Question

The average age of people attending a concert was 23 years old, with a standard deviation of 7. What percentage of people at the concert were older than 37 years old?

Answer 1

2.28%

Explanation:

We have that the mean (m) equals 23 and that the standard deviation (sd) is 7.

We can calculate the value z and in this way we can calculate the probability in this case with the calculation of the normal distribution table:

z = m - x / sd

we know that x is 37, replacing:

z = (23 - 37) / 7

z = -2

according to the normal distribution table the value of z = -2, is equivalent to 0.0228

So the probability is 2.28%