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Averages · Question 53 of 62

Question 53

MediumOriginal question

The average mark of 24 students is 60. When 6 more students join, the average mark of all 30 students becomes 58. What is the average mark of the 6 new students?

Options for question 53

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Old total = 24×60=1,44024 \times 60 = 1{,}440.

  2. New total = 30×58=1,74030 \times 58 = 1{,}740.

  3. The 6 new students scored 1,740−1,440=3001{,}740 - 1{,}440 = 300 in all, an average of 50.

Worth noting

56 subtracts 2 from 58 as if the change affected only the newcomers.

Concept
Average of a newly joined group
Typical time
55 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.