Math Problem Statement

Naomi weighed 50 patients for a medical study using a scale that measures to the nearest whole pound. She then calculated the mean weight as 176 pounds, with a standard deviation of 12 pounds.

If the distribution is normal, what percent of the data lies between 140 pounds and 212 pounds?

99.7%

95%

34%

68%

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Empirical Rule

Formulas

Empirical rule for normal distributions (68-95-99.7 rule)

Theorems

Empirical Rule

Suitable Grade Level

Grades 9-12