Find the mode of the following data- array - c - c - c - c - c - c - hlineClass - 0-20 - 20-40 - 40-60 - 60-80 - 80-100 illhline Frequency - 5 - 11 - 12 - 13 - 9 lilhline lendarray

Modal Class is 60 80 Mode=I+(f_1 f_0/2f_1 f_0 f_2)×h =60+13 12/26 12 9×20=64 ...

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Standard X

Mathematics

Finding Mode for Ungrouped Data

Find the mode...

Question

Find the mode of the following data.

$\begin{matrix} C l a s s & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 F r e q u e n c y & 5 & 11 & 12 & 13 & 9 \end{matrix}$

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Solution

Modal Class is 60-80

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

=60+ $\frac{13 - 12}{26 - 12 - 9}$ $\times$ 20=64

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Find the mode of the following data. Class0−2020−4040−6060−8080−100Frequency51112139

Modal Class is 60-80 Mode=I+(f1−f02f1−f0−f2)×h =60+13−1226−12−9×20=64

Find the mode of the following data.

$\begin{matrix} C l a s s & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 F r e q u e n c y & 5 & 11 & 12 & 13 & 9 \end{matrix}$

Modal Class is 60-80

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

=60+ $\frac{13 - 12}{26 - 12 - 9}$ $\times$ 20=64