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Question
The 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 |
Solution
|
Income Class Interval |
No. of families (CF) |
Frequency (f) |
Mid Value (m) |
fm |
|
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 |
`sumf=150` | `sumfm=17450` |
Mean `=(sumfm)/(sumf)=17450/150`
= Rs 116.33
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