\sum f_i x_i=1603,\qquad N=35\]
\[\text{Mean weight}=\frac{1603}{35}=45.8\text{ kg}\]
The cumulative frequency first exceeding `N/2 = 17.5` is 28, so the median class is 46–48.
Here l = 46, h = 2, f = 14 and F = 14.
\[\text{Median weight}=46+\frac{17.5-14}{14}\times 2=46.5\text{ kg}\]
\[\text{Difference}=|46.5-45.8|=0.7\text{ kg}\]
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