Find the mean, and put these numbers all in order from least to greatest
173 279 636 357 384 320 288 420 401 389
To find the mean of these numbers, you need to add them all together and then divide by the total number of numbers.
Adding the numbers: 173 + 279 + 636 + 357 + 384 + 320 + 288 + 420 + 401 + 389 = 3,447
Total number of numbers: 10
Mean: 3447 / 10 = 344.7
Now let's put the numbers in order from least to greatest:
173, 279, 288, 320, 357, 384, 389, 401, 420, 636
Find the mean absolute deviation (MAD) of your data. Show all the steps.
To find the mean absolute deviation (MAD), you need to follow these steps:
1. Find the mean of the data. In this case, the mean is 344.7.
2. Subtract the mean from each number in the data set.
173 - 344.7 = -171.7
279 - 344.7 = -65.7
288 - 344.7 = -56.7
320 - 344.7 = -24.7
357 - 344.7 = 12.3
384 - 344.7 = 39.3
389 - 344.7 = 44.3
401 - 344.7 = 56.3
420 - 344.7 = 75.3
636 - 344.7 = 291.3
3. Take the absolute value of each of these differences.
|-171.7| = 171.7
|-65.7| = 65.7
|-56.7| = 56.7
|-24.7| = 24.7
|12.3| = 12.3
|39.3| = 39.3
|44.3| = 44.3
|56.3| = 56.3
|75.3| = 75.3
|291.3| = 291.3
4. Find the mean of these absolute differences.
(171.7 + 65.7 + 56.7 + 24.7 + 12.3 + 39.3 + 44.3 + 56.3 + 75.3 + 291.3) / 10 = 782.1 / 10 = 78.21
Therefore, the mean absolute deviation (MAD) of the data is 78.21.