Answer
$84\%$
Work Step by Step
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).
39. Farm Sizes The average farm in the United States in
2004 contained 443 acres. The standard deviation is
42 acres. Use Chebyshev’s theorem to find the minimum
percentage of data values that will fall in the range of
338–548 acres.
$42k=548-443$ we have $k=2.5$ and $1-1/2.5^2=0.84$
