Question

The data below show the weights, in pounds, of a group of professional football players.

Answer 1

Answer:

The Mean Absolute Deviation is 11

Step-by-step explanation:

Given:

325, 310, 289, 288, 285, 285, 285, 280, 280 and 273

Mean = 290

Required:

Calculate the Mean Absolute Deviation

Provided that we have the value of the mean to be 290 from the question; the following steps will calculate the Mean Absolute Deviation

Step 1: Subtract the mean weight from each weight

325 - 290 = 35

310 - 290 = 20

289 - 290 = -1

288 - 290 = -2

285 - 290 = -5

285 - 290 = -5

285 - 290 = -5

280 - 290 = -10

280 - 290 = -10

273 - 290 = -17

Step 2: Calculate the absolute value of the each results above

|35| = 35

|20| = 20

|-1| = 1

|-2| = 2

|-5| = 5

|-5| = 5

|-5| = 5

|-10| = 10

|-10| = 10

|-17| = 17

Step 3: Calculate the mean of the data above

Mean Absolute Value = $\frac{35 + 20 + 1 + 2 + 5 + 5 + 5 + 10 + 10 + 17}{10}$

Mean Absolute Value = $\frac{110}{10}$

Mean Absolute Value = 11

Hence, the Mean Absolute Deviation is 11