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The mean marks got by 300 students in the subject of statistics was 45. The mean of the top 100 of them was found to be 70 and the mean of the last 100 was known to be 20, then the mean of the remaining 100 students is

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Detailed Solution

The mean of 300 students in statistics is 45

The mean of Top 100 students is 70

The mean of last 100 students is 20

The mean of remaining students is m

$\begin{array}{rcl} Mean & = & \frac{\sum f_{i} x_{i}}{\sum f_{i}} \\ 45 & = & \frac{100 (70) + 100 (20) + 100 (m)}{300} \\ 135 & = & 70 + 20 + m \\ m & = & 45 \end{array}$

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