## anonymous 5 years ago Suppose 95% of the data fall between 12.4 and 46.8. Using the empirical rule, gve an estimate of the standard deviation. Thanks

The empirical rule says that about: 68% of the data falls between +/- 1 standard deviation; 95% of the data falls between +/- 2 standard deviations; 99.7% of the data falls between +/- 3 standard deviations. You have the second case. This means that $46.8 - 12.4\approx4\sigma\rightarrow\sigma \approx8.6$