Question

fiona recorded the age of people who left the library. she used the data to create the box and whisker plot below. use the box and whisker plot to answer the questions.
50% of the people who left the library were between the ages of 25 and
the youngest person who left the library was
75% of the people were less than years old.
75% of the people were older than years old.

Explanation:

Step1: Analyze the box - and - whisker plot for the first question

In a box - and - whisker plot, the box represents the inter - quartile range (IQR), which contains 50% of the data. The left - hand side of the box is \(Q_1\) (first quartile) and the right - hand side is \(Q_3\) (third quartile). If \(Q_1 = 25\), we need to find \(Q_3\). Looking at the scale of the plot, \(Q_3=40\).

Step2: Find the minimum value (youngest person)

The left - most end of the whisker (or the plot, if there are no outliers) represents the minimum value. Looking at the scale of the plot, the minimum value is \(10\).

Step3: Determine the value for the 75% less - than statement

The third quartile (\(Q_3\)) represents the value below which 75% of the data lies. From the plot, \(Q_3 = 40\).

Step4: Determine the value for the 75% older - than statement

The first quartile (\(Q_1\)) represents the value above which 75% of the data lies. From the plot, \(Q_1=25\).

Answer:

1. \(40\)
2. \(10\)
3. \(40\)
4. \(25\)