Find the mean, median and mode of the following data:

Classes: 0−20 20−40 40−60 60−80 80−100 100−120 120−140

Frequency: 6 8 10 12 6 5 3

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Solution

Consider the following data.

Class Frequency (f_i) x_i f_i x_i C.f.

0−20 6 10 60 6

20−40 8 30 240 14

40−60 10 50 500 24

60−80 12 70 840 36

80−100 6 90 540 42

100−120 5 110 550 47

120−140 3 130 390 50

Here, the maximum frequency is 12 so the modal class is 60−80.

Therefore,

Thus, the median of the data is 61.66.

Thus, the mean of the data is 62.4.

Mode

Thus, the mode of the data is 65.

Suggest Corrections

Class-interval	0 - 20	20 - 40	40 - 60	60 - 80	80 - 100	100 - 120
Frequency	10	35	52	61	38	20

Classes	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	5	10	18	30	20	12	5

Life period (in hrs)	0-20	20-40	40-60	60-80	80-100	100-120
Frequency	100	35	52	61	38	29

Interval	0-20	20-40	40-60	60-80	80-100
Frequency	6	8	12	10	6

Use of electricity (unit)	0-20	20-40	40-60	60-80	80-100	100-120
No. of families	13	50	70	100	80	17

Classes:	0−20	20−40	40−60	60−80	80−100	100−120	120−140
Frequency:	6	8	10	12	6	5	3