Calculate median value of the following data-set using graphic technique:

Size 0−10 10−20 20−30 30−40 40−50 50−60

Frequency 3 10 20 7 6 4

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Solution

Size Cumulative Frequency

Less than 10
Less than 20
Less than 30
Less than 40
Less than 50
Less than 60 3
3 + 10 = 13
13 + 20 = 33
33 + 7 = 40
40 + 6 = 46
46 + 4 = 50

So, median is 26.

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X	Below 10	10−20	20−30	30−40	40−50	50 and Above
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Frequency	3	6	8	15	10	8

Classes	0−10	10−20	20−30	30−40	40−50	50−60
Frequencies	4	15	10	7	3	1

Class	0−10	10−20	20−30	30−40	40−50	50−60	60−70
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Class	0-10	10-20	20-30	30-40	40-50	50-60
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Size	0−10	10−20	20−30	30−40	40−50	50−60
Frequency	3	10	20	7	6	4

Size	Cumulative Frequency
Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60	3 3 + 10 = 13 13 + 20 = 33 33 + 7 = 40 40 + 6 = 46 46 + 4 = 50