A measure of spread that is an alternative to the standard deviation (SD) is the mean absolute
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A measure of spread that is an alternative to the standard deviation (SD) is the mean absolute deviation
(MAD). For a data set containing values x1, ..., xn, the mean absolute deviation is given by
a. Compute the mean ̄x for the data set 1, 3, 4, 7, 9.
b. Construct a table like Table 3.5 that contains an additional column for the values
c. Use the table to compute the SD and the MAD.
d. Now consider the data set 1, 3, 4, 7, 9, 30.
Compute the SD and the MAD for this data set.
e. Which measure of spread is more resistant, the SD or the MAD? Explain.
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