apply the empirical rule\nage mean standard deviation\n7 years 49 inches 2 inches\naccording to the…

apply the empirical rule\nage mean standard deviation\n7 years 49 inches 2 inches\naccording to the empirical rule, 68% of 7 - year - old children are between \n\ninches and \n\ninches tall.

apply the empirical rule\nage mean standard deviation\n7 years 49 inches 2 inches\naccording to the empirical rule, 68% of 7 - year - old children are between \n\ninches and \n\ninches tall.

Answer

Explanation:

Step1: Recall empirical - rule for normal distribution

The empirical rule states that for a normal distribution, about 68% of the data lies within 1 standard - deviation of the mean.

Step2: Calculate the lower bound

The lower bound is given by the formula $\text{Mean}-\text{Standard Deviation}$. So, $49 - 2=47$ inches.

Step3: Calculate the upper bound

The upper bound is given by the formula $\text{Mean}+\text{Standard Deviation}$. So, $49 + 2 = 51$ inches.

Answer:

47, 51