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Averages · Question 54 of 62

Question 54

MediumOriginal question

The average of 12 numbers is 45. When two of the numbers are removed, the average of the remaining 10 numbers is 44. What is the average of the two numbers removed?

Options for question 54

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Total of 12=12×45=54012 = 12 \times 45 = 540.

  2. Total of remaining 10=10×44=44010 = 10 \times 44 = 440.

  3. The two removed numbers add up to 100, so their average is 50.

Worth noting

Removing them made the average fall, so they must be ABOVE 45 on average; 44 and 44.5 cannot be right.

Concept
Average of the values removed
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.