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The ages of 10 employees in an organization are 26, 23, 27, 33, 39, 43, 41, 36, 42, 25. Find `Q_(1)` |
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Answer» The given observations when arranged in ascending order, we get 23, 25, 26, 27, 33, 36, 39, 41, 42, 43. Here n = 10 (even) `" "therefore Q_(1) = ((n)/(4))"th observation"` `" " = (2(1)/(2))"th observation of the data"` `" "therefore Q_(1) = "2nd observation" +(1)/(2)(3rd -2nd)"observation"` `" " = 25 +(1)/(2)(26-25) = 25.5` `" "therefore Q_(1) = 25.5`. Third Quartile `" "therefore Q_(3) = ((3n)/(4))"th item, when n is even"` `" " = 3((n+1)/(4))"th item, when n is odd"`. |
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