The annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution:
Profit (in lakhs in Rs.) Number of shops(frequency)
More than oe equal to 5 30
More than oe equal to 10 28
More than oe equal to 15 16
More than oe equal to 20 14
More than oe equal to 25 10
More than oe equal to 30 7
More than oe equal to 35 3
Draw both ogives for the above data and hence obtain the median.
Answers
median = 16
Step-by-step explanation:
Profit (In lakhs in Rs) Number of shops (frequency) Frequency
More than or equal to 5 30 2
More than or equal to 10 28 12
More than or equal to 15 16 2
More than or equal to 20 14 4
More than or equal to 25 10 3
More than or equal to 30 7 4
More than or equal to 35 3 3
Profit No of shops Profits less than C.F
5-10 2 10 2
10-15 12 15 14
15-20 2 20 16
20-25 4 25 20
25-30 3 30 23
30-35 4 35 27
35-40 3 40 30
median = 16
Less than ogive
The points with the upper limits of the class are plotted on x axis and the corresponding less than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive
More than ogive
The points with the Lower limits of the class are plotted on x axis and the corresponding more than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give more than cumulative frequency curve or the More than Ogive
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