Question

the five number summary of a data set was found to be: 45, 48, 54, 64, 69 what is the interquartile range? 46 × submit question

Explanation:

Step1: Identify quartiles

In a five - number summary, the first quartile ($Q_1$) is the second value, and the third quartile ($Q_3$) is the fourth value. Here, $Q_1 = 48$ and $Q_3=64$.

Step2: Calculate inter - quartile range

The inter - quartile range (IQR) is given by $IQR = Q_3 - Q_1$. So, $IQR=64 - 48$.
$IQR = 16$

Answer:

16