The ages of 10 employees in an organization are 26, 23, 27, 33, 39, 43, 41, 36, 42, 25. Find `Q_(1)`

Explanation

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"`.