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 51.7, with a standard deviation of 9.5. 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 36% of the scores lie between
and I. (Round your answer to 1 decimal place.)
S
?
of the scores lle
(b) According to Chebyshev's theorem, at least ?
between 32.7 and 70.7.