Ex 14.2, 1 Class 10 Maths - NCERT Solution - The table shows ages of

Ex 14.2, 1 - Chapter 14 Class 10 Statistics - Part 2
Ex 14.2, 1 - Chapter 14 Class 10 Statistics - Part 3
Ex 14.2, 1 - Chapter 14 Class 10 Statistics - Part 4

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

Transcript

Ex 14.2, 1 The following table shows the ages of the patients admitted in a hospital during a year: Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency. Finding Mean first Mean (๐‘ฅ ฬ…) = (โˆ‘โ–’๐‘“๐‘–๐‘ฅ๐‘–)/(โˆ‘โ–’๐‘“๐‘–) ๐‘ฅ ฬ… = 2830/80 ๐‘ฅ ฬ… = 35.375 Thus, Mean is 35.375 Finding Mode Mode = l + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) ร— h Modal class = Interval with highest frequency = 35 โ€“ 45 Where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of the class before modal class f2 = frequency of the class after modal class Putting values in equation Mode = l + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) ร— h = 35 + (23 โˆ’21)/(2(23)โˆ’21 โˆ’14) ร— 10 = 35 + 2/(46 โˆ’35) ร— 10 = 35 + 2/11 ร— 10 = 35 + 1.8 = 36.8 Thus, Maximum number of patients admitted in the hospital are of the age 36.8 years (Mode), while Average age of a patient admitted to the hospital is 35.37 years (Mean)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.