## Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

a. $96\%$ b. $94\%$
Chebyshev’s theorem The proportion of values from a data set that will fall within k standard deviations of the mean will be at least $1−1/k^2$, where k is a number greater than 1 (k is not necessarily an integer). 32. The mean of a distribution is 20 and the standard deviation is 2. Use Chebyshev’s theorem. a. At least what percentage of the values will fall between 10 and 30? $k=5, 1-1/5^2=0.96$ or $96\%$ b. At least what percentage of the values will fall between 12 and 28? $k=4, 1-1/4^2=0.94$ or $94\%$