# Math Help - Help with Chebyshev's theorm!

1. ## Help with Chebyshev's theorm!

From years of experience fishing for trout in the Yellowstone River you know that the mean length of trout you catch is 14.7 inches with a standard deviation of 1.5 inches.
A) Use Chebyshev's Theorm to find an interval A to B for the lengths of trout in which at least 75% of the fish you catch will fall.
B)Compute the CV for this data.
Remember what Chubby Checkers says: Disregarding distribution, the percentage of values laying within K standard deviations from the mean will be $1 - \frac{1}{K^2}$, for K greater than 1. Therefore, you can use Chubby's theorem to set up an equation:
$.75 = 1 - \frac{1}{K^2}$