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Averages · Question 5 of 62

Question 5

EasyOriginal question

What is the average of all the multiples of 7 that lie between 1 and 100?

49Correct answerYour answer52.5Correct answerYour answer53.5Correct answerYour answer56Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

The multiples are 7, 14, …, 98 ( $98 = 7 \times 14$ ; 105 is above 100).
They are evenly spaced, so average = $\frac{7 + 98}{2} = 52.5$ .

Worth noting

Use the actual first and last multiples. Taking 0 to 98 gives 49; running up to 105 gives 56.

Concept: Average of multiples in a range using first and last term
Typical timeTypical: 45 s
Your timeYours: —

The rule this testsSimple average

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