The data sets in parts a–c have been invented to demonstrate that the lower bounds given b...

The data sets in parts a–c have been invented to demonstrate that the lower bounds given by Chebyshev’s rule are appropriate. Notice that the data are contrived and would not be encountered in a real-life problem.

a. Consider a data set that contains ten 0s, two Is, and ten 2s. Calculate and s. What percentage of the measurements are in the interval Compare this result with that obtained from Chebyshev’s rule.

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b. Consider a data set that contains five 0s, thirty-two 1s, and five 2s. Calculate and s. What percentage of the measurements are in the interval Compare this result with that obtained from Chebyshev’s j rule.

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c. Consider a data set that contains three 0s, fifty 1s, and three 2s. Calculate and s. What percentage of the measurements are in the interval Compare this result with that obtained from Chebyshev’s rule.

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d. Draw a histogram for each of the data sets in parts a, b, and c. What do you conclude from these graphs and the answers to parts a, b, and c?