Question

which box plot has an iqr of 10?

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is calculated as $IQR = Q_3 - Q_1$, where $Q_3$ is the third - quartile and $Q_1$ is the first - quartile. On a box - plot, the left - hand side of the box is $Q_1$ and the right - hand side of the box is $Q_3$.

Step2: Check each box - plot

For each box - plot, identify the values of $Q_1$ and $Q_3$ from the number line and calculate $Q_3 - Q_1$.
If $Q_3=11$ and $Q_1 = 1$, then $IQR=11 - 1=10$. We need to find the box - plot where the left - hand side of the box is at 1 and the right - hand side of the box is at 11. Examining the box - plots visually, we look for the box that spans from 1 to 11 on the number line.

Answer:

The box - plot where the left - hand side of the box is at 1 and the right - hand side of the box is at 11. (Since no specific identifiers for the box - plots are given like A, B, C, D, etc., this is a descriptive answer based on the values on the number line).