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What will be the mean weight of the remaining students, if the mean weight of 60 students of a class is 52.75 kg and if the mean weight of 25 of them is 51 kg?

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55 kg

54 kg

56 kg

58 kg

answer is B.

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Detailed Solution

We have to find the mean weight of the remaining students, if the mean weight of 60 students of a class is 52.75 kg and if the mean weight of 25 of them is 51 kg.
We know that,

Mean= Sum of all observations Number of observations

The mean weight of 60 students in a class is 52.75 kg and the mean weight of 25 of them is 51 kg.
Mathematically,

Sum of weight of 60 students 60 = 52.75 Sum of weight of 60 students = 52.75 × 60 = 3165 Sum of weight of 25 students 25 = 51 Sum of weight of 25 students = 51 × 25 = 1275

Now, subtract the weight of 25 students from 60 students,

3165 − 1275 = 1890

Calculating the mean of 35 students,

189035 = 54

Hence, the mean of 35 students is 54kg.
Therefore, option 2 is correct.

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