Ex 14.3, 7 - Weights of 30 students of a class. Find median - Median

  1. Chapter 14 Class 10 Statistics
  2. Serial order wise

Transcript

Ex 14.3, 7 The distribution below gives the weights of 30 students of a class. Find the median weight of the students. Weight (in kg) Number of students Cumulative frequency 40 โˆ’ 45 2 2 45 โˆ’ 50 3 2+3=5 50 โˆ’ 55 8 5 + 8=13 55 โˆ’ 60 6 13+6=19 60 โˆ’ 65 6 19+6=25 65 โˆ’ 70 3 25+3=28 70 โˆ’ 75 2 28+2=30 Median = l + (๐‘›/2 โˆ’๐‘๐‘“)/๐‘“ ร— h n = โˆ‘โ–’๐‘“๐‘– ๐‘›/2 = 30/2 = 15 โˆด 55 โ€“ 60 is the median class l = lower limit of median class= 55 h = class-interval= 45 โ€“ 40 = 5 cf = cumulative frequency of the class before median class=13 f = frequency of the median class =6 Median = l + (๐‘›/2 โˆ’๐‘๐‘“)/๐‘“ ร— h = 55 + (15 โˆ’13)/6 ร— 5 = 55 + 2/6 ร— 5 = 55 + 1.67 = 56.67 So, median weight is 56.67 kg

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