Explanation If the mean, median and mode all have the same value then the distribution is called normal. Now check whether the mean, median and mode all have the same value. Given the set of data are 0, 5, 6, 0, 2, 4, 0, 4, 5, 4, 8, 7, 3, 5, 3, 2, 6, 3, 3, 0, 2, 2, 10, 14, 0, 6, 2, 3, 0, 4, 6, 1, 2, 3, 2, 2, 4, 4, 4, 6, 1, 2, 2. Mean is calculated as follows. x ¯ = { 0 + 5 + 6 + 0 + 2 + 4 + 0 + 4 + 5 + 4 + 8 + 7 + 3 + 5 + 3 + 2 + 6 + 3 + 3 + 0 + 2 + 2 + 10 + 14 + 0 + 6 + 2 + 3 + 0 + 4 + 6 + 1 + 2 + 3 + 2 + 2 + 4 + 4 + 4

A Survey of Mathematics with Applications Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

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Author: Angel, Allen, Abbott, Christine, RUNDE, Dennis

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Whether the number of children per family in the United States is a normal distribution.

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Whether the number of children per family in the United States is a normal distribution .

Solution Summary: The author explains that the number of children per family in the United States is not a normal distribution. If the mean, median and mode all have the same value, the distribution is called normal.

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