Question

The values for three different sets of data are shown below.

1
52, 55, 59, 53, 50
2
40, 49, 43, 42, 90, 38
3
24, 30, 26, 31, 40, 26

Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?

-Sets 2 and 3 have an even number of values.
-Set 1 has the least number of values.
-Sets 2 and 3 contain outliers.
-Set 1 contains an outlier.

Answer 1

I would say C Sets 2 and 3 contain outliers.

Explanation:

Set 2 has an outlier of 90, and set 3 contains an outlier of 40. 40 is not as much of an outlier as 90, so I'm not absolutely sure.

Answer 2

-Sets 2 and 3 contain outliers.

Explanation:

Mean is the average value of the set. Mean deviation is the difference of the values of the set when compared to the mean.

In set 1 the values are between 50 and 60. This means that the mean will also be between 50 and 60.

In set 2 there is one outlier that is 38. So, the range of the values are between 38 and 90. More values are between 30 and 40 so the mean will be in this range. So (90 - the mean in the range between 30 and 40) will be a large number.

The same goes for set 3.