QQuestionStatistics
QuestionStatistics
A z-score of 2.5 would indicate what with respect to the raw score's proximity to the distribution mean?
A. That the raw score lies precisely 2.5 standard deviations above the mean
B. That the modal category for the distribution lies 2.5 standard deviations below the mean
C. That the raw score lies 2.5 standard deviations below the mean
D. That the distribution has a mean of 2.5
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Answer
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Step 1Let's solve this step by step:
Step 2: Understanding Z-Scores
- $$\sigma$$ is the standard deviation
A z-score represents the number of standard deviations a raw score is from the mean of a distribution. The formula for a z-score is: Where:
Final Answer
The z-score of 2.5 indicates that the raw score lies precisely 2.5 standard deviations above the mean.
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