The table shows the ages(in years) of twenty children chosen at random from a community. What is the mean age? $\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}$

4.46 years

3.35 years

3.30years

3.00 years

Correct answer is B

Mean(age) = $\frac{(1 \times 2) + (2 \times 3) + (3 \times 5) + (4 \times 6) + (5 \times 4)}{2 + 3 + 5 + 6 + 4}$

= $\frac{2 + 6 + 15 + 24 + 20}{20}$

= $\frac{67}{20}$

= 3.35yrs

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