The ages of students in a school are normally distributed with a mean of 16 years and a standard deviation of 1 year. using the empirical rule, approximately what percent of the students are between 14 and 18 years old?

95% of students are between 14 and 18 years old

Step-by-step explanation:

First we calculate the Z-scores

We know the mean and the standard deviation.

The mean is:

The standard deviation is:

The z-score formula is:

For x=14 the Z-score is:

For x=18 the Z-score is:

Then we look for the percentage of the data that is between deviations from the mean.

According to the empirical rule 95% of the data is less than 2 standard deviations of the mean.  This means that 95% of students are between 14 and 18 years old

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%

step-by-step explanation:

because it just is