Question

warmup 9/11
henderson class
suburban class
the histograms below display the number of cans of food donated by students in mrs. henderson’s class and the suburban class at a school. which statement is true?
options a - d partially visible
warmup 9/12
two different companies sample the ages of their employees.
which company has the greatest range of ages in the middle 50% of the population?
box plots for company a, b, c, d
turn me in on friday! do not leave me in your folder!

Explanation:

To determine which company has the greatest range of ages in the middle 50% (interquartile range, IQR) of the population, we analyze the box - and - whisker plots:

Step 1: Recall the formula for IQR

The interquartile range is calculated as \(IQR = Q_3 - Q_1\), where \(Q_3\) is the third quartile (the value at the 75th percentile) and \(Q_1\) is the first quartile (the value at the 25th percentile). The length of the box in a box - and - whisker plot represents the \(IQR\) (the range of the middle 50% of the data).

Step 2: Analyze the box lengths

• For Company A: Visually, the box (representing the middle 50% of data) is relatively long.
• For Company B: The box is shorter than that of Company A.
• For Company C: The box is the shortest among the four companies.
• For Company D: The box is shorter than that of Company A.

By comparing the lengths of the boxes (which correspond to the \(IQR\)) of the four companies, we can see that Company A has the longest box, meaning it has the greatest \(IQR\) (the greatest range of ages in the middle 50% of the population).

Answer:

Company A