Question

dication is blazing!
what is the best interpretation of the z-score from the previous problem?
choose 1 answer:
a. this drink has 0.8 g of sugar less than the mean of the 32 drinks.
b. this drink is 0.8 standard deviations below the mean of the 32 drinks.
c. about 80% of drinks have a lower sugar content than this drink.
d. about 80% of drinks have a higher sugar content than this drink.

Explanation:

A z-score measures how many standard deviations a data point is from the mean of a dataset. A z-score of -0.8 indicates the value is 0.8 standard deviations below the mean. Z-scores do not directly refer to raw value differences (like 0.8g) or percentiles without additional context, so the correct interpretation relates to standard deviation distance from the mean.

Answer:

B. This drink is 0.8 standard deviations below the mean of the 32 drinks.