Question

mean absolute deviation of the numbers 231,417,327,279,376,432,274,198,734,495,274,528,365,645,437

Answer 1

To find the mean absolute deviation, we first need to calculate the mean of these numbers:

(231 + 417 + 327 + 279 + 376 + 432 + 274 + 198 + 734 + 495 + 274 + 528 + 365 + 645 + 437) / 15 = 385

The mean is 385.

Next, we find the absolute deviation of each number from the mean. To do this, we subtract the mean from each number and take the absolute value:

|231 - 385| = 154
|417 - 385| = 32
|327 - 385| = 58
|279 - 385| = 106
|376 - 385| = 9
|432 - 385| = 47
|274 - 385| = 111
|198 - 385| = 187
|734 - 385| = 349
|495 - 385| = 110
|274 - 385| = 111
|528 - 385| = 143
|365 - 385| = 20
|645 - 385| = 260
|437 - 385| = 52

Now we add up all the absolute deviations and divide by the total number of numbers (15):

(154 + 32 + 58 + 106 + 9 + 47 + 111 + 187 + 349 + 110 + 111 + 143 + 20 + 260 + 52) / 15 = 120.27

The mean absolute deviation is approximately 120.27.