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thuzar
02.08.2019 •
Mathematics
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?
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Ответ:
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.
Step-by-step explanation:The mean absolute deviation is a measure of spread of the data.
If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation. if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.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.
Ответ: