# During the medical check-up of 35 students of a class, their weights were recorded as follows:Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph and verify the result by using the formula.

Less than method:

It is given that on x-axis upper class limit and on y-axis cumulative frequency. We plot the points: (38,0); (40,3); (42,5); (49,9); (46,14); (48,28); (50,32); (52,35)

More than method:

X -axis lower class limit and y-axis cumulative frequency, we plot the points: (38,35); (40,32); (42,30); (44,26); (46,21); (48,7); (50,3)

We find the two types of cumulative frequency curves intersect at point P.

The value of M is 46.5 kg

Verification,

We have

Now, N = 35

Therefore, = = 17.5

The cumulative frequency is just greater than is 28 and the corresponding classes 46-48

Thus, 46-48 is the median class such that,

l = 46, f = 14, C1 = 14 and h = 2

Median = l + * h

= 46 + * 2

= 46 + = 46 + 0.5

= 46.5 kg

Hence, verified.

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