Question

The annual profits earned by 30 shops of a shopping complex in a locality give the following distribution:

Draw both ogives for the data given above and hence obtain the median profit.

Answer 1

Now, taking upper-class limits on x-axis and their respective frequencies on y-axis we can draw its ogive as follows:

Now, we have n = 30

n/2 = 30/2 = 15

The cumulative Frequency just greater than n/2 is 16 then the median class is 15 – 20 such that

the lower limit (l) = 15

cumulative frequency of the class preceding 15 – 20 (cf) = 14

the frequency of the median class 15 – 20 = 2,

class size (h) = 5

Using the formula,

So, the median profit is Rs. 17.5