Ex 14.2

Chapter 14 Class 10 Statistics
Serial order wise

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### 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 (𝑥 ̅) = (∑▒𝑓𝑖𝑥𝑖)/(∑▒𝑓𝑖) 𝑥 ̅ = 2830/80 𝑥 ̅ = 35.375 Thus, Mean is 35.375 Finding Mode Mode = l + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h Modal class = Interval with highest frequency = 35 – 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 + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h = 35 + (23 −21)/(2(23)−21 −14) × 10 = 35 + 2/(46 −35) × 10 = 35 + 2/11 × 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.