Ciara Mcdaniel

2022-07-01

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?

Oliver Shepherd

Expert

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 $6×6=36$ total hours.
Lets say we've got three sevens, as this is our mode.
$36-\left(7×3\right)=15$
We need three numbers that add up to 15, but as 7 is our mode, we cannot have three fives.
Therefore, we can use 6,4,5.
Check:
$\frac{7+7+7+6+5+4}{6}=6$

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