Inverse Normal and Normal distribution

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What is a Normal Distribution?

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A Normal Distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

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What does the mean represent in a Normal Distribution?

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The mean is the average value of a dataset and is the center point of a Normal Distribution.

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What is standard deviation in the context of Normal Distribution?

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Standard deviation measures the amount of variation or dispersion in a set of values. In a Normal Distribution, it determines the width of the bell curve.

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What is the 75th percentile?

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The 75th percentile is the value below which 75% of the data falls.

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How do you find the 25th percentile in a Normal Distribution?

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To find the 25th percentile, you can use the mean and standard deviation to calculate the z-score and then find the corresponding value.

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What is a z-score?

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A z-score indicates how many standard deviations an element is from the mean.

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What is the significance of the top 20% in a Normal Distribution?

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The top 20% represents the highest scores or values in a dataset, often used to identify outliers or exceptional cases.

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What does it mean for a score to be in the top 2%?

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A score in the top 2% means that it is higher than 98% of the scores in the distribution.

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What is variance in statistics?

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Variance is a measure of how far a set of numbers are spread out from their average value.

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How do you calculate the minimum mass for an obese rabbit given a variance?

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You can calculate the minimum mass by finding the z-score that corresponds to the top 20% and then using the mean and standard deviation.