Question

According to the empirical rule, 68% of 7-year-old children are between ___ inches and ___ inches tall.

Answer 1

Using the empirical rule 68% would fall within one standard deviation of the mean.

The standard deviation is given as 2 inches and the mean is 49 inches.

Since it is only one standard deviation find the lower number by subtracting the standard deviation from the mean and find the higher number by adding the standard deviation to the mean.

49 - 2 = 47

49 + 2 = 51

68% would be between 47 inches and 51 inches tall.

Answer 2

According to the empirical rule, 68% of 7-year-old children are between 47 inches and 51 inches tall.

What is the Empirical Rule?

It states that, for a normally distributed random variable:

• Approximately 68% of the measures are within 1 standard deviation of the mean.

• Approximately 95% of the measures are within 2 standard deviations of  the mean.

• Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering the mean of 49 inches and the standard deviation of 2 inches, we have that:

68% of 7-year-old children are between 47 inches and 51 inches tall.

More can be learned about the empirical rule at https://brainly.com/question/24537145