QUESTION IMAGE
Question
the boxplot below shows salaries for actuaries and cpas. latasha makes the first quartile salary for an actuary. aaron makes the third quartile salary for a cpa. who makes more money? aaron latasha how much more? $
Step1: Identify quartile values
From the box - plot:
- For Actuaries (first quartile \(Q_1\) for Actuary): Let's assume the first quartile value for Actuary is \(Q_{1A}\). Looking at the Actuary box - plot, \(Q_{1A}=55\) (in thousands of dollars).
- For CPAs (third quartile \(Q_3\) for CPA): Let's assume the third quartile value for CPA is \(Q_{3C}\). Looking at the CPA box - plot, \(Q_{3C}=75\) (in thousands of dollars).
Step2: Calculate the difference
The difference in their salaries \(d=Q_{3C}-Q_{1A}\)
$$d = 75 - 55$$
$$d=20$$
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Aaron makes more money. The amount more is \(\$20000\)