The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approximately what percent of the students are between 14 and 18 years old?

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

Similarly, we will find the z-score corresponding to 18.

Now we will find the probability of getting a z-score between and that is .

Using normal distribution table, we will get:

Let us convert into percentage.

Therefore, approximately of the students are between 14 and 18 years old.

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