Answer
$86\%$
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).
38. Trials to Learn a Maze The average of the number of
trials it took a sample of mice to learn to traverse a maze
was 12. The standard deviation was 3. Using Chebyshev’s
theorem, find the minimum percentage of data values that
will fall in the range of 4–20 trials.
$3k=20-12$ so $k=8/3$ and $1-(3/8)^2=0.86$
