The following age wise chart of 300 passengers flying from Delhi to Pune is prepared by the Airlines staff

Age

Less than 10

 Less than 20

 Less than 30

 Less than 40

 Less than 50

 Less than 60

 Less than 70

 Less than 80

Number of Pessengers

14

44

82

134

184

245

287

300

Find the mean age of the passengers.

This question is similar to Example 7 Chapter 14 Class 10 - Statistics

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Transcript

Question 12 The following age wise chart of 300 passengeMaking Normal Table rs flying from Delhi to Pune is prepared by the Airlines staff Find the mean age of the passengers. Mean(𝑥 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) Where a = Assumed Mean Let h = Class interval Also, ∑▒𝒇𝒊 = 300 ∑▒𝒇𝒊𝒖𝒊 = 210 Putting values in formula Mean(𝑥 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) Where a = Assumed Mean Let h = Class interval Also, ∑▒𝒇𝒊 = 300 ∑▒𝒇𝒊𝒖𝒊 = 210 Putting values in formula Mean(𝒙 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) 𝑥 ̅ = 35 + 10 × 210/300 𝑥 ̅ = 35 + 7 𝒙 ̅ = 42 Thus, Mean age of passengers is 42 years

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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.