Question

How close to a normal distribution are these two histograms? Explain any discrepancy.

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Answer 1

Normal Distribution is a symmetric Distribution about its mean.

According to the above two histograms , the first one is not look like a symmetric one so it is not likely to be a normal distribution.

But the second one is look like a symmetric histogram and this could be a histogram of the data having a normal distribution.

a point to be noted that in normal distribution the curve have thin tails , the reason why the mean variance and higher order moments are exists. The first graph has a thick tails so this is not a graph of normal distribution.