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The table below shows the number of one company's stores located in each of 50 regions. Complete parts (a) through (c) below. 69 25

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The table below shows the number of one company's stores located in each of 50 regions. Complete parts (a) through (c) below. 69 25 80 50 563 81 69 20 12 310 128 25 25 190 129 67 57 79 84 35 97. 115 158 82 49 96 25 35 42 39 160 40 341 140 9 203 69 25 85 407 40 15 140 640 60 68 230 25 115 39 99 104 a. Compute the mean, variance, and standard deviation for this population. The population mean is = (Type an integer or a decimal. Round to one decimal place as needed.) The population variance is o = (Round to the nearest integer as needed.) NOTE: To calculate the variance, do not round standard deviation value. This is to avoid the rounding error. The population standard deviation is = (Type an integer or a decimal. Round to one decimal place as needed.) b. What percentage of the 50 regions have stores within 1, 2, or 3 standard deviations of the mean? The percentage within 1 standard deviation of the mean is %. (Type an integer or a decimal. Do not round.) The percentage within 2 standard deviations of the mean is %. (Type an integer or a decimal. Do not round.) The percentage within 3 standard deviations of the mean is %. (Type an integer or a decimal. Do not round.) c. Compare your findings in part (b) with what would be expected on the basis of the empirical rule. Are you surprised at the results in part (b)? A. Yes, because all the data are within 2 standard deviations of the mean.

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