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
Answers
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
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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