Question

the favorite numbers of seven people are listed below.
9, 28, 16, 2, 33, 6, 10
what is the interquartile range of the numbers?
a. 15
b. 31
c. 22
d. 1

Explanation:

Step1: Sort the data set

$2, 6, 9, 10, 16, 28, 33$

Step2: Find median (Q2)

Median = 10 (4th value)

Step3: Find Q1 (lower median)

Lower half: $2, 6, 9$; Q1 = 6

Step4: Find Q3 (upper median)

Upper half: $16, 28, 33$; Q3 = 28

Step5: Calculate interquartile range

$\text{IQR} = Q3 - Q1 = 28 - 6$

Answer:

C. 22