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What is the interquartile range (IQR) of the box plot shown below?

A box plot is shown. The minimum value is 11. The first quartile is at 13. The median is at 15. The third quartile is at 17. And the maximum value is 19.
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1 answer

To calculate the interquartile range (IQR) of a box plot, you need to find the difference between the third quartile (Q3) and the first quartile (Q1).

From the information provided:

  • Q1 (first quartile) = 13
  • Q3 (third quartile) = 17

The formula for the interquartile range is:

\[ \text{IQR} = Q3 - Q1 \]

Substituting the values:

\[ \text{IQR} = 17 - 13 = 4 \]

Therefore, the interquartile range (IQR) is 4.