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
May 9, 2017

#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 xx 6 =36# total hours.
Lets say we've got three sevens, as this is our mode.
#36-(7xx3) = 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#
Perfect!