Multiple choice

There are 6 members in the family and their average weight is 88 kg. On cross examining the weight, it was found that weight of one member was wrongly recorded as 86 kg but actual weight was 68 kg. Calculate the new average weight of the family.

  1. 85 kg

  2. 86 kg

  3. 87 kg

  4. 88 kg
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A Correct answer
Explanation

Original sum = 6 * 88 = 528. The error was 86 - 68 = 18. New sum = 528 - 18 = 510. New average = 510 / 6 = 85.

AI explanation

Using the basic average formula, the initial total weight for 6 members is 88 times 6, which equals 528 kg. The error in recording the weight decreased the total by the difference between 86 and 68, meaning the total must be corrected by subtracting 18. The new total weight becomes 528 minus 18, giving 510 kg. Dividing this corrected total by 6 gives the new average weight of 85 kg.

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