The Random.org website, provided in the Topic 2 Resources, generates a set of random numbers

"Discussion Question Rubric" and "ParWatch three videos ("Measure of Center 'Mean,'" "Measure of Center 'Median,'" and "Measure of Center 'Mode'") in the Calculations section of "The Visual Learner: Statistics," located in the Topic 2 Resources. Go to the Random.org website, provided in the Topic 2 Resources, to generate a set of random numbers. Click on the "Get Sets' link at the bottom left of the page to generate some data. (Note: If you cannot access the link, you can randomly generate 10 numbers for this calculation.) Imagine these numbers are the care satisfaction scores from a recent sample of discharged patients. Randomly select one row of numbers to use for the following calculations: What was the mean? What was the median? What was/were the mode/s? Given that the data range was between 1 and 20, what do these numbers tell you about the patients' overall satisfaction? If you were reporting these scores back to your supervisor, how would you explain or interpret these satisfaction scores? Initial discussion question posts should be at least 200 words and include at least two references cited using APA format. Responses to peers or faculty should be 100-150 words and include one reference. To understand the expectations for initial discussion question posts and participation posts, refer to the ticipation Rubric," located in Class Resources. GO TO DISCUSSIONSUBMIT DQ RESPONSE

Sample Solution

       

Discussion Question Response: Patient Satisfaction Scores

This response addresses the prompt's requirements and provides calculations and interpretations for randomly generated patient satisfaction scores.

Random Data Generation:

Since the link to Random.org might not be accessible to everyone, we'll assume a randomly generated set of 10 numbers as instructed: {12, 18, 5, 15, 8, 10, 17, 3, 14, 20}.

Calculations:

  • Mean (average): (12 + 18 + 5 + 15 + 8 + 10 + 17 + 3 + 14 + 20) / 10 = 12.2
  • Median: Ordering the data: {3, 5, 8, 10, 12, 14, 15, 17, 18, 20}. Since we have an even number of values, the median is the average of the two middle numbers: (12 + 14) / 2 = 13.
  • Mode: The most frequent number is 12, making it the mode.

Interpretation:

The data range (1 to 20) suggests a spread in satisfaction levels. The mean (12.2) indicates that, on average, patients were slightly above neutral on a scale of 1 (least satisfied) to 20 (most satisfied). The median (13) aligns closely with the mean, further supporting this interpretation. However, the presence of a mode at 12 suggests a potential clustering of scores around this value.

Full Answer Section

     

Reporting to Supervisor:

"Overall, patient satisfaction scores showed a moderate range from 1 to 20, with an average score of 12.2. While the mean and median indicate a slight positive skew towards satisfaction, the presence of a mode at 12 suggests a concentration of scores around this value. Further investigation might be helpful to understand the factors influencing this specific score."

References:

  • American Psychological Association (2020). Publication Manual of the American Psychological Association (7th ed.). [Online]. 1 Retrieved from [invalid URL removed]  
  • Walonick, D. S. (1997). Introducing statistics (3rd ed.). Prentice Hall.

Note: This response is approximately 200 words long and includes two APA-formatted references. You can adjust the explanation to your supervisor based on your specific context.

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