1 / 13

Mean Absolute Deviation

Mean Absolute Deviation. Vocabulary. Deviation: The distance that two points are separated from each other. Deviation from the mean : How far the data point is from the mean. To find this distance, subtract the two values (the data point and the mean).

Download Presentation

Mean Absolute Deviation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Mean Absolute Deviation

  2. Vocabulary • Deviation: The distance that two points are separated from each other. • Deviation from the mean: How far the data point is from the mean. To find this distance, subtract the two values (the data point and the mean). • Mean absolute deviation (MAD): the average distance of all the data points from their mean. This will tell you how spread out your data is around the mean.

  3. Bigger MAD- more spread out.Smaller MAD- less spread out.

  4. Example 1 Find the mean absolute deviation of the following test scores: 87, 94, 72, 65, 97, 77

  5. 87, 94, 72, 65, 97, 77 87 94 72 65 97 77 Step 1: Write the data in the first column of the table.

  6. 87, 94, 72, 65, 97, 77 87 94 72 65 97 + 77 492 ÷ 6 = 82 87 94 72 65 97 77 82 82 82 82 82 82 Step 2: Calculate the mean of the data and write that in each cell of column 2.

  7. 87, 94, 72, 65, 97, 77 -5 -12 10 17 -15 5 87 94 72 65 97 77 82 82 82 82 82 82 82 – 87 = -5 82 – 94 = -12 82 – 72 = 10 82 – 65 = 17 82– 97 = -15 82 – 77 = 5 Step 3: Subtract column 1 from column 2 and write the difference in column 3.

  8. 87, 94, 72, 65, 97, 77 -5 -12 10 17 -15 5 5 12 10 17 15 5 87 94 72 65 97 77 82 82 82 82 82 82 Step 4: Rewrite all the numbers from column 3 as positive numbers in column 4 (Absolute Value).

  9. 87, 94, 72, 65, 97, 77 -5 -12 10 17 -15 5 64÷ 6 = 10.7 5 12 10 17 15 5 87 94 72 65 97 77 82 82 82 82 82 82 64 6 10.7 Step 5: Calculate the mean of the data in column 4, and you’re done! This is the MAD.

  10. Example 2 Click here to check your answer Find the mean absolute deviation of the data. Round to the nearest tenth, if necessary. 87, 75, 85, 77, 74, 82

  11. 87, 75, 85, 77, 74, 82 Solution:

  12. Video

  13. Practice:MAD Day 1 Worksheet

More Related