Question 2:
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 verify the result by using the formula.
Answer:
The given cumulative frequency distributions of less than type are
Taking upper class limits on x-axis and their respective cumulative frequencies on y – axis, its ogive can be drawn as follows.
Here, n = 35
so, n/2 = 17.5
Mark the point A whose ordinate is 17.5 and its x-coordinate is 46.5. Therefore, median of this data is 46.5.
It can be observed that the difference between two consecutive upper class limits is 2.The class marks with their respective frequencies are obtained as below.
The cumulative frequency just greater than 
is 28, belonging to class interval 46 − 48.
Median class = 46 − 48
Lower class limit (l) of median class = 46
Frequency (f) of median class = 14
Cumulative frequency (cf) of class preceding median class = 14
Class size (h) = 2
Therefore, median of this data is 46.5.
Hence, the value of median is verified.
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