Question

lucas observed his daily coffee expenses for a month. he made a box plot to visualize the data. based on the box plot of lucass daily coffee expenses, which statement is true? the majority of lucass coffee expenses were between $3 and $5 lucass median coffee expense was $5. lucas spent a maximum of $5 on coffee. the range of lucass coffee expenses was $2

Explanation:

Step1: Analyze the box - plot components

In a box - plot, the box represents the inter - quartile range (IQR) which contains 50% of the data. The first quartile (Q1) is at 3, the third quartile (Q3) is at 5. So, 50% (the majority) of the data lies between Q1 and Q3.

Step2: Check the median

The median (Q2) is at 4, not 5.

Step3: Check the maximum value

The maximum value (Max) is at 7, not 5.

Step4: Calculate the range

The range is \(Max - Min\). Here, \(Max = 7\) and \(Min=2\), so the range is \(7 - 2=5\), not 2.

Answer:

The majority of Lucas’s coffee expenses were between $3 and $5.