Question

a set of data has a normal distribution with a mean of 47 and a standard deviation of 7. find the percent of data within the following interval from 40 to 54. the percent of data within the given interval is \\(\square\\) % (type an integer or a decimal)

Explanation:

Step1: Calculate z-scores for bounds

For $x=40$: $z_1=\frac{40-47}{7}=-1$
For $x=54$: $z_2=\frac{54-47}{7}=1$

Step2: Use empirical rule for normal dist

Data within $z=\pm1$ is 68%

Answer:

68