For this data set, find the mean and standard deviation of the variable. The data represent the ages of 30 customers who ordered a product advertised on television. Count the number of data values that fall within 2 standard deviations of the mean. Compare this with the number obtained from Chebyshev’s theorem. Comment on the answer.
Answer to relevant QuestionsUsing Chebyshev’s theorem, complete the table to find the minimum percentage of data values that fall within k standard deviations of the mean. The three data sets have the same mean and range, but is the variation the same? Prove your answer by computing the standard deviation. Assume the data were obtained from samples. a. 5, 7, 9, 11, 13, 15, 17 b. 5, 6, 7, 11, ...Which has a better relative position: a score of 75 on a statistics test with a mean of 60 and a standard deviation of 10 or a score of 36 on an accounting test with a mean of 30 and a variance of 16? Using the data in Exercise 20, find the approximate percentile ranks of the following miles per hour (mph). a. 380 mph 13th b. 425 mph 40th c. 455 mph 54th d. 505 mph 76th e. 525 mph 92nd Another measure of average is called the midquartile; it is the numerical value halfway between Q1 and Q3, and the formula is Using this formula and other formulas, find Q1, Q2, Q3, the midquartile, and the interquartile ...
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