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------------------------------------------------ What is the interquartile range for the data set?

\[ 89, 91, 95, 112, 118, 83, 85, 104, 118, 125, 134, 138 \]

Answer :

Final answer:

The interquartile range for the given data set is 29.

Explanation:

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). To find the IQR, we first need to arrange the data set in ascending order: 83, 85, 89, 91, 95, 104, 112, 118, 118, 125, 134, 138. The first quartile (Q1) is the median of the lower half of the data, which is 89. The third quartile (Q3) is the median of the upper half of the data, which is 118. Therefore, the IQR is calculated as:

IQR = Q3 - Q1 = 118 - 89 = 29.

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