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WAEC Mathematics 2021 Paper

Question : 40

Total: 49

Height(cm)	160	161	162	163	164	165
No. of players	4	6	3	7	8	9

Solution:

Concept:

The mean height is found by dividing the total sum of heights by the total number of players.

Explanation:

First, calculate

\sum fx

, the sum of each height multiplied by its frequency:

(160 \times 4) + (161 \times 6) + (162 \times 3) + (163 \times 7) + (164 \times 8) + (165 \times 9)

= 640 + 966 + 486 + 1141 + 1312 + 1485

= 6030

Next, find the total number of players:

\sum f = 4 + 6 + 3 + 7 + 8 + 9 = 37

Now, the mean height is

\frac{\sum fx}{\sum f} = \frac{6030}{37} = 162.9729...

Correct to one decimal place, this is

163.0

cm.

Answer:

163.0

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