STATISTICAL TECHNIQUES AND TOOLS
Z DISTRBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?
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1
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1.43
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-1.43
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11.5
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Explanation:
Detailed explanation-1: -68% of all scores will fall between a Z score of-1.00 and +1.00. 95% of all scores will fall between a Z score of-2.00 and +2.00. 99.7% of all scores will fall between a Z score of-3.00 and +3.00. 50% of all scores lie above/below a Z score of 0.00.
Detailed explanation-2: -Key Takeaways. The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
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