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…

Explanation:

Step1: Arrange data in ascending order

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

Step2: Find the median (Q2)

Since there are 8 data - points, the median is the average of the 4th and 5th values. $Q2=\frac{16 + 16}{2}=16$

Step3: Find Q1

The lower half of the data is $8, 8, 12, 16$. The median of the lower half (Q1) is the average of the 2nd and 3rd values. $Q1=\frac{8 + 12}{2}=10$

Step4: Find Q3

The upper half of the data is $16, 18, 20, 20$. The median of the upper half (Q3) is the average of the 2nd and 3rd values. $Q3=\frac{18+20}{2}=19$

Step5: Calculate the inter - quartile range (IQR)

$IQR = Q3 - Q1=19 - 10 = 9$

Answer:

9