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- -

[ Marks amp; Number of students amp; Cumulative frequency; Below 10 amp;3=3 amp;3; ...

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Standard VII

Mathematics

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For the follo...

Question

For the following distribution, the modal class is

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

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Solution

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

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

$∴$ The modal class is 30 - 40

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Q. Question 10
The following table shows the cumulative frequency distribution of marks of 800 students in an examination.

\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 & 10 B e l o w 20 & 50 B e l o w 30 & 130 B e l o w 40 & 270 B e l o w 50 & 440 B e l o w 60 & 570 B e l o w 70 & 670 B e l o w 80 & 740 B e l o w 90 & 780 B e l o w 100 & 800 \end{matrix}

Construct a frequency distribution table for the data above.

Q. Write the frequency distribution table for the following data.

Marks	Below $10$	Below $15$	Below $20$	Below $30$	Below $35$	Below $40$
Number of students	$0$	$15$	$20$	$30$	$35$	$40$

Q. Question 14
Given below is a cumulative frequency distribution showing the marks secured by 50 students of a class

\begin{matrix} M a r k s & B e l o w 20 & B e l o w 40 & B e l o w 60 & B e l o w 80 & B e l o w 100 N u m b e r o f s t u d e n t s & 17 & 22 & 29 & 37 & 50 \end{matrix}

Form the frequecy distribution table for the data.

Q. For the following distribution:

Marks	Below $10$	Below $20$	Below $30$	Below $40$	Below $50$	Below $60$
No. of students	$3$	$12$	$27$	$57$	$75$	$80$

Find the median class.

The following table gives the marks obtained by the students of a class in an exam out of 50.

$\begin{matrix} Marks & No. of Students B e l o w 10 & 5 B e l o w 20 & 10 B e l o w 30 & 23 B e l o w 40 & 31 B e l o w 50 & 40 \end{matrix}$

(i) Convert the cumulative frequency distribution into a regular frequency distribution.

(ii) Find the mean. [3 MARKS]

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

MarksNumber of studentsCumulative frequencyBelow 103=3310−20(12−3)=91220−30(27−12)=152730−40(57−27)=305740−50(75−57)=187550−60(80−75)=580 Here, we see that the highest frequency is 30,which lies in the interval 30 - 40 ∴The modal class is 30 - 40

For the following distribution, the modal class is

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