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# Comparing Actual & Theoretical Distributions

 Actual Distributions Given a actual probability distribution COMPARE this with the theoretical (normal) distribution. Comment on: Symmetry or skew? Bell Shaped curve or not? Uni-modal or bi-modal? Mean & Median the same? Data mostly within 2 standard deviations?

Mean = 14.5, Median = 18, Standard deviation = 6.8

Mean = 30, Median = 26, Standard deviation = 12.5

Normal Distribution? NO, but why?

Not symmetrical (as a normal distribution should be, Skewed to the right

Mean (14.5) and median (18) and mode (12) are different (should be about the same in a normal distribution

Data is not mostly within 2 standard deviations of the mean (at the top end)

Normal Distribution? NO, but why?

Is symmetrical (as a normal distribution should be, But not bell shaped curve

Mean (30) and median (26) and mode (22) are different (should be about the same in a normal distribution

Data is not mostly within 2 standard deviations of the mean