Questions: What is the interquartile range of the data shown in the box plot?

What is the interquartile range of the data shown in the box plot?
Transcript text: What is the interquartile range of the data shown in the box plot?
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Solution

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Solution Steps

Step 1: Find the first quartile (Q1)

The first quartile (Q1) is the value at the left edge of the box. Looking at the box plot and the number line below, Q1 is 66.

Step 2: Find the third quartile (Q3)

The third quartile (Q3) is the value at the right edge of the box. Looking at the box plot and number line, Q3 is 80.

Step 3: Calculate the interquartile range (IQR)

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). IQR = Q3 - Q1 = 80 - 66 = 14

Final Answer

\\(\boxed{14}\\)

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