The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10.
Approximately what percent of the containers had between 90 and 130 spears?
A) 27 percent
B) 58 percent
C) 68 percent
D) 73 percent
E) 95 percent

Question

Quizplus · Accepted Answer

This problem involves the empirical rule (or 68-95-99.7 rule) for normal distributions, which states that approximately 68% of the data falls within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. The range from 90 to 130 spears encompasses 2 standard deviations from the mean (110 ± 20), so approximately 95% of the containers fall within this range.

The Distribution of the Number of Dill Pickle Spears in a Gallon