The given observations , when arranged in ascending order , we have 16 , 17 , 22 , 24 , 25 , 26 , 27 , 32 , 38 , 40 .
Here , n = 10 (even )
`therefore Q_(1) = ((n)/(4))`th item = `(2(1)/(2))` th item of the data
`therefore Q_(1) = 2nd` item `+ (1)/(2) (3rd - 2nd)` item = `17 + (1)/(2) (22-17) = 17 + (5)/(2) = 19.5`
`therefore Q_(1) = 19.5`
Third quartile : `Q_(3) ` is `((3n)/(4))` th item , when n is even and `3 ((n+1)/(4))` th item when n is odd .
