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Transcript

Question 35 (B) The monthly expenditure on milk in 200 families of a Housing Society is given below Find the value of x and also find the mean expenditureGiven Total number of families = 200 Sum of frequency = 200 24 + 40 + 33 + x + 30 + 22 + 16 + 7 = 200 172 + x = 200 x = 200 − 172 x = 28 So, our table looks like Mean(𝑥 ̅) = a + h × (∑▒𝑓𝑖𝑢𝑖)/(∑▒𝑓𝑖) Where a = assumed mean = 3250 h = Class interval = 500 ∑▒𝒇𝒊 = 200 ∑▒𝒇𝒊𝒖𝒊 = –235 Putting values in Formula Mean(𝑥 ̅) = 3250 + 500 × (−235)/200 Mean(𝑥 ̅) = 3250 + 5 × (−235)/2 𝑥 ̅ = 3250 – 587.2 𝑥 ̅ = 2662.5 Therefore, Mean expenditure is Rs. 2662.5

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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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.