Empirical Rule and Tchebychev Inequality Assume a distribution has mean u = 84 and standard deviation g = 10: In a) through c) we assume the distribution is mound-shaped (approximately normally distributed) so that the empirical rule applies. a) What percentage of the data points are within the range (74, 94)? What percentage is within the range (64, 104)? b) What the percentage of the data points that are less than 74? What percentage is less than 64? c) What percentage of the data points are within the range (74, 84)? What percentage is within the range (94, 104)? In part d) we assume nothing is know about the distribution so that it is potentially very irregularly shaped. How much of the data can the be guaranteed to be within the range (64, 104)?

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