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Ex 13.2, 1 - Chapter 15 Class 11 Statistics - NCERT Find the mean and variance for the data 6 , 7, 10, 12, 13, 4, 8, 12 xi x_i-x ̅ (x_i-x ̅ )^2 6 7 10 12 13 4 8 12 6 – 9 = –3 7 – 9 = –2 10 – 9 = 1 12 – 9 = 3 13 – 9 = 4 4 – 9 = –5 8 – 9 = –1 12 – 9 = 3 9 4 1 9 16 25 1 9 ∑▒(𝑥_𝑖−𝑥 ̅ )^2 = 74 Mean = (𝑆𝑢𝑚 𝑜𝑓 𝑜𝑏𝑠𝑒𝑟𝑣𝑎𝑡𝑖𝑜𝑛𝑠)/(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑏𝑠𝑒𝑟𝑣𝑎𝑡𝑖𝑜𝑛𝑠) = (6 + 7 + 10 + 12 + 13 + 4 + 8 + 12)/8 = 72/8 = 9 Variance = (∑▒(𝑥_𝑖 − 𝑥 ̅ )^2 )/𝑛 = 74/8 =𝟗.𝟐𝟓

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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 and Computer Science at Teachoo