Question

Question 1

Answer 1

Answer:

$M.A.D= 4.9$

Step-by-step explanation:

Given

12.7, 22, 23.5, 24, 11, 22

Required

Determine the M.A.D

Start by calculating the Mean

$Mean = \frac{\sum x}{n}$

In this case, n = 6

So:

$Mean = \frac{12.7 + 22 + 23.5 + 24 + 11 + 22}{6}$

$Mean = \frac{115.2}{6}$

$Mean = 19.2$

Subtract the mean from each element

$12.7 - 19.2 = -6.5$

$22 - 19.2 = 2.8$

$23.5 - 19.2 = 4.3$

$24 - 19.2 = 4.8$

$11 - 19.2 = -8.2$

$22 - 19.2 = 2.8$

Take absolute value of the results above

$|-6.5| = 6.5$

$|2.8| = 2.8$

$|4.3| = 4.3$

$|4.8| = 4.8$

$|-8.2| = 8.2$

$|2.8| = 2.8$

The mean of the above gives the MAD

$M.A.D= \frac{\sum |x - u|}{n}$

$M.A.D= \frac{6.5 + 2.8 + 4.3 + 4.8 + 8.2 + 2.8}{6}$

$M.A.D= \frac{29.4}{6}$

$M.A.D= 4.9$