Question

Suppose a Set of data is exactly normally distributed with a mean of 6.5 and a standard deviation of .8, according to the 68-95-99.7 rule, we expect 95% of the observations in the data set to fall between ____ and ____

Answer 1

We expect 95% of the data to fall between 4.9 and 8.1

Explanation:

The 68-95-99.7 rule says that 95% of the data will lie between 2 standard deviations below the mean, and 2 standard deviations above the mean.

2 × SD = 1.6

6.5 - 1.6 = 4.9

6.5 + 1.6 = 8.1

We expect 95% of the data to fall between 4.9 and 8.1