Percentiles and Z-scored

Question

Drinks at Ben's Beans have a mean sugar content of 20 grams with a standard deviation of 6 grams. The sugar content in a Grande Cappuccino at Ben's Beans has a z-score of -0.75 compared to the rest of the drinks at that shop.

How much sugar is in a Grande Cappuccino at Ben's Beans?

Answer 1

z-score is the number of standard deviations value differs from the mean.

z-score of -0.75 means value = mean - 0.75 *standard deviation = 20 - 0.75 * 6 = 16g