Questions: What is the interquartile range of the following data set? 3,8,14,19,22,29,33,37,43,49 A. 23 B. 18 C. 26 D. 19

What is the interquartile range of the following data set? 3,8,14,19,22,29,33,37,43,49 A. 23 B. 18 C. 26 D. 19
Transcript text: Question 23 of 25 What is the interquartile range of the following data set? \[ 3,8,14,19,22,29,33,37,43,49 \] A. 23 B. 18 C. 26 D. 19
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Solution

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Solution Steps

Step 1: Sort the Data Set

The sorted data set is: [3, 8, 14, 19, 22, 29, 33, 37, 43, 49].

Step 2: Calculate Q1

The first quartile (Q1) is calculated as the median of the lower half of the data set. For our data set, Q1 is 14.

Step 3: Calculate Q3

The third quartile (Q3) is calculated as the median of the upper half of the data set. For our data set, Q3 is 37.

Step 4: Compute IQR

The interquartile range (IQR) is the difference between Q3 and Q1, which is \(IQR = Q3 - Q1 = 23\).

Final Answer:

The interquartile range (IQR) of the given data set is 23.

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