Find the mode of the following data-Frequency - 10 - 13 - 8 - 7 - 12 Whline lendarray

Modal Class is 60 80 Mode=I+(f_1 f_0/2f_1 f_0 f_2)×h =120+13 10/26 10 8×20=127.5 ...

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Standard X

Mathematics

Measures of Central Tendency for Grouped Data

Find the mode...

Question

Find the mode of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 F r e q u e n c y & 10 & 13 & 8 & 7 & 12 \end{matrix}$

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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

=120+ $\frac{13 - 10}{26 - 10 - 8}$ $\times$ 20=127.5

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Find the mode of the following data. Class interval100−120120−140140−160160−180180−200Frequency10138712

Modal Class is 60-80 Mode=I+(f1−f02f1−f0−f2)×h =120+13−1026−10−8×20=127.5

Find the mode of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 F r e q u e n c y & 10 & 13 & 8 & 7 & 12 \end{matrix}$

Modal Class is 60-80

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

=120+ $\frac{13 - 10}{26 - 10 - 8}$ $\times$ 20=127.5