222k views
3 votes
The mean weight of nine apples is 7.5 ounces. Three of the apples have

a mean weight of 8 ounces. Find the mean weight of the other
six apples.

1 Answer

6 votes

9514 1404 393

Answer:

7.25 ounces

Explanation:

The sum of weights is the mean weight times the number of apples.

sum of 9 = 7.5×9 = 67.5 . . . ounces

sum of 3 = 8×3 = 24 . . . ounces

Then the sum of the weights of the remaining 6 is ...

67.5 -24 = 43.5 . . . ounces

The mean weight of those 6 is ...

(total weight of 6)/6 = mean weight of 6

(43.5 oz)/(6) = 7.25 oz

The mean weight of the other 6 is 7.25 oz.

_____

Additional comment

If some have an average weight that is greater than the mean of all, the remaining must have an average weight that is less than the mean of all.

User Jozzy
by
4.9k points