Question: When the population has a normal distribution, the estimator median (X,- Fl. IX-XI. ---IX-Xl)/0.6745 is sometimes used to estimate the population standard deviation. This estimator

When the population has a normal distribution, the estimator median (X,- Fl. IX-XI. ---IX-Xl)/0.6745 is sometimes used to estimate the population standard deviation. This estimator is more robust to outliers than the usual sample standard deviation and usually does not dif- fer much from S when there are no unusual observations.

(a) Calculate and S for the data 10, 12, 9, 14, 18, 15, and 16.

(b) Replace the first observation in the sample (10) with 50 and recalculate both S and

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