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 the formula for IQR

The inter - quartile range (IQR) is calculated as \(IQR = Q_{3}-Q_{1}\).

Step2: Substitute the given values

We are given \(Q_{1} = 3.3\) and \(Q_{3}=4.5\). Then \(IQR=4.5 - 3.3\).

Step3: Calculate the result

\(4.5-3.3 = 1.2\)

Answer:

1.2 (corresponding to the third option)