The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.4 grams. The weight of a randomly selected pack of gum has a z-score of 3.11. Which of the following statements is the best interpretation of the z-score?

A z-score tells how many standard deviations a value is from the mean. Since the z-score is positive, the pack weighs more than the mean, and 3.11 means it is 3.11 standard deviations above the mean. Therefore, the correct interpretation is that it is heavier than the mean by 3.11 standard deviations.

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