The values for three sets of data are shown below. data data set values 1 42, 48, 50, 88, 49 2 63, 29, 35, 28, 30 3 2, 5, 3, 8 without calculating any statistics, anna knows that data set 3 would have the least mean absolute deviation among the three sets. which statement explains how she knows?

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

The mean absolute deviation is a  measure of spread of the data.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

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