Question

Estimate Q1, Q3, and the IQR of the distribution.

Short answer

Q1 = $13min$ Q3 = $32min$ and IQR = $19min$

Step-by-step solution

Step 1. Given

Graph of call length (minutes) Vs cumulative frequency (%)

Step 2. Concept

A cumulative relative frequency graph can be used to depict an individual's location within a distribution or to find a specific percentile within the distribution.

Step 3. Explanation

From the above graph it is observed that, Q1 = $13min$

$$\begin{gathered} Q3=32min \\ IQR=32-13=19min \end{gathered}$$

Thus, $Q1=13minQ3=32min$ and $IQR=19min$