Question

the sizes of cans on a shelf are listed below.
18 oz, 8 oz, 16 oz, 20 oz, 20 oz, 16 oz, 12 oz, 8 oz
what is the interquartile range of this list?
○ 2
○ 6
○ 9
○ 12

Explanation:

Step1: Sort the data set

$8, 8, 12, 16, 16, 18, 20, 20$

Step2: Find median (Q2)

Split data into lower/upper halves:
Lower half: $8, 8, 12, 16$
Upper half: $16, 18, 20, 20$

Step3: Calculate Q1 (lower median)

Q1 = $\frac{8 + 12}{2} = 10$

Step4: Calculate Q3 (upper median)

Q3 = $\frac{18 + 20}{2} = 19$

Step5: Compute interquartile range

Interquartile Range = $Q3 - Q1$
$19 - 10 = 9$

Answer:

9