Question

(a) The area between ±1 contains 68.26% of the area under the normal distribution. (b) The area between ±2 contains 95.44% of the area under the normal distribution. (c) The area _____________.

Answer 1

The area between ±1 contains approximately 68% of the area under the normal distribution. About 68% of the data falls within one standard deviation of the mean.

The area between ±1 contains approximately 68% of the area under the normal distribution, according to the Empirical Rule. This means that about 68% of the data falls within one standard deviation of the mean. For a bell-shaped and symmetric distribution, approximately 95% of the data falls within two standard deviations of the mean.

More than 99% of the data falls within three standard deviations of the mean.