Question

The weight of oranges growing in an orchard is normally distributed with a mean weight of 4 oz. and a standard deviation of 0.5 oz. Using the empirical rule, what percentage of the oranges from the orchard weigh between 3 oz. and 5 oz.?

Answer 1

3 oz and 5 oz are 2 standard deviations below and above the mean (4 ± 2×0.5), so by the empirical rule about 95% of the oranges lie between 3 and 5 oz.