when the population distribution is normal, the statistic median {1X1-XI. . . .

Question

when the population distribution is normal, the statistic median {1X1-XI. . . . , Xn-)/0.6745 can be used to estimate . This estimator is more resistant to the effects of outliers (observations far from the bulk of the data) than is the sample standard deviation. Compute both the corresponding point estimate and s for the data below. (Round your answers to three decimal places.) 24.76 26.09 26.40 26.57 26.81 27.30 27.46 27.69 27.89 28.09 28.14 28.19 28.43 28.64 28.65 29.02 29.26 29.28 29.72 30.56 point estimate 20.825 sample standard deviation s =

Explanation / Answer

Point estimate will be sample mean

sample mean = sum of all observations/20 = 27.948

Standard deviation = 1.374

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