Question 717757
Chebyshev's Theorem states that at least 1 - 1/k^2 of the observations will be within k standard deviations of the mean. We want the range that 75% of data lie in, so set this equal to 75%:<br>

.75 = 1 - 1/k^2
1/k^2 = .25
4 = k^2
k = 2<br>

Thus, it can be shown that at least 75% of the observations will lie between +/- 2 standard deviations from the mean. The range is (240 +/- 2*38) = 164 to 316 Calories.