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Based on best practices for handling valid extreme outliers, explain why using the mean as the primary descriptive statistic would be problematic in this case, and describe the two main options the psychologist has to manage and report this toddler's extreme score.
Case context: A developmental psychologist is studying the number of words spoken per day by toddlers. One toddler in the sample is exceptionally talkative, speaking 15,000 words in a day, which is three times the sample average. The parent confirms the log is accurate and represents an honest, error-free measurement of the child's behavior. The researcher wants to summarize the daily word count for the sample and evaluate the overall pattern of toddler talkativeness.
Question: Based on best practices for handling valid extreme outliers, explain why using the mean as the primary descriptive statistic would be problematic in this case, and describe the two main options the psychologist has to manage and report this toddler's extreme score.
Sample answer: Using the mean is problematic because it is sensitive to extreme scores and would be skewed upwards by the outlier, making it unrepresentative of the typical toddler. To manage this valid outlier, the psychologist has two main options: first, they can use a resistant statistic like the median to summarize the data. Second, they can conduct and compare two analyses—one with the outlier and one without it. If the results differ substantially, the psychologist must report both sets of results and thoroughly discuss the discrepancies.
Key points:
- Explain that the mean is sensitive to extreme scores (not resistant) and will skew the sample representation.
- Identify the option of using resistant statistics like the median.
- Identify the option of comparing analyses with and without the outlier.
- Explain the requirement to report both analyses and discuss discrepancies if the results differ substantially.
Rubric: The response should: 1) Identify that the mean is not resistant and will be skewed by the outlier. 2) Describe the first option of using resistant statistics (specifically mentioning the median). 3) Describe the second option of running analyses with and without the outlier. 4) Explain that if results differ, both sets must be reported and discrepancies discussed.
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Research Methods in Psychology - 4th American Edition @ KPU
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