To determine how many mean absolute deviations separate the means of two data sets, you first need to know the difference between their means. You can then divide this difference by the mean absolute deviation (MAD) of the data sets.
Given that the mean absolute deviation of each data set is 1.5, if you denote the means of the two data sets as \( \text{Mean}_1 \) and \( \text{Mean}_2 \), the number of mean absolute deviations separating the two means can be calculated as follows:
\[ \text{Number of MADs} = \frac{|\text{Mean}_1 - \text{Mean}_2|}{1.5} \]
To find the exact number of mean absolute deviations separating the two sets, you will need the actual values of \( \text{Mean}_1 \) and \( \text{Mean}_2 \). If you have that information, you can substitute it into the formula above to calculate the result. If you provide the means of the two data sets, I can help you with the calculation.