MHB Stats question about a bell curve

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The discussion revolves around understanding the normal distribution, commonly represented by the bell curve, particularly in relation to grades and other data. A participant seeks assistance with a problem requiring the creation of a unique normal distribution, detailing its mean and standard deviation. They inquire about the significance of specific intervals under the curve, namely µ - σ to µ + σ, µ - 2σ to µ + 2σ, and µ - 3σ to µ + 3σ. An example provided is IQ scores, which typically have a mean of 100 and a standard deviation of 15, illustrating a real-world application of the normal distribution. The conversation emphasizes the importance of understanding these statistical concepts and their practical implications.
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Hey I am new here and not exactly sure how it works. I am stuck on this problem from my professor and would love any help anyone has!When one thinks of the normal distribution the first thing that comes to mind is the bell curve and grades. While this is one example of a normal curve that is widely recognized, it is not the only one. Try to come up with a unique normal distribution that your classmates have not posted already. Explain your curve with all the details you could find such as the mean and standard deviation. What do the areas in the intervals µ - σ to µ + σ, µ - 2σ to µ + 2σ and µ - 3σ to µ + 3σ represent as far as areas under the normal curve? If you have the mean and standard deviation, calculate what the actual intervals are for your curve. Please include any citations on where you obtained your data for the curve.

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Well, lots of biological data fits a normal distribution pretty well. One example that springs to mind is IQ scores, where the mean is 100 and the standard deviation is 15.
 
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