2-2

To solve this problem, you have to find the arithmetic mean of a set of numbers that are derived from set \( X \) based on the conditions provided:

1. Multiply by 2.
2. Subtract by 3.
3. Multiply by -3.
4. Divide by -3.

Follow these steps to find the arithmetic mean for each condition:

1. Multiply by 2:

   • Each number in set \( X \) will be doubled. Calculate the mean of \( X \) and then double it.

2. Subtract by 3:

   • Subtract 3 from each number in set \( X \). Calculate the mean of \( X \) and then subtract 3.

3. Multiply by -3:

   • Each number in set \( X \) will be tripled and negated. Calculate the mean of \( X \) and then multiply by -3.

4. Divide by -3:

   • Each number in set \( X \) will be divided by -3. Calculate the mean of \( X \) and then divide by -3.

Once you apply these transformations, you can calculate the arithmetic mean for each case.