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(a) construct a stem and leaf diagram for length of service (LOS) and (b) construct a frequency a distrubution (table) for LOS and (c) construct a frequency histogram for LOS and (d) which of these displays do you think is the most effective for presenting the data on the LOS? THE LEAST EFFECTIVE?

### Part (d) Evaluation of Effectiveness:
- **Most Effective**: The histogram is the most effective display of the data. It provides a clear visual representation of the frequency of Length of Service (LOS) across intervals, making it easy to compare the different categories and see trends at a glance.
  
- **Least Effective**: The stem-and-leaf diagram is the least effective in this case. While it shows the distribution of individual data points, it becomes cumbersome to interpret compared to a histogram or frequency table, especially with larger datasets.

Do you want any additional details or clarifications on the analysis?

Here are 5 additional questions to explore this data further:
1. What is the average Length of Service (LOS) based on the provided frequency table?
2. What is the median range of LOS from the frequency table?
3. Can you calculate the variance and standard deviation for the LOS data?
4. How does the mode of LOS reflect the nature of the organization (e.g., employee retention)?
5. What other graphical methods (e.g., box plots) could be used to analyze this data?

**Tip**: Histograms are particularly useful for identifying the shape of the data distribution (e.g., whether it is symmetric, skewed, or uniform).

(a) Construct a stem and leaf diagram for length of service (LOS), (b) construct a frequency distribution (table) for LOS, (c) construct a frequency histogram for LOS, and (d) which of these displays is most effective for presenting the data on LOS and least effective?

Learn how to construct a stem-and-leaf diagram and frequency distribution for Length of Service (LOS) data. Explore the frequency table, stem-and-leaf plot, and histogram to analyze the data and determine which method is most and least effective for presenting it. This problem covers key concepts in data visualization and descriptive statistics. Suitable for students in Grades 9-12.

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