For a data set with a mean of 150 and a standard deviation of 15, use chebyshev theorem to find the interval of which 75% of the data will fall.

The Chebychev's theorem states that for any numerical data set,
1.) at least of the data lie within two standard deviations of the mean;
2.) at least of the data lie within three standard deviations of the mean;
3.) at least  of the data lie within k standard deviations of the mean, where k is any positive whole number that is greater than 1.

Thus, given a data set with a mean of 150 and a standard Deviation of 15, 75% of the data represent of the data, and according to Chebychev's theorem, at least of the data lie within two standard deviations of the mean.

Thus, 75% of the data will fall within the interval
.

Therefore, 75% of the data will fall within the interval 120 to 180.