The mean weight per student in a group of 7 students is 55 kg. The individual weights of 6 of them (in kg) are 52, 54, 55, 53, 56 and 54. Find the weight of the seventh student.

Given:

The mean weight per student in a group of 7 students is 55 kg. 

The individual weights of 6 of them (in kg) are 52, 54, 55, 53, 56 and 54.

To do:

We have to find the weight of the seventh student.

Solution:

We know that,

Mean $\overline{X}=\frac{Sum\ of\ the\ observations}{Number\ of\ observations}$

Mean weight of 7 students $= 55\ kg$

Total weight of 7 students $= 55 \times 7\ kg$

$= 385\ kg$

Total weights of 6 of the students $= 52 + 54 + 55 + 53 + 56 + 54$

$= 324\ kg$

Weight of the seventh student $= 385 - 324$

$= 61\ kg$

The weight of the seventh student is 61 kg.

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Updated on: 10-Oct-2022

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