Give me a real-life example of a data distribution that you think is approximately normal but with a large spread (i.e., large standard deviation). Use Google or other research methods to find the mean and standard deviation to support your claim. What reasons or conditions attribute to the large variation? Give an example of a data distribution that you think is approximately normal but with a very small spread (i.e., small standard deviation). Use Google or other research methods to find the mean and standard deviation to support your claim. What limitations prevent the data from a larger variation? Include the mean and standard deviation.

A real-life example of a data distribution that is approximately normal but has a large spread is human height, and an example of a data distribution that is approximately normal but has a very small spread is human birth weight.

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There are many examples of normal distribution. One example with a large spread in data is height. There is a large distribution height. Most people fall within one deviation of the average. For men, the average height is 70 inches (5 foot 10 inches) with a standard deviation of 4 inches. So 34% of men are between 5'6" and 5'10" and 34% are between 5'10" and 6'2". 13.5% are between 5'2" and 5'6," and the same percentage are between 6'2" and 6'6". The remaining 5% are either above 6'6" or below 5'2". These outlying groups show considerable deviation with Little People with heights between 1 foot and 4'10" and giants with heights up to 8'6".

Birthweight shows normal distribution with a small amount of deviation. This is in part due to the small size of newborns and in part due to the medical complications of very low birth weights for the baby and very high birth weights for both mother and baby.

The average birth weight is about 7 lbs 5 oz with a standard deviation of 1 lb 3 oz. Thus, 68% of newborns weigh between 6 lbs 2 oz and 8 lbs 8 oz. 95% weigh between 4 lbs 11 oz and 9 lbs 11 oz. Premature babies can weigh as little as 1 lb and survive, though the odds are worse the lower the weight. Larger babies are rarely delivered, because doctors will frequently intervene before a dangerous size is reached.

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