Let a population consist of the values cigarettes, cigarettes, and cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?.

The "sample" with "mean absolute deviation" indicate about a sample mean absolute deviation is being used as an estimator of the mean absolute deviation of a population

Mean of the sample MAD=3.3
Population MAD =6.4

What does this indicate about a sample mean absolute deviation used as an estimator of the mean absolute deviation of a population?

Generally, The MAD measures the average dispersion around the mean of a given data collection.

[tex]1/n \sum_i-1^{n} |x_i -m(X)|[/tex]

In conclusion, for the corresponding same to mean

the sample mean absolute deviation

7,7 ↔ 0

7,21 ↔ 7

7,22 ↔ 7.5

21,7 ↔ 7

21,21 ↔ 0

21,22 ↔ 0.5

22,7 ↔ 7.5

Therefore

Mean of the sample MAD=3.3
Population MAD =6.4

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What does this indicate about a sample mean absolute deviation used as an estimator of the mean absolute deviation of a​ population?

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What does this indicate about a sample mean absolute deviation used as an estimator of the mean absolute deviation of a population?