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.
Solution:
Number of students = n =35
To draw less than type ogive, we will have to plot points (38, 0), (40, 3), (42, 5), (44, 9), (46, 14), (48, 28), (50, 32), (52, 35)
We draw horizontal line from 17.5 which meets the ogive at certain point. From this particular point, we draw vertical line which meets the x-axis at 46.5. Hence, 46.5 kg is the median
We can verify this by using formula.
Cumulative frequency greater than
is 28
So, median class = 46-48
Median
where, l = lower limit of median class = 46
n = number of observations = 35
cf = cumulative frequency of class preceding the median class = 14
f = frequency of median class = 14
h = class size (assuming class size to be equal) = 2
Median
kg
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