MATH SOLVE

4 months ago

Q:
# 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 ozWhat is the interquartile range of this list?A)2B)6C)9D)12

Accepted Solution

A:

Answer:Option C. 9Step-by-step explanation:To solve this question we will follow the following steps.1).First we will arrange the data in ascending order.8 oz, 8 oz, 12 oz, 16 oz, 16 oz, 18 oz, 20 oz, 20 oz2).Now median of this arrangement of data will be = [tex]\frac{16+16}{2}=16[/tex]Median = 163).Now lower quartile of this sequence is 8, 8, 12, 16 and the upper quartile is 16, 18, 20, 204).Median of lower quatile = [tex]\frac{8+12}{2}=\frac{20}{2}=10[/tex]5).Median of upper quartile = [tex]\frac{18+20}{2}=\frac{38}{2}=19[/tex]6). Now we will subtract median of lower quartile from upper quartile to get the interquartile range of this listInterquartile range = 19 - 10 = 9Therefore Option C) 9 is the correct option.