The goals scored by 40 football teams from three league divisions are recorded below \(\begin{array}{c|c}...

JAMB 1987

The goals scored by 40 football teams from three league divisions are recorded below
\(\begin{array}{c|c} \text{Number of goals} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline frequency & 4 & 3 & 15 & 16 & 1 & 0 & 1\end{array}\)
What is the total number of goals scored by all the terms?

A. 21
B. 40
C. 91
D. 96

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Correct Answer: Option C

Explanation

Let x rep. number of goals
\(\begin{array}{c|c} "f & " & frequency\\\hline x & f & fx\\ 0 & 4 & 0\\1 & 3 & 3\\2 & 15 & 30\\3 & 16 & 48\\4 & 1 & 4\\5 & 0 & 0 \\ 6 & 1 & 6\end{array}\)

\(\sum fx\) = 91

Total number of goals scored is \(\sum fx\)= 91

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