During a medical of check up of $35$ ht students of a class, their weights were recorded as follows:
Weight (in kg) 38-40 40-42 42-44 44-46 46-48 48-50 50-52
No. of students 3 2 4 5 14 4 3
Draw a less than type ogive for the above data. Hence obtain the median weight from the graph.

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Solution

$W e i g h t$ $(i n k g)$
$(x - a x i s)$ $N o . o f s t u d e n t s$
$(y - a x i s)$
Less than $38$ $0$
Less than $40$ $3$
Less than $42$ $5$
Less than $44$ $9$
Less than $46$ $14$
Less than $48$ $14$
Less than $50$ $32$
Less than $52$ $35$
$\Rightarrow$ Since $n = 35$
So, $\frac{n}{2} = \frac{35}{2} = 17.5$
We draw a line parallel to x-axis where,
Number of students $= 17.5$
Where the line intersects are equation, it is the median.
$∴$ $M e d i a n = 46.5$

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Weight (in kg)	38-40	40-42	42-44	44-46	46-48	48-50	50-52
No. of students	3	2	4	5	14	4	3

$W e i g h t$ $(i n k g)$ $(x - a x i s)$	$N o . o f s t u d e n t s$ $(y - a x i s)$
Less than $38$	$0$
Less than $40$	$3$
Less than $42$	$5$
Less than $44$	$9$
Less than $46$	$14$
Less than $48$	$14$
Less than $50$	$32$
Less than $52$	$35$

During a medical of check up of 35ht students of a class, their weights were recorded as follows:Weight (in kg)38-4040-4242-4444-4646-4848-5050-52No. of students32451443Draw a less than type ogive for the above data. Hence obtain the median weight from the graph.

During a medical of check up of $35$ ht students of a class, their weights were recorded as follows:
Weight (in kg) 38-40 40-42 42-44 44-46 46-48 48-50 50-52
No. of students 3 2 4 5 14 4 3
Draw a less than type ogive for the above data. Hence obtain the median weight from the graph.