Calculate Median from the data given below:

Class Interval 0-10 10-20 20-40 40-60 60-80 80-100

Frequency 10 8 22 10 20 10

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Solution

Class

Frequency

(f)

c.f

0 – 10

10

10

10 – 20 8 18

20 – 40

22

40

40 – 60 10 50

60 – 80

20

70

80 – 100

10
80

80

$Median class is given by the size of {(\frac{N}{2})}^{th} item, i . e size of {(\frac{80}{2})}^{th}, which is the 40^{t h} item . This corresponds to the class interval 20 - 40, so this is the median class . M = l_{1} + \frac{{(\frac{N}{2})}^{th} - c . f}{f} \times i M = 20 + \frac{40 - 18}{22} \times 20 M = 40$

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Class Interval	0-10	10-20	20-40	40-60	60-80	80-100
Frequency	10	8	22	10	20	10

Class	Frequency (f)	c.f
0 – 10	10	10
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60 – 80	20	70
80 – 100	10	80
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Calculate Median from the data given below: Class Interval 0-10 10-20 20-40 40-60 60-80 80-100 Frequency 10 8 22 10 20 10

Calculate Median from the data given below:

Class Interval 0-10 10-20 20-40 40-60 60-80 80-100

Frequency 10 8 22 10 20 10