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Averages · Question 16 of 62

Question 16

MediumOriginal question

The average of eight numbers is 25. Each number is multiplied by 3 and then 4 is subtracted from it. What is the new average?

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Multiplying every value by 3 multiplies the average by 3: 75.

  2. Subtracting 4 from every value subtracts 4 from the average: 75−4=7175 - 4 = 71.

Worth noting

The average follows the same operation as the values. 79 adds the 4 instead of subtracting it.

Concept
Effect of multiplying and shifting every value on the average
Typical time
40 s
Your time
—
The rule this testsSimple average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.