Six students kept track of how much time they spent reading in a week. The...

Ciara Mcdaniel

Ciara Mcdaniel

Answered

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?

Answer & Explanation

Oliver Shepherd

Oliver Shepherd

Expert

2022-07-02Added 24 answers

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 ( 7 × 3 ) = 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:
7 + 7 + 7 + 6 + 5 + 4 6 = 6

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