Question

the snowy slopes ski resort kept track of the amount of snow that fell each weekend during their busy season. this box plot shows the results. weekend snowfall (in.) what fraction of the time did snowy slopes get 12 inches of snow or less?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the left - hand side of the box represents the first quartile ($Q_1$), the line inside the box represents the median ($Q_2$), and the right - hand side of the box represents the third quartile ($Q_3$). The whiskers represent the minimum and maximum values. The value of 12 inches is at the first quartile ($Q_1$) of the box - plot.

Step2: Determine the fraction

The first quartile represents 25% or $\frac{1}{4}$ of the data. This means that 25% of the time, the amount of snowfall is at or below the first - quartile value. Since 12 inches is the first - quartile value, the fraction of the time that Snowy Slopes got 12 inches of snow or less is $\frac{1}{4}$.

Answer:

$\frac{1}{4}$