QUESTION IMAGE
Question
last week, the bay city bus company tracked how long their school buses took to complete their routes. this box plot shows the results. length of route (min.) what percent of the buses completed their routes in 27 to 30 minutes? %
Step1: Recall box - plot properties
In a box - plot, the box represents the inter - quartile range (IQR), which contains 50% of the data. The left edge of the box is the first quartile ($Q_1$) and the right edge is the third quartile ($Q_3$). The median is the line inside the box.
Step2: Identify quartile values from the box - plot
Assume the left - hand edge of the box is $Q_1$ and the right - hand edge is $Q_3$. If we consider the range from $Q_1$ to $Q_3$, it is from 27 to 30 minutes (by observing the box - plot).
Step3: Determine the percentage of data in the range
The inter - quartile range ($Q_3 - Q_1$) contains 50% of the data. Since the range 27 to 30 minutes represents the inter - quartile range, 50% of the buses completed their routes in 27 to 30 minutes.
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