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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:

2 Answers

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

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User Bgplaya
by
6.6k points
5 votes

Answer: Lower Quartile= 21

Upper Quartile = 52

Interquartile range =31

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

User Benn Sandoval
by
6.1k points
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