I can help you with the problem shown in the image. Let's go step by step:

Given Data

The data set provided is: $52, 52, 53, 55, 56, 59, 60, 61, 65, 66, 67$

Part (a) - Finding $Q_1$ and $Q_3$

• $Q_1$ is the lower quartile, which is the median of the lower half of the data.
• $Q_3$ is the upper quartile, which is the median of the upper half of the data.

To calculate these:

• First, arrange the data in ascending order (