Question

Draw more than cumulative frequency and find median:

40- 44 44-48 48-52 52-56 56-60 60-64 64-68
7 12 33 47 20 11 5

Answer 1

cumulative frequency is as follows

median = 53 approx

•Observations : 40-44 44-48 48-52

•52-56 56-60 60-64 64-68

•frequency : 7 12 33 47 20 11 5

•More than : 40 44 48 52 56 60 64

•More than cumulative frequency:

135 128 116 83 36 16 5

• median is observation corresponding to n/2

• where n is Cumulative frequency.

• n/2 = 135/2

• median will be avg. of observation corresponding to 67&68

• From graph

median = 53 approx

Answer 2

Median ≈ 53.3

Step-by-step explanation:

Class        f                      cf

40- 44       7                  135          More than 40

44-48        12                 128           More than 44

48-52        33                116            More than 48

52-56        47                 83           More than 52  

56-60        20                36            More than 56

60-64        11                  16           More than 60

64-68         5                  5            More than 64

Median ≈ 53.3

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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