Answer
$164-316$
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).
34. Calories The average number of calories in a regular size
bagel is 240. If the standard deviation is 38 calories,
find the range in which at least 75% of the data will lie.
Let $1-1/k^2=0.75$ we have $k=2, 2\times38=76$ The range would be $240-76$ to $240+76$ or $164-316$
