Question

finding the interquartile range
which statement correctly finds the interquartile range for the set of data represented by the box plot?
11 - 6 = 5
6 - 1 = 5
11 - 1 = 10
14 - 1 = 13

Explanation:

Step1: Recall the formula for inter - quartile range

The inter - quartile range (IQR) is given by \(IQR = Q_{3}-Q_{1}\), where \(Q_{1}\) is the first quartile and \(Q_{3}\) is the third quartile.

Step2: Identify \(Q_{1}\) and \(Q_{3}\) from the box - plot

From the box - plot, \(Q_{1}=6\) and \(Q_{3}=11\).

Step3: Calculate the inter - quartile range

Substitute the values of \(Q_{1}\) and \(Q_{3}\) into the formula: \(IQR=11 - 6\).

Answer:

\(11-6 = 5\)