Question

Find the first quartile and third quartile for the given observations.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Answer 1

Given data are arranged in ascending order 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22.

Here the number of observations is n = 11

Q₁ = Size of `(("N" + 1)/4)^"th"` value

= Size of `((11 + 1)/4)^"th"` value

= Size of 3^rd value

Q₁ = 6

Q₃ = Size of `((3("N" + 1))/4)^"th"` value

= Size of `((3 xx 12)/4)^"th"` value

= Size of 9^th value

Q₃ = 18