Find the mode of the following data- nbsp- nbsp- nbsp- Class interval nbsp- nbsp- amp- 0-10 amp- 10-20 amp- 20-30 amp- 30-40 amp- 40-50 nbsp- nbsp- nbsp- nbsp- Frequency amp- 7 nbsp- amp- 13 nbsp- amp- 14 nbsp- nbsp- nbsp- amp- 5 nbsp- amp- 11 nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- -20302125

The correct option is C 21[ nbsp; nbsp; nbsp; Class interval nbsp; nbsp; ...

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Byju's Answer

Standard VIII

Mathematics

Finding Mode for Grouped Data When Class Intervals Are Given

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

The correct option is D 21
$\begin{matrix} Class interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 7 & 13 & 14 & 5 & 11 \end{matrix}$ 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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Similar questions

Q. Find the mean, mode and median of the following data:

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	5	10	18	30	20	12	5

Find the median of the following data:

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

Q. 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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$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 F r e q u e n c y & 16 & 20 & 32 & 48 & 30 & 14 \end{matrix}$

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

The correct option is D 21Class 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. $\begin{matrix} Class interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 7 & 13 & 14 & 5 & 11 \end{matrix}$