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

a. $75\%$ b. $56\%$
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). The distribution has a mean of 80 and a standard deviation of 10. a. At least what percentage of values will fall between 60 and 100? k=2, $1-1/4=0.75$ or $75\%$ b. At least what percentage of values will fall between 65 and 95? k=1.5 $1-1/1.5^2=0.56$ or $56\%$