Questions: Each day, for several weeks, a food bank recorded the number of people it served. The box-and-whisker plot summarizes the data.
Use the box-and-whisker plot to answer the following.
(a) What is the smallest number of people served?
(b) What is the median number of people served?
(c) What is the third quartile (Q3) of the numbers of people served?
Transcript text: Each day, for several weeks, a food bank recorded the number of people it served. The box-and-whisker plot summarizes the data.
Use the box-and-whisker plot to answer the following.
(a) What is the smallest number of people served?
(b) What is the median number of people served?
(c) What is the third quartile $\left(Q_{3}\right)$ of the numbers of people served?
Solution
Solution Steps
Step 1: Find the smallest value
The smallest value is the leftmost point on the box-and-whisker plot, which corresponds to 90.
Step 2: Find the median
The median is represented by the vertical line inside the box. In this case, the median is 105.
Step 3: Find the third quartile
The third quartile (Q3) is represented by the right edge of the box. Here, Q3 is 115.