Question

Find the third quartile Q3 of the list of 24 sorted values shown below.

30 31 31 37 38 38 39 39 42 42 43 46 47 48 50 52 54 57 61 63 68 69 76 79
The third quartile Q3 is
(Type an integer or a decimal.)

Answer 1

60

Explanation:

The computation of the third quartile is given below:

The third quartile Q3 is

= 3(n + 1)÷ 4

= 3 (24 + 1) ÷ 4

= 75 ÷ 4

= 18.75th term

Now the 18.75th term is

= 18th term + 0.75 term

= 57 + (19 term - 18term)

= 57 + 0.75 (61 - 57)

= 57 + 0.75 (4)

= 60