Question

The weight of oranges growing in an orchard is normally distributed with a mean weight of 5.5 oz. and a standard deviation of 0.5 oz. Using the empirical rule, what percentage of the oranges from the orchard weigh between 5 oz. and 6 oz.?

Answer 1

5 oz and 6 oz are one standard deviation below and above the mean (5.5 ± 0.5). By the empirical rule about 68% of values lie within one standard deviation, so approximately 68% of the oranges weigh between 5 and 6 oz.