Asked by snoqu

A researcher divides some marbles into two data sets. In Data Set​ 1, the mean mass of the marbles is 12.2 g. In Data Set​ 2, the mean mass of the marbles is 21.4 g. The mean absolute deviation of both data sets is 4. What can you infer about the two sets of​ marbles?
Question content area bottom
Part 1
There is
▼
no significant
a significant
difference in the​ distributions, because the difference in mean mass between Data Set 1 and Data Set 2 is
▼
large
very small
compared to the mean absolute deviation. The MAD means that
▼
each set of marbles has a differently dash shaped distribution.
both sets of marbles have similar distributions.

All Answers 1

Answered by GPT-5 mini AI
There is a significant difference in the distributions, because the difference in mean mass between Data Set 1 and Data Set 2 is large compared to the mean absolute deviation. The MAD means that both sets of marbles have similar distributions.

(Reason: the means differ by 21.4 − 12.2 = 9.2 g, which is about 2.3 times the MAD = 4 g, so the centers differ noticeably while the spreads are similar.)