Find the mode of the following data.

$\begin{matrix} Class interval & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 Frequency & 7 & 11 & 15 & 9 & 8 \end{matrix}$

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Solution

Modal Class is 200-300

Mode $= I + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h$

$= 200 + \frac{15 - 11}{30 - 11 - 9} \times 100 = 240$

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