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Averages · Question 21 of 62

Question 21

EasyOriginal question

Section A has 30 students with an average score of 62, and Section B has 20 students with an average score of 72. What is the average score of all 50 students?

Options for question 21

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Total of Section A = 30×62=1,86030 \times 62 = 1{,}860; total of Section B = 20×72=1,44020 \times 72 = 1{,}440.

  2. Combined total = 3,300 for 50 students.

  3. Average = 330050=66\frac{3300}{50} = 66.

Worth noting

67 is the plain average of 62 and 72, which ignores that Section A is bigger. 68 swaps the group sizes.

Concept
Combined average of two groups of unequal size
Typical time
40 s
Your time
—
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.