Answer: 9.
Step-by-step explanation: To find the MAD (mean absolute deviation) we need to do the following steps below:
1. Find the mean.
2. Subtract the mean from the numbers of the data.
3. Add the results and divide to find the MAD.
The steps are done below:
1. Find the mean: In order to find the mean of a data set, you need to add all the numbers and then divide the result by how many numbers there are in the data set. In this problem, there are 10 numbers in the data set, so whatever we get for adding the data numbers together needs to be divided by 10.
- 26 + 30 + 45 + 43 + 26 + 14 + 28 + 33 + 56 + 29 = 330.
- 330 / 10 = 33.
2. Subtract the mean from the numbers of the data: To do this, we need to subtract 33 from all the numbers on the data. The following is done below. (*Note: You may notice that most equations like 26 - 33 would be in the negatives, but for data, it has to be positive. If you ever run into a situation like that, you simply just make it positive).
- 26 - 33 = 7.
- 30 - 33 = 3.
- 45 - 33 = 12.
- 43 - 33 = 10.
- 26 - 33 = 7.
- 14 - 33 = 19.
- 28 - 33 = 5.
- 33 - 33 = 0.
- 56 - 33 = 23.
- 29 - 33 = 4.
3. Add the results and divide to find the MAD: Now that we have the results, we add those numbers and then divide to find the MAD. Make sure that when you divide that it is 10 that you're dividing because once again, there are 10 numbers for the results.
- 7 + 3 + 12 + 10 + 7 + 19 + 5 + 0 + 23 + 4 = 90.
- 90 / 10 = 9.
Therefore, 9 is the MAD.
Let me know if this is right! :)