Question

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

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?

Answer 1

I'd say C Sets 2 and 3 contain outliers.

Explanation:

Set 2 has an outlier of 90, while set 3 has an outlier of 40. 40 isn't as much of an outlier as 90 is, so I'm not absolutely sure. Cmakes the most sense though.

Answer 2

Answer: Third option.

Explanation:

The standard deviation increases as we have more values that are far away from the mean.

For example, in data set 2, we can see that most of hour points are between 38 and 49, but we also have a point with a value of 90, so we may expect that this data set has a big standard deviation.

The data set 3 is similar, most of our points are between 24 and 31, and we have a value that is on 40, so again we have an outlier that increases the value of the standard deviation.

Noticing it we can conclude that data set 2 and data set 3 have a greater standard deviation than set 1.

The correct option is the third option.