The average weight of a group of 25 men was calculated to be 78.4 kg. It was discovered later that one weight was wrongly entered as 69 kg instead of 96 kg. What is the correct average ?

80.30

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79.48

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77.56

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75.76

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Solution

The correct option is B
79.48

Total weight of 25 men = 25 $\times$ 78.4 = 1960

Due to the error in one entry, 96 has become 69

Difference of the wrong entries 96 - 69 = 27 kg

$∴$ Correct total = 1960 + 27 = 1987

$∴$ Correct average $= \frac{1987}{25} = 79.48$

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The average weight of a group of 25 men was calculated to be 78.4 kg. It was discovered later that one weight was wrongly entered as 69 kg instead of 96 kg. What is the correct average ?

The correct option is B 79.48 Total weight of 25 men = 25 × 78.4 = 1960 Due to the error in one entry, 96 has become 69 Difference of the wrong entries 96 - 69 = 27 kg ∴ Correct total = 1960 + 27 = 1987 ∴ Correct average =198725=79.48

The correct option is B
79.48

Total weight of 25 men = 25 $\times$ 78.4 = 1960

Due to the error in one entry, 96 has become 69

Difference of the wrong entries 96 - 69 = 27 kg

$∴$ Correct total = 1960 + 27 = 1987

$∴$ Correct average $= \frac{1987}{25} = 79.48$