Draw a less than type Ogive for the following frequency table
C.I F.
15-20 13
20-25 18
25-30 31
30-35 25
35-40 15
40-45 5

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Solution

The cumulative frequency distribution table can be obtained as:

$C . I (L e s s t h a n)$ $F r e q u e n c y$
Less than $20$ $13$
Less than $25$ $31$
Less than $30$ $62$
Less than $35$ $87$
Less than $40$ $102$
Less than $45$ $107$

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Similar questions

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

\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 2 20 - 30 & 4 30 - 40 & 6 40 - 50 & 8 50 - 60 & 10 \end{matrix}

\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 5 - 10 & 3 10 - 15 & 4 15 - 20 & 6 20 - 25 & 9 25 - 30 & 7 30 - 35 & 1 \end{matrix}

Marks	1 - 10	11 - 20	21 - 30	31 - 40	41 - 50	51 - 60	61 - 70	71 - 80
Frequency	3	8	12	14	10	6	5	2

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