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Question

Following information pertains to the daily income of 150 families. Calculate the arithmetic mean.

Income (in Rs)

Number of families

More than 75

150

More than 85

140

More than 95

115

More than 105

95

More than 115

70

More than 125

60

More than 135

40

More than 145

25

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Solution

Income

No. of families

Frequency

Mid Value

fm

Class Interval

(CF)

(f)

(m)

75 – 85

150

150 – 140 = 10

80

800

85 – 95

140

140 – 115 = 25

90

2250

95 – 105

115

115 – 95 = 20

100

2000

105 – 115

95

95 – 70 = 25

110

2750

115 – 125

70

70 – 60 = 10

120

1200

125 – 135

60

60 – 40 = 20

130

2600

135 – 145

40

40 – 25 = 15

140

2100

145 – 155

25

25

150

3750

Total

= Rs 116.33


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