Question

Compute the median for the following cumulative frequency distribution less than 20 30 40 50 60 70 80 90 100 0 4 16 30 46 66 82 92 100

Answer 1

Given : cumulative frequency distribution less than

20 30 40 50 60 70 80 90 100

0   4   16  30 46  66 82 92 100

To find : Median

Solution:

                                  cf             f              

Less than 20             0             0             0 - 20

Less than 30             4             4            20 - 30

Less than 40             16           12            30 - 40

Less than 50             30          14           40 - 50

Less than 60             46           16           50 - 60

Less than 70             66          20            60 - 70

Less than 80             82          16            70 - 80

Less than 90             92           10            80 - 90

Less than 100            100          8            90 - 100

100/2  = 50  lies between   60 - 70

Median = 60  +  10 x(50 - 46)/20

= 60 + 2

= 62

median = 62

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Answer 2

Step-by-step explanation:

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