Construct class intervals and frequencies for the following distribution table. Also draw the ogive curves for the same.
Marks obtained Less than $5$ Less than $10$ Less than $15$ Less than $20$ Less than $25$
No of students $2$ $8$ $18$ $27$ $35$

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Solution

$\begin{matrix} M a r k s o b t a i n e d & N o . o f S t u d e n t & C l a s s i n t e u a l & F r e q u e n c y L e s s t h a n 5 & 2 & 0 - 5 & 2 L e s s t h a n 10 & 8 & 5 - 10 & 6 L e s s t h a n 15 & 18 & 10 - 15 & 10 L e s s t h a n 20 & 27 & 15 - 20 & 9 L e s s t h a n 25 & 35 & 20 - 25 & 8 \end{matrix}$

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Marks Obtained	Less than 5	Less than 10	Less than 15	Less than 20	Less than 25
No. of Students (Cumulative)	4	6	10	13	17

Height	Less than $7$	Less than $14$	Less than $21$	Less than $28$	Less than $35$	Less than $42$	Less than $49$	Less than $56$
No. of trees	$25$	$45$	$95$	$140$	$235$	$275$	$320$	$360$

Mark	Cumulative Frequency
Less than 5 Less than 15 Less than 25 Less than 35 Less than 45 Less than 55 Less than 65 Less than 75	0 3 5 15 44 70 91 106

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Marks obtained	Less than $5$	Less than $10$	Less than $15$	Less than $20$	Less than $25$
No of students	$2$	$8$	$18$	$27$	$35$