Consider the sample of exam scores to the right, arranged in increasing order. The sample mean and sample standard deviation of these exam scores aro, respectively, 83.0 and 177. Chebycher's rule states that for any data set and any real number k>1, at least 100(1-1/K?)% of the observations lio 25 44 52 59 60 74
within k standard deviations to other side of the mean Complete parts (a) and (b) below.
81 81 82 85 85 85
87 90 90 90 91 92
92 92 93 93 94 94
94 95 96 96 98 100
a. Use Chebychev's rule to obtain a lower bound on the percentage of observations that lie within three standard deviations to either side of the mean.
(Round to one decimal place as needed)