Six students kept track of how much time they spent reading in a week. The mean was 6 hours. The mode was 7 hours. What might each of their times be?

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Six students kept track of how much time they spent reading in a week. The mean was 6 hours. The mode was 7 hours. What might each of their times be?

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Answer 1 · 2017-05-09T16:56:02

$7, 7, 7, 6, 5, 4$ $7,7,7,6,5,4$

Explanation:

So when we divide our numbers by how many numbers we have, we need to equal 6. Our most common number needs to be a 7.

So our mean is six, and we've got six people. This means when we add them all up, we need $6 \times 6 = 36$ $6 xx 6 =36$ total hours.
Lets say we've got three sevens, as this is our mode.
$36 - (7 \times 3) = 15$ $36-(7xx3) = 15$
We need three numbers that add up to $15$ $15$ , but as $7$ $7$ is our mode, we cannot have three fives.
Therefore, we can use $6, 4, 5$ $6,4,5$ .
Check:
$\frac{7 + 7 + 7 + 6 + 5 + 4}{6} = 6$ $(7+7+7+6+5+4)/6 = 6$
Perfect!

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Six students kept track of how much time they spent reading in a week. The mean was 6 hours. The mode was 7 hours. What might each of their times be?

1 Answer

Explanation:

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