Which observation is a more extreme value, for its sample, based on the 𝑧 scores?
Question
Which observation is a more extreme value, for its sample, based on the 𝑧 scores?
Solution
To answer this question, you need to know the z-scores of the observations. The z-score is a measure of how many standard deviations an observation is from the mean. The observation with the higher absolute value of the z-score is considered more extreme.
Here are the steps to determine which observation is more extreme:
- Calculate the mean (average) of the sample.
- Calculate the standard deviation of the sample.
- Subtract the mean from each observation (this gives you the deviation of each observation from the mean).
- Divide each deviation by the standard deviation. This gives you the z-score for each observation.
- Compare the absolute values of the z-scores. The observation with the higher absolute z-score is the more extreme value.
Without specific values, I can't provide a more detailed answer. If you provide the observations and their z-scores, I can help
Similar Questions
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