Question

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The sixth grade is holding a canned-food drive. The number of cans collected each day was 45, 21, 3, 15, 32, 97, 68, 27, 29, and 52. What is the interquartile range of cans collected each day?
Find the lower-quartile, upper-quartile, and interquartile range:

Answer 1

Lower Quartile-21
Upper Quartile-52
Interquartile Range- 31

Hope this helps !!

Answer 2

Answer: Lower Quartile= 21

Upper Quartile = 52

Interquartile range =31

Step-by-step explanation:

The given data : 45, 21, 3, 15, 32, 97, 68, 27, 29, 52.

Arrange in order ,

3, 15, 21, 27 , 29 ,32 , 45 , 52 , 68 , 97

Lower half = 3, 15, 21, 27 , 29

Upper half = 32 , 45 , 52 , 68 , 97

Lower Quartile $(Q_1)$ = Median of Lower half of data

$Q_1= 21$      [Median is the middle most term.]

Upper Quartile $(Q_2)$ = Median of Lower half of data

$Q_3= 52$   [Median is the middle most term.]

Interquartile range = $IQR= Q_3-Q_1$

$=52-21=31$