Q5 of 69 Page 7

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.


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



The cumulative Frequency just greater than 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, , we have



= 15 + 2.5


= 17.5


So, the median profit is Rs. 17.5


More from this chapter

All 69 →
2

Draw 'more than' ogive of the following distribution:

 3

Draw a less than type cumulative frequency curve for the following data and from the graph find the median:

 4

Convert the following distribution into 'more than' frequency distribution and draw more than' ogive. Also find the median from it.

 6

The following table gives the distribution of the monthly income of 600 families in a certain city:


Draw a 'less than' and 'more than' ogive curve for the above data on the same graph and from these find the median.