Question

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 Which graph should Monica choose? Explain your reasoning by completing the sentences. A dot plot ..... A box plot ..... A histogram ..... So, Monica should create a Choose ..... to display the data.

Answer 1

Monica should create a box plot to display the median salary, lowest salary, and highest salary, as it effectively represents the spread of the data and identifies outliers, which is essential for comparing salaries across different races and genders.

Step-by-step explanation:

When choosing a graph to display the median salary, lowest salary, and highest salary among employees, Monica has several options:

A dot plot shows individual data points on a number line, useful for small datasets but may become cluttered with larger sets.

A box plot, also known as a box-and-whisker plot, clearly shows the median, lower quartile, upper quartile, minimum, and maximum values, making it ideal for displaying the spread of data and identifying outliers.

A histogram displays the distribution of data by showing the number of data points that fall within a range of values, not specifically highlighting the median, minimum, or maximum values.

Given the need to compare salaries across different races and genders and ensure fair pay for the same work, Monica should create a box plot to clearly display the median salary, the lowest salary, and the highest salary. This will also help identify any outliers in the salary data.