the electricity bills in rupees of 40 house in a locality are given below electricity bill in rupees 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100 100 - 110 110 - 120 120 - 130 number of house 2,6,5, 8,5,7,3,4
Answers
Step-by-step explanation:
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Given : The electricity bills (in Rs.) of 40 houses in a locality are given
To Find : mean and median of the above frequency distribution.
Solution:
Class Mean d=(Mean- 85)/10 f cf d.f
50-60 55 -3 2 2 -6
60-70 65 -2 6 8 -12
70-80 75 -1 5 13 -5
80-90 85 0 8 21 0
90-100 95 1 5 26 5
100-110 105 2 7 33 14
110-120 115 3 3 36 9
120-130 125 4 4 30 16
40 21
Mean = 85 + 10 * ( 21)/40
= 85 + 5.25
= 90.25
Median = 80 + 10 * (20 - 13)/8
= 80 + 8.75
= 88,75
Mode = 80 + 10 * (8 - 5)/(8 - 5 + 8 - 5)
= 80 + 5
= 85
Mode = 85
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