Question

A music shop has 5 different brands of guitar strings. The 5 different brands sell for $16, $20, $15, $11, and $13.



What is the mean absolute deviation of the prices? Round to the nearest cent, if necessary.

@data_LG2

Answer 1

The mean is 19. Now I need help with the rest.

Answer 2

@LegendarySadist

Answer 3

Do you know the formula for MAD?
Here it is how it looks like:

It will be a long process...
Steps:
1. You already find the mean :)
2. Get the difference of the mean from each value
3. Get the sum of each differences
4. Then divide it by the number of the data set.

Answer 4

so difference = subtracting right? but what do i subtract it (19) with?

Answer 5

wait, for the mean are you sure you'll get 19?

Answer 6

yeppers. :)

Answer 7

what is 16+20+15+11+13 ?

Answer 8

oh, i got 15

Answer 9

yep :) Now we got the same thing.

Step number two: \(\sf x-x_{mean}\)

For example, you have x= 16 and xmean is 15, so 16-15 is 1.
Do this for x=20, x= 15, x=11 and x=13 and tell me what you get :)

Answer 10

20 - 15= 5 11- 13= 2

Answer 11

hmm.. given data-mean
so it will be like
16-15 = 1
20-15 = ?
15-15= ?
11-15 =?
13-15 = ?

Answer 12

oh, i see sorry

Answer 13

no worries :)

Answer 14

20-15 = 5
15-15= 0
11-15 = 4
13-15 = 2

Answer 15

right, since we are getting the absolute values, we'll ignore the negative differences:)
So far we have the differences: 1, 5, 0, 4, 2

now let's move to step 3:

Add the values you get from step 2 :)