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Averages · Question 49 of 62

Question 49

MediumOriginal question

The average weight of 10 people increases by 1.5 kg when one of them, who weighs 58 kg, is replaced by a new person. What is the weight of the new person?

Options for question 49

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The total rises by 10×1.5=1510 \times 1.5 = 15 kg.

  2. So the new person weighs 15 kg more than the one replaced: 58+15=7358 + 15 = 73 kg.

Worth noting

The rise is spread over all 10 people. Adding just 1.5 kg gives 59.5 kg; subtracting 15 gives 43 kg.

Concept
Value of a replacement from the change in average
Typical time
50 s
Your time
—
The rule this testsChange in average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.