Question

bella works at a popular clothing store. last winter, her manager asked her to track the stores sweater sales. this box plot shows the results. price of sweaters sold ($) what fraction of the sweaters cost $50 or less?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR), with the left edge of the box being the first quartile ($Q_1$) and the right edge being the third quartile ($Q_3$). The line inside the box is the median. The whiskers extend to the minimum and maximum values. The value of $50$ is the first quartile ($Q_1$).

Step2: Use quartile concept for fraction

Quartiles divide the data into four equal parts. The first quartile ($Q_1$) represents the 25th percentile of the data. So the fraction of data values that are at or below $Q_1$ is $\frac{1}{4}$.

Answer:

$\frac{1}{4}$