Question: When the population has a normal distribution, the estimator is sometimes used to estimate the population standard deviation. This estimator is more robust to outliers

When the population has a normal distribution, the estimator is sometimes used to estimate the population standard deviation.

ở = median (JX - X). |X2 - X, * |X, - X|)/0.6745

This estimator is more robust to outliers than the usual sample standard deviation and usually does not differ 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 σ.

= median (JX - X). |X2 - X, * |X, - X|)/0.6745

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