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In a company's recent employee satisfaction survey, each employee was asked to rate his or her satisfaction in each of 6 categories on a scale from 1 (lowest) to 6 (highest) and was asked to indicate whether he or she had plans to leave the company within the next 2 years. For each category, the graph shows the average (arithmetic mean) rating given by employees planning to leave within 2 years and the average rating given by employees planning to stay for more than 2 years.
Select from each drop-down menu the option that creates the most accurate statement based on the information provided.
| Text Component | Literal Content | Simple Interpretation |
|---|---|---|
| Survey Context | "company's recent employee satisfaction survey" | The company conducted a survey to measure employee satisfaction |
| Rating Scale | "rate his or her satisfaction in each of 6 categories on a scale from 1 (lowest) to 6 (highest)" | Employees rated six satisfaction factors using a 1-6 scale (1 = lowest, 6 = highest) |
| Employee Grouping | "indicate whether he or she had plans to leave the company within the next 2 years" | Employees were asked if they planned to leave in the next 2 years or stay longer |
| Data Representation | "the graph shows the average (arithmetic mean) rating given by employees planning to leave within 2 years and the average rating given by employees planning to stay for more than 2 years" | The chart compares average scores for the two groups (leaving vs staying) across each category |
| Chart Component | What's Shown | What This Tells Us |
|---|---|---|
| Chart Type | Grouped vertical bar chart (two bars per category) | Visual comparison of satisfaction by category between two employee groups |
| Categories | advancement opportunities, clear corporate direction, learning opportunities, pay and benefits, recognition merit, use of available talent | The six categories being measured for satisfaction |
| Groups | Bar for 'leaving within 2 years', bar for 'staying for more than 2 years' | Each factor has two bars side by side for easy comparison |
| Data Values | E.g. advancement: \(\mathrm{2.20}\) (leaving) vs \(\mathrm{4.20}\) (staying); clear direction: \(\mathrm{2.00}\) vs \(\mathrm{3.65}\); learning: \(\mathrm{2.40}\) vs \(\mathrm{3.60}\); pay: \(\mathrm{1.90}\) vs \(\mathrm{2.90}\); recognition: \(\mathrm{2.00}\) vs \(\mathrm{2.45}\); talent use: \(\mathrm{1.95}\) vs \(\mathrm{3.45}\) | Employees planning to stay rate all factors higher; greatest difference in advancement opportunities (\(\mathrm{2.00}\) difference) |
Employees planning to stay rate every satisfaction factor higher than those planning to leave, indicating a clear correlation between satisfaction and retention. Advancement opportunities show the largest difference (\(\mathrm{2.00}\) points). The typical (median) satisfaction gap between groups across categories is about \(\mathrm{1.50}\) points, suggesting broad dissatisfaction among those planning to leave.
For the 6 categories, the median of the average ratings given by employees planning to stay for more than 2 years was greater than that for employees planning to leave within 2 years by approximately ______.
What is needed: The difference between the median satisfaction rating for employees staying more than 2 years and those leaving within 2 years, rounded to the nearest half point.
Among the 6 categories, the absolute value of the difference between the average rating given by employees planning to stay for more than 2 years and the average rating given by employees planning to leave within 2 years was greatest for ______.
What is needed: The satisfaction category with the widest gap (highest absolute difference) between the two groups' average ratings.
Question 1 required calculating the median rating for each group and finding their difference, which is \(\mathrm{1.5}\). Question 2 involved measuring the difference between groups across all categories, which is greatest (\(\mathrm{2.00}\) points) for advancement opportunities.
The two blanks are independent: one is about the overall median difference, the other about the maximum difference for a specific category. They require separate calculations and do not depend on each other.