The following frequency distribution gives the monthly consumption of electricity of the consumers of a locality. Find the median, mean and mode of the data and compare them.
Monthly consumptipon(in units): 65-85 85-105 105-125 125-145 145-165 165-185 185-205
No.of consumers: 4 5 13 20 14 8 4
Answers
Mean = 137.06 , Median = 137 , Mode = 135.77
Step-by-step explanation:
Monthly
consumption Mean f cf A =(mean - 135)/20 A*f
65-85 75 4 4 -3 -12
85-105 95 5 9 -2 -10
105-125 115 13 22 -1 -13
125-145 135 20 42 0 0
145-165 155 14 56 1 14
165-185 175 8 64 2 16
185-205 195 4 68 3 12
Total 68 7
Mean = 135 + 20 *(7)/68
= 135 + 2.06
= 137.06
Median = 125 + 20 * (34 - 22)/20
= 125 + 12
= 137
Mode = 125 + 20 * ( 20 - 13)/(20 - 13 + 20 - 14)
= 125 + 20 * 7 /13
= 125 + 10.77
= 135.77
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