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Question: 1) Suppose that the frequency distribution of daily high temperatures in a city are normally distributed with a mean of 60 degrees. Suppose that roughly one day every two years has a high temperature of 90-degrees or warmer. If this is the case, what is the approximate standard deviation of daily high temperatures? 2) Suppose that the frequency distribution of daily high temperatures in a city are normally distributed with a mean of 60 degrees. If approximately 9 days in a year have a daily temperature of 100 degrees and above, then what is the standard deviation of daily high temperatures? These questions are very similar, and I wonder how to find approximate standard deviation without a data set? The only information from the question is the mean and the highest temperature. Are the days mentioned in the question matters to find the answer? By how?
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