Survey Statistics Report
To apply statistical reasoning in psychology, you must be able to understand and utilize central tendency and probability calculations for various circumstances.
Use the same survey data from the Week 1 assignment for this Summative Assessment.
Continuing in your role as an intern with a community clinic, imagine your supervisor has now requested that you prepare a report for the entire staff of the clinic on the results of the customer satisfaction survey.
Survey Statistics Report
Your supervisor has asked you to explain the statistical calculations using language that the entire staff of your community clinic (such as office workers or those who have never had a course in statistics) could understand.
Write a 350- to 525-word report that includes:
- Computation of the mean, median, mode, sum of squares (SS), variance, and standard deviation for this sample using the definitional and computational formulas.
- Data organized in a table with definitional and computational formulas for each
- A review of your histogram from Week 1, in which you determine whether the mean is greater than, less than, or approximately equal to the median. Justify your answer.
- An explanation of the probability that a survey of the entire population would result in a patient satisfaction score of greater than 5. Justify your answer.
Submit your assignment as a Microsoft Word document.
Survey Statistics Report
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What are the mean median mode SS variance and standard deviation of the sample?,
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How do definitional and computational formulas compare?,
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What does the histogram reveal about the relationship between the mean and median?,
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Is the mean greater than less than or equal to the median?,
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What is the probability of a population satisfaction score greater than 5?
Comprehensive General Answer (General Format Without Specific Data):
Community Clinic Survey Results Summary
As part of our ongoing efforts to improve patient satisfaction, I’ve analyzed the data collected from our recent survey. The goal of this report is to present the results using simple, easy-to-understand language for all staff, regardless of statistical background.
1. Central Tendency and Variation
Using the survey data from Week 1, we calculated the following:
| Statistic | Result (Example) | Definitional Formula | Computational Formula |
|---|---|---|---|
| Mean (Average) | 5.6 | Mean = ΣX / N | Add all scores and divide by the number of scores |
| Median (Middle) | 5.0 | Middle score when values are in order | Sort scores and find the middle value |
| Mode (Most Common) | 5 | Score that appears most often | Count the frequency of each score |
| Sum of Squares (SS) | 30.2 | SS = Σ(X − Mean)² | SS = ΣX² − (ΣX)²/N |
| Variance | 3.35 | Variance = SS / (N−1) | Use SS and divide by one less than sample size |
| Standard Deviation | 1.83 | Square root of variance | √Variance |
These measures help us understand the overall satisfaction level of our patients and how consistent the responses were.
2. Histogram Review: Mean vs. Median
In reviewing the histogram from Week 1, the distribution of scores was slightly skewed, with a few very high ratings (possibly a couple of 10s). Because of these higher outlier scores, the mean was slightly greater than the median.
Justification: When the data is skewed to the right (positively skewed), the mean is pulled higher due to the influence of the extreme scores. The median, being the middle score, is less affected by these outliers.
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