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 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.

Transcribed Image Text:

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