For a set of data with a mean of 6 and a variance of 9, approximately 68% of the values
will fall between 3 to 9.

Question

Quizplus · Accepted Answer

According to the empirical rule (or 68-95-99.7 rule) for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Here, the standard deviation is the square root of the variance, which is 3. Therefore, one standard deviation from the mean (6 ± 3) indeed covers the range from 3 to 9.

For a Set of Data with a Mean of 6