Question

Which of the following can be used to determine the proportion of data points that fall within a specified number of standard deviations from the mean?

O chebyshev's theorem
O percentiles
O the empirical rule - assuming a normal distribution
O the mode

Answer 1

The Empirical Rule - assuming a normal distribution can be used to determine the proportion of data points that fall within a specified number of standard deviations from the mean. So the correct answer is Option C.

Step-by-step explanation:

The proportion of data points that fall within a specified number of standard deviations from the mean can be determined using the Empirical Rule - assuming a normal distribution. According to the Empirical Rule, for a bell-shaped and symmetric distribution, approximately 68 percent of the data falls within one standard deviation of the mean, approximately 95 percent falls within two standard deviations of the mean, and more than 99 percent falls within three standard deviations of the mean.