Answer:
The IQR (interquartile range) of the data set represented by this box plot is 22 units.
Explanation:
Each number of the data set represented as a box plot is something the numbers have individually. The lowest number there (the first number), 38, is called the minimum. The highest number there (the last number), 75, is called the maximum. The second number there, 45, is called the lower quartile. The third number there, 50, is called the median or middle quartile. The fourth number there, 67, is called the higher quartile. In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.
67 (highest quartile) - 45 (lower quartile) = 22 (interquartile range)
Therefore, the IQR (interquartile range) of the data set represented by this box plot is 22 units.