Question

if a variable has a distribution that is bell-shaped with mean 28 and standard deviation 5, then according to the empirical rule, 68.0% of the data will lie between which values?
(this is a reading assessment question. be certain of your answer because you only get one attempt on this question.)

according to the empirical rule, 68.0% of the data will lie between and .
(type integers or decimals rounded to two decimal places as needed. use ascending order.)

Explanation:

Step1: Recall Empirical Rule for 68%

For bell-shaped data, 68% of values lie within $\mu \pm \sigma$, where $\mu$ is the mean and $\sigma$ is the standard deviation.

Step2: Calculate lower bound

Subtract standard deviation from mean:
$28 - 5 = 23$

Step3: Calculate upper bound

Add standard deviation to mean:
$28 + 5 = 33$

Answer:

23 and 33