For each of the 11 employees of a small company, the graphic shows the employee's salary (as a percent of...

Owning The Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

The employee with the median job satisfaction rating (\(\mathrm{55}\)) earns the lowest salary (\(\mathrm{46\%}\) of the median), which is a notable outlier to the general upward salary-satisfaction trend. The employee with the median salary (\(\mathrm{100\%}\) of median) has a job satisfaction of \(\mathrm{60}\), which is above the median satisfaction value. In general, there is a positive correlation between salary and job satisfaction among the employees.

Step-by-Step Solution

Question 1: Median Job Satisfaction Employee's Salary

Complete Statement:

The employee having the median job satisfaction rating had a salary [BLANK] the median salary.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: employee having the median job satisfaction rating
  • Meaning: Identify the employee whose job satisfaction rating sits at the median (the 6th value out of 11 when ordered lowest to highest).
  • Relation to Chart: The x-axis lists job satisfaction ratings; the person with the middle (6th) highest rating is the median.
  • Important Implications: We must find the specific salary associated with this median satisfaction rating.

• Statement Breakdown 2:
  • Key Phrase: had a salary [BLANK] the median salary
  • Meaning: Compare the identified employee's salary with the overall median salary value.
  • Relation to Chart: The y-axis shows employee salary as a % of the median salary; \(\mathrm{100\%}\) means 'median'.
  • Important Implications: If the employee has a salary percentage less than \(\mathrm{100}\), it is 'less than' the median; more than \(\mathrm{100}\) is 'greater than' the median.

• What is needed: Is the salary of the employee with the median job satisfaction rating less than, equal to, or greater than the median salary?

Solution:

• Condensed Solution Implementation:
  Find the employee with job satisfaction rating equal to the median (\(\mathrm{55}\)), then check that employee's salary percentage.
• Necessary Data points:
  The median job satisfaction rating is \(\mathrm{55}\), and the corresponding salary is \(\mathrm{46\%}\) of the median salary.
• Calculations Estimations:
  \(\mathrm{46\%}\) is less than \(\mathrm{100\%}\); so this employee's salary is less than the median salary.
• Comparison to Answer Choices:
  Among 'less than', 'equal to', and 'greater than', the answer is 'less than'.

FINAL ANSWER Blank 1: less than

Question 2: Median Salary Employee's Job Satisfaction

Complete Statement:

The employee having the median salary had a job satisfaction rating [BLANK] the median rating.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: employee having the median salary
  • Meaning: Identify the employee whose salary is at the median level (\(\mathrm{100\%}\) of the median salary).
  • Relation to Chart: On the y-axis, find the point where salary is \(\mathrm{100\%}\).

• Statement Breakdown 2:
  • Key Phrase: had a job satisfaction rating [BLANK] the median rating
  • Meaning: Compare this employee's satisfaction rating to the overall median satisfaction rating.
  • Relation to Chart: The median job satisfaction is \(\mathrm{55}\) (as previously determined).

• What is needed: Is the job satisfaction of the employee with the median salary less than, equal to, or greater than the median satisfaction rating?

Solution:

• Condensed Solution Implementation:
  Find the employee whose salary is exactly \(\mathrm{100\%}\) of the median, then check their job satisfaction rating.
• Necessary Data points:
  The median salary is \(\mathrm{100\%}\); the corresponding job satisfaction is \(\mathrm{60}\).
• Calculations Estimations:
  \(\mathrm{60}\) is greater than \(\mathrm{55}\); so this employee's satisfaction is greater than the median.
• Comparison to Answer Choices:
  Among 'less than', 'equal to', and 'greater than', the answer is 'greater than'.

FINAL ANSWER Blank 2: greater than

Summary

The employee with the median job satisfaction rating (\(\mathrm{55}\)) has a salary much less than the median (\(\mathrm{46\%}\)), while the employee with the median salary (\(\mathrm{100\%}\)) has a job satisfaction higher than the median (\(\mathrm{60}\)). This highlights that the two medians do not necessarily correspond to the same employee or comparable values in the dataset.

Question Independence Analysis

The two questions are independent: each requires finding a different employee (median satisfaction vs. median salary) and comparing different attributes. While both deal with medians, solving one does not directly affect the other.