Question

question
the box plot below represents some data set. what is the interquartile range (iqr) of the data?
answer attempt 1 out of 2
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Explanation:

Step1: Recall the formula for IQR

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

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

From the box - plot, assume \(Q_{1}=75\) and \(Q_{3}=125\) (values are read based on the scale of the box - plot).

Step3: Calculate the IQR

Substitute the values into the formula: \(IQR=125 - 75\)

Answer:

\(50\)