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In a group of seven students, the average weight is 55 kg. Six of them have individual weights (in kg) of 52, 54, 55, 53, 56, and 54.

What is the weight of the seventh student?

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76kg

61kg

54kg

44kg

answer is B.

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Detailed Solution

Given that, the weight of 6 students is 52, 54, 55, 53, 56, and 54.
The average weight of 7 students is 55 kg.
We know that,

Mean = Sum of the observations N u m b e r of observations

Let x kg be the weight of the seventh student.
We will calculate the weight of the seventh student using the mean formula mentioned above,

⇒ 55 = 52 + 54 + 55 + 53 + 56 + 54 + x 7 ⇒ 55 × 7 = 324 + x ⇒ x = 385 − 324 ⇒ x = 61 k g

The weight of 7th student is 61 kg.
Hence, option 2 is the correct option.

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