METHODS OF DATA ANALYSIS
MEASURES OF CENTRAL TENDENCY
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are between 64 and 66.5 inches tall?
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50%
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2.5%
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13.5%
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34%
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Explanation:
Detailed explanation-1: -Step 3: Calculate the 95% confidence interval: 69±2.5*1.96 = 69±4.9. Step 4: 69+4.9=73.9. 69–4.9= 64.1. Conclusion: The middle 95% of men are between 64.1 inches and 73.9 inches tall.
Detailed explanation-2: -Half of 5% is 2.5%, so 2.5% of men are more than 2 standard deviations shorter than the mean, or shorter than 66 inches.
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