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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 49.4, with a standard deviation of 10.4. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.

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 49.4, with a standard deviation of 10.4. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 49.4, with a standard deviation of 10.4. 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  of the scores lie between _ and _. (Round your answer to 1 decimal place.)

b.) According to Chebyshev's theorem, at least ▼(Choose one, 36%, 56%, 75%, 84%, or 89%) of the scores lie between 28.6 and 70.2.

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 49.4, with a standard deviation of 10.4. 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 84% of the scores lie between and. (Round your answer to 1 decimal place.) (b) According to Chebyshev's theorem, at least (Choose one) scores lie between 28.6 and 70.2. of the X 5 ?
Transcribed Image Text: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 49.4, with a standard deviation of 10.4. 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 84% of the scores lie between and. (Round your answer to 1 decimal place.) (b) According to Chebyshev's theorem, at least (Choose one) scores lie between 28.6 and 70.2. of the X 5 ?
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