Question

WITH SOLUTION

Given the data set: 188, 192, 316, 362, 437, 589

a. Determine the three quartiles of the data set.

b. Determine D⁴ and D⁹ of the data set.​

Answer 1

Q1 =
1/4 x (n+1)
1/4 x 7
1.75
1st and the 2nd number
188+192/2
Q1= 190

Q2 =
1/2 x (n+1)
1/2 x 7
3.5
3rd and 4th number
316+362/2
Q2 = 339

Q3 =
3/4 x (n+1)
3/4 x 7
5.25
5th and 6th number
437+589/2
Q3 = 513

Q1 = 190, Q2 = 339, Q3 = 513