EDUCATION (CBSE/UGC NET)

Detailed explanation-1: -The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean.

Detailed explanation-2: -The rule states that (approximately):-68% of the data points will fall within one standard deviation of the mean.-95% of the data points will fall within two standard deviations of the mean.-99.7% of the data points will fall within three standard deviations of the mean.

Detailed explanation-3: -The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

Detailed explanation-4: -The Empirical Rule or 68-95-99.7% Rule gives the approximate percentage of data that fall within one standard deviation (68%), two standard deviations (95%), and three standard deviations (99.7%) of the mean. This rule should be applied only when the data are approximately normal.

Detailed explanation-5: -The mean (the perpindicular line down the center of the curve) of the normaldistribution divides the curve in half, so that 50% of the area under the curveis to the right of the mean and 50% is to the left. Therefore, 50% of testscores are greater than the mean, and 50% of test scores are less than the mean.