Monica was hired to analyze the salaries of the 685 employees of a company. The company's leadership wants to ensure that people of different races and genders are not paid differently for the same work. The first step in Monica's project is to create a data display that clearly shows these data points: - the median salary - the lowest salary - the highest salary A sample of the data is shown below. \( \$ 51,745 ; \$ 54,512 ; \$ 57,322 ; \$ 57,750 ; \$ 64,820 ; \$ 67,500 ; \$ 68,448 ; \$ 72,020 ; \$ 74,485 ; \$ 81,167 \)

To analyze the salaries of the employees, we need to calculate the following data points from the provided sample: 1. **Median Salary**: The median is the middle value when the salaries are arranged in ascending order. If there is an even number of observations, the median is the average of the two middle numbers. 2. **Lowest Salary**: This is simply the smallest value in the dataset. 3. **Highest Salary**: This is the largest value in the dataset. Let's go through these calculations step by step using the provided sample data: ### Step 1: Organize the Data The provided salaries are: \[ 51,745; 54,512; 57,322; 57,750; 64,820; 67,500; 68,448; 72,020; 74,485; 81,167 \] ### Step 2: Calculate the Lowest and Highest Salaries - **Lowest Salary**: This is the first value in the sorted list. - **Highest Salary**: This is the last value in the sorted list. ### Step 3: Calculate the Median Salary Since there are 10 salaries (an even number), the median will be the average of the 5th and 6th values in the sorted list. Now, let's perform the calculations for the lowest salary, highest salary, and median salary. 1. **Lowest Salary**: \( 51,745 \) 2. **Highest Salary**: \( 81,167 \) 3. **Median Salary**: Average of the 5th and 6th values: - 5th value: \( 64,820 \) - 6th value: \( 67,500 \) Now, let's calculate the median salary. \[ \text{Median} = \frac{64,820 + 67,500}{2} \] I'll calculate this now. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(64820+67500\right)}{2}\) - step1: Remove the parentheses: \(\frac{64820+67500}{2}\) - step2: Add the numbers: \(\frac{132320}{2}\) - step3: Reduce the numbers: \(\frac{66160}{1}\) - step4: Calculate: \(66160\) The calculations yield the following results: 1. **Lowest Salary**: \( 51,745 \) 2. **Highest Salary**: \( 81,167 \) 3. **Median Salary**: \( 66,160 \) ### Summary of Salary Analysis - **Median Salary**: \( 66,160 \) - **Lowest Salary**: \( 51,745 \) - **Highest Salary**: \( 81,167 \) This data display provides a clear overview of the salary distribution among the employees.