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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Ex 13.1, 5 In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose? Since there is a gap of 1 between intervals We add Β½ to upper limit, and subtract Β½ to lower limit Now, let’s find mean Mean(π‘₯ Μ…) = a + h Γ— (βˆ‘β–’π’‡π’Šπ’–π’Š)/(βˆ‘β–’π’‡π’Š) Where a = Assumed mean h = Class interval Also, βˆ‘β–’π’‡π’Š = 400 βˆ‘β–’π’‡π’Šπ’–π’Š = 25 Putting values in formula Mean(𝒙 Μ…) = a + h Γ— (βˆ‘β–’π’‡π’Šπ’–π’Š)/(βˆ‘β–’π’‡π’Š) π‘₯ Μ… = 57 + 3 Γ— 25/400 π‘₯ Μ… = 57 + 0.1875 π‘₯ Μ… = 57.1875 𝒙 Μ… = 57.19 Thus, Mean number of boxes is 57.19 We chose this method because calculation was easier

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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.