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What will be the weight of the student who left, if the mean weight of a class of 36 students is 41 kg and if one of the students leaves the class then the mean decreases by 200 g?

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48 kg

49 kg

50 kg

47 kg

answer is A.

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Detailed Solution

We have to find the weight of the student who left, if the mean weight of a class of 36 students is 41 kg and if one of the students leaves the class then the mean decreases by 200 g.
We know that,

Mean= Sum of all observations Number of observations

We know that the mean is 41kg.
Now, calculate the sum of 36 students,

Sum of weight 36 = 41 Sum of weight = 41 × 36 = 1476

According to the question,
New mean =41 – 0.2 = 40.8 kg
Calculating the sum of the weight of 35 students,

Sum of all weights 35 = 40.8 Sum of all weights = 40.8 × 35 = 1428

Weight of the student who leaves = 1476 – 1428 = 48kg.
Hence, the weight of the student who left is 48kg.
Therefore, option 1 is correct.

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