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The mean weight of 9 students is 25 kg. If one more student is joined in the group the mean is unaltered, then find the weight of the 10th student.

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25 kg

24 kg

26 kg

23 kg

answer is A.

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Detailed Solution

It is given the mean weight of

9

students is

25

kg.
Formula used

A r i t h m e t i c m e a n = S u m o f g i v e n n u m b e r s T o t a l n u m b e r s

Applying the above formula, we get the sum of weights of the 9 students is

25 × 9 = 225

kg.
If one more student joins the group, there will be a total of 10 students, and the mean will be 25.
The sum of weights of the 10 students is

25 × 10 = 250

kg.
The weight of the tenth student is

250 − 225 = 25

kg .
Therefore the weight of the 10th student is 25 kg.
Hence, the correct option is 1.

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