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WAEC Mathematics 2012 Paper

Question : 41

Total: 49

Solution:

Concept:

The mean of a frequency distribution is calculated using the formula

\bar{x} = \frac{\sum fx}{\sum f}

Explanation:

From the bar chart, the marks

x

and their frequencies

f

are as follows:

x = 1, 2, 3, 4

f = 6, 8, 6, 5

Total frequency:

\sum f = 6 + 8 + 6 + 5 = 25

Total of

fx

\sum fx = (1 \times 6) + (2 \times 8) + (3 \times 6) + (4 \times 5)

\sum fx = 6 + 16 + 18 + 20 = 60

Now calculate the mean:

\bar{x} = \frac{\sum fx}{\sum f} = \frac{60}{25} = 2.4

Answer:

The mean of the distribution is

2.4

The correct option is C.

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