Last updated at May 12, 2021 by Teachoo

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 (๐ฅ ฬ ) = (โโ๐๐๐ฅ๐)/(โโ๐๐) ๐ฅ ฬ = 2830/80 ๐ฅ ฬ = 35.375 Thus, Mean is 35.375 Finding Mode Mode = l + (๐1 โ๐0)/(2๐1 โ๐0 โ๐2) 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 + (๐1 โ๐0)/(2๐1 โ๐0 โ๐2) ร h = 35 + (23 โ21)/(2(23)โ21 โ14) ร 10 = 35 + 2/(46 โ35) 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.