For the following distribution- the modal class is Marks Number of students Below 10 3 Below 20 12 Below 30 27 Below 40 57 Below 50 75 Below 60 80

The correct option is C 30 40 [ Marks amp; Number of students amp; Cumulative frequency; Below 10 amp; ...

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Standard IX

Mathematics

Mode

For the follo...

Question

For the following distribution, the modal class is

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s B e l o w 10 & 3 B e l o w 20 & 12 B e l o w 30 & 27 B e l o w 40 & 57 B e l o w 50 & 75 B e l o w 60 & 80 \end{matrix}$

10-20

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20-30

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30-40

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50-60

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Solution

The correct option is
C

30-40

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s & C u m u l a t i v e f r e q u e n c y B e l o w 10 & 3 = 3 & 3 10 - 20 & (12 - 3) = 9 & 12 20 - 30 & (27 - 12) = 15 & 27 30 - 40 & (57 - 27) = 30 & 57 40 - 50 & (75 - 57) = 18 & 75 50 - 60 & (80 - 75) = 5 & 80 \end{matrix}$

Here, we see that the highest frequency is $30$ ,which lies in the interval $30 - 40$

$∴$ The modal class is $30 - 40$
Hence , the correct answer is option (C).

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117

Similar questions

For the following distribution, the modal class is

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s B e l o w 10 & 3 B e l o w 20 & 12 B e l o w 30 & 27 B e l o w 40 & 57 B e l o w 50 & 75 B e l o w 60 & 80 \end{matrix}$

Q. Find the median from the following data:

Marks	No. of students
Below 10	12
Below 20	32
Below 30	57
Below 40	80
Below 50	92
Below 60	116
Below 70	164
Below 80	200

The following table fives the marks obtained by 80 students in a selection test:

Find the median

Find the median from the following data:
$\begin{matrix} Marks & No. of students Below 10 & 12 Below 20 & 32 Below 30 & 57 Below 40 & 80 Below 50 & 92 Below 60 & 116 Below 70 & 164 Below 80 & 200 \end{matrix}$

Q. Find the mi9ssing frequency from the followinjg table:

Marks	No. of Students
Below 10	25
Below 20	40
Below 30	60
Below 40	75
Below 50	95
Below 60	125
Below 70	190
Below 80	240

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For the following distribution, the modal class is MarksNumber of studentsBelow 103Below 2012Below 3027Below 4057Below 5075Below 6080

For the following distribution, the modal class is

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s B e l o w 10 & 3 B e l o w 20 & 12 B e l o w 30 & 27 B e l o w 40 & 57 B e l o w 50 & 75 B e l o w 60 & 80 \end{matrix}$