Stats homework please help

Question

Suppose  is a continuous distribution with a population mean and standard deviation of  and  respectively. Using Chebychev's Theorem at least what percent of data lies within  standard deviations of the mean?

Answer 1

The mean and standard deviation are irrelevant, as the question is asked in terms of standard deviations.

From the inequality, P(X is within q standard deviations of the mean) >= 1 - (1/q)²

1 - (1/2)2 = 1 - 1/4 = 3/4 = 75%