Question

There are 21 bags of pears on a market stall.

The mean number of pears in each bag is 8. The table shows the number of pears in 20 of the bags.
Calculate the number of pears in the 21st bag.

Numbers of
pears:
Frequency:
6 2
7 6
8 9
9 1
10 2

Answer 1

13 pears in the 21st bag

Explanation:

mean = total number of pears/total number of bags

8 = x/21

x = 168

number of pears in 20 bags = (6 x 2) + (7 x 6) + (8 x 9) + (9 x 1) + (10 x 2)

= 155

number of pears in the 21st bag = 168 - 155

= 13