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Averages · Question 41 of 62

Question 41

EasyOriginal question

The average weight of 8 friends is 55 kg. One friend weighing 63 kg leaves the group and another weighing 47 kg joins. What is the new average weight?

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The total falls by 63−47=1663 - 47 = 16 kg.

  2. Spread over 8 people, the average falls by 168=2\frac{16}{8} = 2 kg.

  3. New average = 55−2=5355 - 2 = 53 kg.

Worth noting

The group is still 8 people. 57 kg moves the average the wrong way.

Concept
Replacing one value changes the total by the difference
Typical time
35 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.