Problem

destion 2 of 10
10 Points
Find the interquartile range of the data set that consists of $8,18,4,2,3,7,11,13,5,1$.
A. 3
B. 8
C. 6
D. 11
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Answer

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Answer

Final Answer: The interquartile range of the data set is \(\boxed{7}\).

Steps

Step 1 :Sort the data in ascending order: [1, 2, 3, 4, 5, 7, 8, 11, 13, 18].

Step 2 :Find the first quartile (Q1), which is 3.25.

Step 3 :Find the third quartile (Q3), which is 10.25.

Step 4 :Calculate the interquartile range (IQR) by subtracting Q1 from Q3: \(10.25 - 3.25 = 7.0\).

Step 5 :Final Answer: The interquartile range of the data set is \(\boxed{7}\).

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