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Averages · Question 23 of 62

Question 23

EasyOriginal question

The average weight of 25 boys in a class is 48 kg and the average weight of the 15 girls is 40 kg. What is the average weight of the whole class?

Options for question 23

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Total weight = 25×48+15×40=1,200+600=1,80025 \times 48 + 15 \times 40 = 1{,}200 + 600 = 1{,}800 kg.

  2. Number of students = 40.

  3. Average = 180040=45\frac{1800}{40} = 45 kg.

Worth noting

44 kg is the unweighted average of 48 and 40; 43 kg attaches the 25 to the girls' average instead of the boys'.

Concept
Combined average weighted by group size
Typical time
40 s
Your time
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The rule this testsWeighted average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.