Question

part a
what are the first quartile, the median, and the third quartile of the data?
enter your answers in the boxes.
first quartile =
median =
third quartile =
part b
what is the interquartile range of the data? show or explain how you got your answer
enter your answer and your work or explanation in the space provided
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Explanation:

Step1: Recall the formula for inter - quartile range

The inter - quartile range (IQR) is given by the formula \(IQR = Q_3 - Q_1\), where \(Q_1\) is the first quartile and \(Q_3\) is the third quartile.

Step2: Substitute the values of \(Q_1\) and \(Q_3\)

From Part A, we know that \(Q_1 = 2\) and \(Q_3=5\).
Substitute these values into the formula: \(IQR=5 - 2\)

Step3: Calculate the result

\(5−2 = 3\)

Answer:

The inter - quartile range of the data is \(3\).