Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 83 on the final exam. The mean and the standard deviation scores on the exam are 72 and 5, respectively. Calculate the z-score.

Step-by-step explanation:

The z-score tells us how many standard deviations a value is away from the mean.

The formula is:

where x is the value, is the mean, and s is the standard deviation.

We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

Substitute the values into the formula.

Solve the numerator.

Divide.

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent