Question

a sample data set with a mean of 685 and a standard deviation of 39.8 has a bell - shaped distribution. what range of values include approximately 68% of the data? (1 point) between 656.2 and 703.8 between 645.2 and 724.8 between 565.6 and 804.4 between 605.4 and 764.6

Explanation:

Step1: Recall the empirical rule

For a bell - shaped (normal) distribution, approximately 68% of the data lies within 1 standard deviation of the mean.

Step2: Calculate the lower bound

The lower bound is \(\mu-\sigma\), where \(\mu = 685\) and \(\sigma=39.8\). So, \(685 - 39.8=645.2\).

Step3: Calculate the upper bound

The upper bound is \(\mu+\sigma\). So, \(685 + 39.8 = 724.8\).

Answer:

between 645.2 and 724.8