Normal distributions in real life: Many variables are normally distributed, but

Question

Normal distributions in real life: Many variables are normally distributed, but not all are. (Fortunately, the central limit theorem saves us when we conduct research on samples from nonnormal populations if the samples are larger than 30!) Is the distribution of the number of frequent flyer miles earned in a year in the population of North American university students likely to be normal or nonnormal? Why?

Nonnormal; students do not fly often, so there would be a ceiling effect and a negative skew.

Normal; some students would fly infrequently, others would fly often and/or great distances, creating a roughly normal distribution

Nonnormal; most students probably never flew or flew very little, creating a floor effect and a positive skew.

Explanation / Answer

Normal; some students would fly infrequently, others would fly often and/or great distances, creating a roughly normal distribution

Also,due to large number of students, Central Limit Theorem will give a normal approximation to the data.

I hope this answer will help you out.

All the best.

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