Find the mode of the following data- - Classinterval 0-10 10-20 20-30 30-40 40-50- Frequency 8 10 14 10 8- -

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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.
$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 8 & 10 & 14 & 10 & 8 \end{matrix}$

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Solution

Hint: Since the classes on the either side of the modal class have the same frequency, the mode will be the midpoint of the class interval.

Solution:

Modal Class is 20-30 with the highest frquency of 14

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

=20+ $\frac{14 - 10}{28 - 10 - 10}$ $\times$ 10=25

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Find the mode of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 8 & 10 & 14 & 10 & 8 \end{matrix}$

Q. Calculate mode from the following data:

Class Interval	0-10	10-20	20-30	30-40	40-50	50-70
Frequency	7	10	8	20	32	28

Find the median of the following data.

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

Calculate the mean and median for the following continuous frequency distribution.

$\begin{matrix} Class & f_{i} 0 - 10 & 6 10 - 20 & 8 20 - 30 & 20 30 - 40 & 25 40 - 50 & 15 50 - 60 & 10 60 - 70 & 4 \end{matrix}$

Find the median of the following data:

Class interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	Total
Frequency	$8$	$16$	$36$	$34$	$6$	$100$

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Find the mode of the following data. Class interval0−1010−2020−3030−4040−50Frequency81014108

Hint: Since the classes on the either side of the modal class have the same frequency, the mode will be the midpoint of the class interval. Solution: Modal Class is 20-30 with the highest frquency of 14 Mode=I+(f1−f02f1−f0−f2)×h =20+14−1028−10−10×10=25

Find the mode of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 8 & 10 & 14 & 10 & 8 \end{matrix}$