The numbers 5, 10, 15, and 20 are written on slips of paper, which are then placed in a hat. Two slips are randomly selected with replacement. Find the mean of the samples.Round off your answer to the nearest tenth.

Sure, here are the steps to find the mean of the samples:

Step 1: Calculate the mean of the population. The population in this case is the numbers 5, 10, 15, and 20. The mean (or average) is calculated by adding all the numbers together and then dividing by the number of numbers.

(5 + 10 + 15 + 20) / 4 = 50 / 4 = 12.5

Step 2: Calculate the mean of all possible samples of size 2. Since we are selecting with replacement, we can have the following pairs: (5,5), (5,10), (5,15), (5,20), (10,5), (10,10), (10,15), (10,20), (15,5), (15,10), (15,15), (15,20), (20,5), (20,10), (20,15), (20,20).

Calculate the mean of each pair and then calculate the overall mean of these means.

Step 3: Round off your answer to the nearest tenth.

Note: The mean of a sample is the same as the mean of the population from which it is drawn, provided the sample is drawn randomly. So, the mean of the samples will also be 12.5.