Consider two normal curves. If the first one has a larger mean than the second one, must it have a larger standard deviation as well? Explain your answer.
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I know the answer is no but I don't what the explanation is.
what do the curves represent?
say one is the weight of a brand name bag of potatoes which has a mean of 20kg now the factory tries to make sure that every bag weighs 20kg it might be off a few grams so mean 20kg variance 5grams
now take the weight of a new born baby it mean is 3.2kg but it can have a high range like 5kg or 2kg
means 3.2kg varience 90grams
assuming these normal curves are independent
then any given normal curve can have any size mean and any size std dev depending on what data the curve represents
so no just because the mean is greater has no influence on what the std dev is