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 $0$ $15$ $20$ $30$ $35$ $40$

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Solution

$\Rightarrow$ The following table is frequency distribution table.
$C l a s s I n t e r v a l$ $F r e q u e n c y$
$5 - 10$ $0$
$10 - 15$ $15$
$15 - 20$ $20$
$20 - 30$ $30$
$30 - 35$ $35$
$35 - 40$ $40$

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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. The median class of the frequency distribution given below is _______.

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	7	$15$	$13$	$17$	$10$

Q. Given below are the cumulative frequencies showing the weights of 685 students of a school. Prepare a frequency distribution table.

Weight (in kg)	No. of students
Below 25 Below 30 Below 35 Below 40 Below 45 Below 50 Below 55 Below 60 Below 65 Below 70	0 24 78 183 294 408 543 621 674 685

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]

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.

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

$C l a s s I n t e r v a l$	$F r e q u e n c y$
$5 - 10$	$0$
$10 - 15$	$15$
$15 - 20$	$20$
$20 - 30$	$30$
$30 - 35$	$35$
$35 - 40$	$40$

Write the frequency distribution table for the following data.Marks Below 10Below 15Below 20Below 30Below 35Below 40Number of students01520303540

⇒ The following table is frequency distribution table.ClassInterval Frequency 5−10 0 10−15 15 15−20 20 20−30 30 30−35 35 35−40 40

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 $0$ $15$ $20$ $30$ $35$ $40$

$\Rightarrow$ The following table is frequency distribution table.
$C l a s s I n t e r v a l$ $F r e q u e n c y$
$5 - 10$ $0$
$10 - 15$ $15$
$15 - 20$ $20$
$20 - 30$ $30$
$30 - 35$ $35$
$35 - 40$ $40$