A normal distribution has a mean of 16 and a standard deviation of 5. What percent of values are from 16 to 26​?

Question

A normal distribution has a mean of 16 and a standard deviation of 5. What percent of values are from 16 to 26​?

Answer 1

(26-16)/5 = 10/5 = 2 standard deviations from the mean

area under the curve is, by the empirical rule, .95/2 = a close approximation = .475 = 47.5% of the values are between 16 to 26

for a slightly more accurate solution use z tables or a z calculator

47.725%