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Height (in cm) of 25 children are given below: 168, 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160, 163, 160, 165, 163, 162, 163, 164, 163, 160, 165, 163, 162. Find the average height.

 

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Average height \(=\frac{\text { Sum of all heights }}{\text { Total number of children }}\)

Heights:

168, 165, 163, 160, 163, 161, 162, 164, 163, 162,
164, 163, 160, 163, 160, 165, 163, 162, 163, 164,
163, 160, 165, 163, 162

\(\begin{aligned} & 160 \rightarrow 4 \text { times } \rightarrow 160 \times 4=640 \\ & 161 \rightarrow 1 \text { time } \rightarrow 161 \\ & 162 \rightarrow 4 \text { times } \rightarrow 162 \times 4=648 \\ & 163 \rightarrow 9 \text { times } \rightarrow 163 \times 9=1467 \\ & 164 \rightarrow 3 \text { times } \rightarrow 164 \times 3=492 \\ & 165 \rightarrow 3 \text { times } \rightarrow 165 \times 3=495 \\ & 168 \rightarrow 1 \text { time } \rightarrow 168\end{aligned}\)

\(640+161+648+1467+492+495+168=4071\)

Average height \(=\frac{4071}{25}=162.84 cm\)

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Divya Sharma

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