Ex 14.3, 1 - Monthly consumption of electricity of 68  - Ex 14.3

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  1. Chapter 14 Class 10 Statistics
  2. Serial order wise
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Ex 14.3, 1 The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them. Monthly consumption Number of consumers 65 – 85 4 85 – 105 5 105 – 125 13 125 – 145 20 145 – 165 14 165 – 185 8 185 – 205 4 Mode = l + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h Modal class = Interval with highest frequency = 125 – 145 where l = lower limit of modal class = 125 h = class-interval = 85 – 65 = 20 f1 = frequency of the modal class = 20 f0 = frequency of class before modal class = 13 f2 = frequency of class after modal class = 14 Mode = l + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h = 125 + (34 −22)/20 × 20 = 125 + 12/20 × 20 = 125 + 12 = 137

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