Question

1. which quarter of the data has the largest spread? 3. what information does the box plot show easily?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the spread of each quarter is given by the length of the corresponding part of the box and whiskers. The four quarters are: from the minimum value to the first quartile ($Q_1$), from $Q_1$ to the median ($Q_2$), from $Q_2$ to the third quartile ($Q_3$), and from $Q_3$ to the maximum value.

Step2: Analyze the box - plot

To answer question 2, measure the lengths of these four intervals for a given box - plot. The quarter with the longest length has the largest spread.
For question 3, a box - plot easily shows the minimum value, the first quartile ($Q_1$), the median ($Q_2$), the third quartile ($Q_3$), and the maximum value of a data set. It also shows the inter - quartile range (IQR = $Q_3 - Q_1$), and can give an indication of the skewness of the data.

Answer:

1. Measure the lengths of the four quarters in the box - plot to determine which has the largest spread.
2. Minimum, $Q_1$, median, $Q_3$, maximum, and IQR.