6.61 Quartiles If z is the positive number such that the interval within z standard deviations of...

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6.61 Quartiles If z is the positive number such that the interval within z standard deviations of the mean contains 50% of a normal distribution, then

a. Explain why this value of z is about 0.67.

b. Explain why for any normal distribution the first and third quartiles equal m - 0.67s and m + 0.67s.

c. The interquartile range, IQR, relates to s by IQR = 2 * 0.67s. Explain why.

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Statistics The Art And Science Of Learning From Data

ISBN: 9781292164878

4th Global Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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