about what percentage of the data lies within 2 standard deviations of the mean in a normal distribution…

about what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47.5% 68% 95% 99.7%

about what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47.5% 68% 95% 99.7%

Answer

Answer:

C. 95%

Explanation:

Step1: Recall empirical rule

In a normal - distribution, the empirical rule (68 - 95 - 99.7 rule) applies.

Step2: Identify percentage for 2 std - devs

The rule states that about 95% of the data lies within 2 standard deviations of the mean. 68% lies within 1 standard deviation and 99.7% lies within 3 standard deviations. 47.5% is half of the data within 1 standard deviation on one - side of the mean.