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 ($) 100 150 200 250 300 350 what fraction of juans shifts had total sales of $225 or more?
Answer
Explanation:
Step1: Understand box - plot properties
In a box - plot, the box represents the inter - quartile range (IQR). The left edge of the box is the first quartile ($Q_1$), the line inside the box is the median ($Q_2$), and the right edge of the box is the third quartile ($Q_3$). The whiskers extend to the minimum and maximum values.
Step2: Identify quartile values from the box - plot
From the box - plot, assume the values are such that the box starts around $150$ (approximate $Q_1$), the median is around $200$, and the box ends around $225$ (approximate $Q_3$).
Step3: Determine the proportion of data
The third quartile ($Q_3$) represents the 75th percentile of the data. That means 75% of the data is less than or equal to $Q_3$. So the proportion of data that is greater than $Q_3$ (in this case, greater than or equal to $225$) is $1 - 0.75=\frac{1}{4}$.
Answer:
$\frac{1}{4}$