Ex 14.2, 3 - Distribution of total monthly household expenditure

Ex 14.2, 3 - Chapter 14 Class 10 Statistics - Part 2
Ex 14.2, 3 - Chapter 14 Class 10 Statistics - Part 3
Ex 14.2, 3 - Chapter 14 Class 10 Statistics - Part 4
Ex 14.2, 3 - Chapter 14 Class 10 Statistics - Part 5
Ex 14.2, 3 - Chapter 14 Class 10 Statistics - Part 6

  1. Chapter 14 Class 10 Statistics (Term 2)
  2. Serial order wise

Transcript

Ex 14.2, 3 The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure. Finding Mode Mode = l + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) ร— h Modal class = Interval highest frequency = 1500 โ€“ 2000 where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of class before modal class f2 = frequency of class after modal class Putting values in formula Mode = 1500 + (40 โˆ’ 24)/(2(40) โˆ’ 24 โˆ’ 33) ร— 500 = 1500 + 16/(80 โˆ’ 57) ร— 500 = 1500 + 16/23 ร— 500 = 1500 + 347.826 = 1847.83 Therefore, Modal Monthly expenditure of families is Rs. 1847.83 Mean(๐‘ฅ ฬ…) = a + h ร— (โˆ‘โ–’๐’‡๐’Š๐’–๐’Š)/(โˆ‘โ–’๐’‡๐’Š) Mean(๐‘ฅ ฬ…) = a + h ร— (โˆ‘โ–’๐‘“๐‘–๐‘ข๐‘–)/(โˆ‘โ–’๐‘“๐‘–) Where a = assumed mean = 3250 h = Class interval = 500 โˆ‘โ–’๐’‡๐’Š = 200 โˆ‘โ–’๐’‡๐’Š๐’–๐’Š = โ€“235 Putting values in Formula Mean(๐‘ฅ ฬ…) = 3250 + 500 ร— (โˆ’235)/200 Mean(๐‘ฅ ฬ…) = 3250 + 5 ร— (โˆ’235)/2

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