Question

If the weight of boxes of produce is normally distributed with a mean weight of 42 pounds and a standard deviation of 2.3 pounds about 95% of the data falls between which two values

Answer 1

In a normal distribution, about 95% of the data falls within two standard deviations of the mean. Given a mean weight of 42 pounds and a standard deviation of 2.3 pounds, two standard deviations above and below the mean cover a range of 42 ± (2 × 2.3), resulting in a range of approximately 37.4 to 46.6 pounds. Therefore, about 95% of the weights of boxes of produce are expected to fall within this range.