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?
A)2
B)6
C)9
D)12

Answer 1

c

Explanation:

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Answer 2

Option C. 9

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 oz

2).Now median of this arrangement of data will be

=
`(16+16)/(2)=16`

Median = 16

3).Now lower quartile of this sequence is 8, 8, 12, 16 and the upper quartile is 16, 18, 20, 20

4).Median of lower quatile =
`(8+12)/(2)=(20)/(2)=10`

5).Median of upper quartile =
`(18+20)/(2)=(38)/(2)=19`

6). Now we will subtract median of lower quartile from upper quartile to get the interquartile range of this list

Interquartile range = 19 - 10 = 9

Therefore Option C) 9 is the correct option.