## [answered] A nationwide test taken by high school sophomores and junio

 A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national?mean?score for the writing section was?50.2. Based on this information, complete the following statements about the?distribution?of the scores on the writing section for the recent year.?(a) According to Chebyshev's theorem, at least??56%75%84%89%?of the scores lie within 1.5?standard deviations?of the mean,??50.2?.(b) Suppose that the distribution is?bell-shaped. If approximately 68% of the scores lie between 40.3 and 60.1 , then the approximate value of the standard deviation for the distribution, according to the empirical rule, is ?.

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This question was answered on: Sep 18, 2020

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