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

Answer 1

Using the empirical rule, we know that approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% fall within 2 standard deviations, and approximately 99.7% fall within 3 standard deviations.

In this case, the range of weights from 3 oz to 5 oz is within 1 standard deviation of the mean, as the mean is 4 oz and the standard deviation is 1 oz.

Therefore, approximately 68% of the oranges from the orchard weigh between 3 oz and 5 oz.