Find the mode of the following data- array -c- c-c- c-c- c - hline Class-space interval - 0-10 - 10-20 - 20-30 - 30-40 - 40-50 lWhline Frequency - 10 - 9 - 8 - 17 - 6 Whline lendarray

Modal Class is 60 80 Mode=I+(f_1 f_0/2f_1 f_0 f_2)×h =30+17 8/34 8 6×10 = 34.5 ...

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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.
$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 10 & 9 & 8 & 17 & 6 \end{matrix}$

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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

=30+ $\frac{17 - 8}{34 - 8 - 6}$ $\times$ 10 = 34.5

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Find the mode of the following data. Class interval0−1010−2020−3030−4040−50Frequency1098176

Modal Class is 60-80 Mode=I+(f1−f02f1−f0−f2)×h =30+17−834−8−6×10 = 34.5

Find the mode of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 10 & 9 & 8 & 17 & 6 \end{matrix}$

Modal Class is 60-80

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

=30+ $\frac{17 - 8}{34 - 8 - 6}$ $\times$ 10 = 34.5