Question:
The arithmetic mean of the weight of 12 persons is 45.6 kg. The sum of their weights will be :
The arithmetic mean of the weight of 12 persons is 45.6 kg. The sum of their weights will be :
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To find the sum of observations when the arithmetic mean is known, multiply the mean by the total number of observations.
Updated On: Oct 10, 2025
- 457.2 kg
- 475.2 kg
- 547.2 kg
- 754.2 kg
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The Correct Option is B
Solution and Explanation
The formula for the arithmetic mean is:
\[
\text{Arithmetic Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations}}
\]
Given that the arithmetic mean is 45.6 kg and the number of persons is 12, we can calculate the sum of their weights by multiplying the arithmetic mean by the number of persons:
\[
\text{Sum of weights} = 45.6 \times 12 = 475.2 \, \text{kg}
\]
Thus, the sum of their weights is 475.2 kg.
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