Question

the five - number summary for the lengths of songs, in minutes, performed by a popular music group is given below. minimum: 1.8 q1: 3.3 median: 3.8 q3: 4.5 maximum: 9.2 what is the iqr for the distribution of song lengths? 0.5 0.7 1.2 1.5

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is calculated as $IQR = Q_3 - Q_1$.

Step2: Substitute values

We are given $Q_1 = 3.3$ and $Q_3 = 4.5$. So, $IQR=4.5 - 3.3$.

Step3: Calculate result

$4.5-3.3 = 1.2$.

Answer:

1.2