E. Pick one measure you would use when data was normal? Explain. F. Pick one mea

Question

E. Pick one measure you would use when data was normal? Explain. F. Pick one measure you would use when data was significantly skewed? Explain? Shape (Skewness) G. Explain Skewness. E. Pick one measure you would use when data was normal? Explain. F. Pick one measure you would use when data was significantly skewed? Explain? Shape (Skewness) G. Explain Skewness. E. Pick one measure you would use when data was normal? Explain. F. Pick one measure you would use when data was significantly skewed? Explain? Shape (Skewness) G. Explain Skewness.

Explanation / Answer

E. Pick one measure you would use when data was normal? Explain.

If data is normal, the measure that could be used is the mean. When the data is symmetricl or typically mound shaped, the mean is in the middle and the values near the mean are typical. We could also use the median and Mode, because for a perfectly normal distribution Mean=Median=Mode

F. Pick one measure you would use when data was significantly skewed? Explain?

If data was significantly skewed(to the left or the right), then we cannot use the mean, as the mean would lie in the middle whereas the data would indicate that most of them are distributed anywhere else other than the mean. In such cases the Median would be our choice of measurement, as the median would be a better indicator of the nature of the distribution.

G. Explain Skewness.

Skewness is the asymmetry(or the lack of symmetry) in the statistical distribution, in which the curve appears distorted or skewed, either to the left or to the right. It can be quantified to define the extent to which a distribution differes from a normal distribution. Skewness can come in the form of negative skewness or positive skewness, depending on whether data points are skewed to the left and negative, or to the right and positive of the data average.

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