8. a researcher divides some marbles into two data sets. in data set 1, the mean mass of the marbles is 13.6…

8. a researcher divides some marbles into two data sets. in data set 1, the mean mass of the marbles is 13.6 grams. in data set 2, the mean mass of the marbles is 14 grams. the mad of both data sets is 2. what can you infer about the two sets of marbles?

8. a researcher divides some marbles into two data sets. in data set 1, the mean mass of the marbles is 13.6 grams. in data set 2, the mean mass of the marbles is 14 grams. the mad of both data sets is 2. what can you infer about the two sets of marbles?

Answer

Explanation:

Step1: Understand mean and MAD

The mean gives the average mass. Data - set 1 has mean 13.6 g and Data - set 2 has mean 14 g. MAD (Mean Absolute Deviation) measures the variability. Both have MAD = 2.

Step2: Analyze the means

The mean of Data - set 2 (14 g) is greater than the mean of Data - set 1 (13.6 g). So, on average, marbles in Data - set 2 are heavier.

Step3: Analyze the MADs

Since both data - sets have the same MAD (2), they have the same amount of variability in the masses of their marbles.

Answer:

On average, marbles in Data - set 2 are heavier than those in Data - set 1, and both data - sets have the same amount of variability in the masses of their marbles.