Question: Another useful measure of variation for a data set is the mean absolute deviation (MAD). It is calculated by the formula MAD = |x

Another useful measure of variation for a data set is the mean absolute deviation (MAD). It is calculated by the formula

MAD = ∑ |x – x̅| / n.

(a) Find the mean absolute deviation of the data set in Exercise 15. Compare your result with the sample standard deviation obtained in Exercise 15.


Data set in Exercise 15

16 18 19 17 14 15 17 17 17 16 19 22

(b) Find the mean absolute deviation of the data set in Exercise 16. Compare your result with the sample standard deviation obtained in Exercise 16.


Data set in Exercise 16

24 14 16 14 17 16 14 18 277 291 295 280

16 18 19 17 14 15 17 17 17 16 19 22 24 14 16 14 17 16 14 18 277 291 295 280 268 278 291 277 282 279 296 285 269 293 267 281 286 269 264 299

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