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Explain how the psychologist should determine the mode of this distribution based on these counts, identify the resulting mode value, and describe what this mode indicates about the distribution of self-esteem scores.
Case context: A psychologist is studying self-esteem levels in a sample of high school students and records their scores in a dataset. After organizing the data, the psychologist finds that the score of occurs times, the score of occurs times, and the score of occurs times, with all other scores appearing less than times.
Question: Explain how the psychologist should determine the mode of this distribution based on these counts, identify the resulting mode value, and describe what this mode indicates about the distribution of self-esteem scores.
Sample answer: To determine the mode, the psychologist must compare the frequencies of all scores in the dataset and identify the value that occurs most frequently. In this case, the score of has the highest frequency with occurrences. Therefore, the mode is . This indicates that a score of was achieved by more individuals in the sample than any other single self-esteem score.
Key points:
- The mode is determined by finding the score with the highest occurrence frequency.
- The score of has the highest frequency ( occurrences) compared to other scores.
- The mode indicates the single most common self-esteem score achieved by students in the sample.
Rubric: Full credit is awarded if the student: 1) Explains the process of finding the mode by identifying the score with the highest frequency; 2) Correctly identifies as the mode; and 3) Explains that the mode represents the most common individual score in the dataset rather than an average or midpoint.
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Research Methods in Psychology - 4th American Edition @ KPU
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