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Sample variance and sample standard deviation calculation

#78. Consider a sample x1, x2, ..., xn and suppose that the values of x, s2, and s have been calculated.
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a. Let yi = xi - x for i = 1, ..., n. How do the values of s2 and s for the yi's compare to the corresponding values for the xi's? Explain.
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b. Let zi = (xi - x ) / s for i = 1, ..., n. What are the values of the sample variance and sample standard deviation for the zi's?

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