Find the mode of the following data- - Class interval 0-10 10-20 20-30 30-40 40-50- Frequency 7 13 14 5 11- -

[ nbsp; nbsp; nbsp; Class interval nbsp; nbsp; amp; 0 10 a ...

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Standard IX

Mathematics

Finding Mode for Grouped Data When Class Intervals Are GivenÂ

Find the mode...

Question

Find the mode of the following data. $\begin{matrix} Class interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 7 & 13 & 14 & 5 & 11 \end{matrix}$

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Solution

$\begin{matrix} Class interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 7 & 13 & 14 & 5 & 11 \end{matrix}$ Modal Class is 20-30.

$M o d e = l + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}})$ $\times$ h

$= 20 + (\frac{14 - 13}{28 - 13 - 5}) \times 10 = 21$

Hence, mode of the given data is 21.

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Find the mode of the following data. Class interval0−1010−2020−3030−4040−50Frequency71314511

Class interval0−1010−2020−3030−4040−50Frequency71314511Modal Class is 20-30. Mode=l+(f1−f02f1−f0−f2)×h =20+(14−1328−13−5)×10=21 Hence, mode of the given data is 21.

Find the mode of the following data. $\begin{matrix} Class interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 7 & 13 & 14 & 5 & 11 \end{matrix}$