Check sibling questions

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

Age

Less than 10

Β Less than 20

Β Less than 30

Β Less than 40

Β Less than 50

Β Less than 60

Β Less than 70

Β 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(π‘₯ Μ…) = a + h Γ— (βˆ‘β–’π’‡π’Šπ’–π’Š)/(βˆ‘β–’π’‡π’Š) Where a = Assumed Mean Let h = Class interval Also, βˆ‘β–’π’‡π’Š = 300 βˆ‘β–’π’‡π’Šπ’–π’Š = 210 Putting values in formula Mean(π‘₯ Μ…) = a + h Γ— (βˆ‘β–’π’‡π’Šπ’–π’Š)/(βˆ‘β–’π’‡π’Š) Where a = Assumed Mean Let h = Class interval Also, βˆ‘β–’π’‡π’Š = 300 βˆ‘β–’π’‡π’Šπ’–π’Š = 210 Putting values in formula Mean(𝒙 Μ…) = a + h Γ— (βˆ‘β–’π’‡π’Šπ’–π’Š)/(βˆ‘β–’π’‡π’Š) π‘₯ Μ… = 35 + 10 Γ— 210/300 π‘₯ Μ… = 35 + 7 𝒙 Μ… = 42 Thus, Mean age of passengers is 42 years

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.