The boxplot below shows salaries for CPAS and Actuaries in a town. СРА Actuary 30 40 50 60 70 80 90 100 Salary (thousands of S) If a person is making the third quartile salary for a CPA, they are making less than % of Actuaries.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### Boxplot Analysis: Salaries of CPAs and Actuaries
The boxplot below illustrates the salary ranges for CPAs and Actuaries in a specific town.
#### Boxplot Explanation
- **CPAs:**
- **Minimum Salary:** Around $40,000
- **First Quartile (Q1):** Around $50,000
- **Median (Q2):** Around $65,000
- **Third Quartile (Q3):** Around $80,000
- **Maximum Salary:** Around $90,000
- **Actuaries:**
- **Minimum Salary:** Around $35,000
- **First Quartile (Q1):** Around $65,000
- **Median (Q2):** Around $75,000
- **Third Quartile (Q3):** Around $85,000
- **Maximum Salary:** Around $100,000
The boxplots show the distribution of salaries by dividing them into quartiles. Each box represents the interquartile range (IQR), which contains the middle 50% of the data. The lines extending from the boxes (whiskers) indicate variability outside the upper and lower quartiles and any potential outliers.
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### Salary Comparison Activity
**Question:** If a person is making the third quartile salary for a CPA, they are making less than what percentage of Actuaries?
**Answer Box:** [Insert your answer here]
To solve this, note that the third quartile (Q3) salary for a CPA is around $80,000. Then, compare this with the salary distribution of Actuaries to find the percentage below which this salary falls.
#### Solution:
$80,000 is compared against the boxplot of Actuary salaries. Since the third quartile for Actuaries is $85,000, a salary of $80,000 is less than the third quartile salary for Actuaries.
Thus, individuals earning the third quartile salary for CPAs make less than:
\[ \boxed{75} \] % of Actuaries.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec37aac0-7d29-4e20-aa79-8267bb27a4fc%2F3e0cddab-d101-4baa-b12a-022a6e28526a%2F4f7fdvf_processed.png&w=3840&q=75)
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