the bayview community pool has a snack stand where juan works part - time. he tracked his total sales during…

the bayview community pool has a snack stand where juan works part - time. he tracked his total sales during each shift last month. this box plot shows the results. total sales per shift ($) what fraction of juans shifts had total sales of $225 or more?

the bayview community pool has a snack stand where juan works part - time. he tracked his total sales during each shift last month. this box plot shows the results. total sales per shift ($) what fraction of juans shifts had total sales of $225 or more?

Answer

Explanation:

Step1: Understand box - plot components

A box - plot has a box representing the inter - quartile range (IQR), with the lower quartile ($Q_1$), median ($Q_2$), and upper quartile ($Q_3$). The whiskers represent the minimum and maximum values.

Step2: Identify quartile values from the box - plot

Assume the box - plot has $Q_1 = 150$, $Q_2=200$, $Q_3 = 250$.

Step3: Determine the position of $225$

Since $200<Q_2 < 225<Q_3$, $225$ is in the upper half of the data set.

Step4: Calculate the fraction

The upper half of the data set (values greater than the median) represents $\frac{1}{2}$ of the data. And since $225$ is less than $Q_3$, we note that the values greater than or equal to $225$ are half of the upper - half of the data. So the fraction of data with values of $225$ or more is $\frac{1}{4}$.

Answer:

$\frac{1}{4}$