Question

(1 pt)
Vicki measured the midnight temperature at four locations in Alaska. The temperatures, in degrees Fahrenheit, were –7, –2, 1, and 4.

What is the mean absolute deviation of the temperatures?

Answer 1

First add up all the numbers. Then divide that result by 4. What do you get?

Answer 2

-1?

Answer 3

@jim_thompson5910

Answer 4

good

Answer 5

that's the mean

Answer 6

Set up a number line. Plot the mean -1 on the number line

Answer 7

Focus on the first data value -7 and the mean -1

How far is -7 from -1 on the number line?

Answer 8

6?

Answer 9

yep

now focus on the data value -2 (second value) and the mean -1

how far is -2 from the mean -1 ?

Answer 10

1

Answer 11

yep

Answer 12

now focus on the data value 1 (third value) and the mean -1

how far is 1 from the mean -1 ?

Answer 13

2

Answer 14

good

Answer 15

how far is 4 (last data value) from the mean -1 ?

Answer 16

-4 from 1 is 5?

Answer 17

5

Answer 18

4 from -1 sorry

Answer 19

So we have these distances
6
1
2
5


Add up those distances
6+1+2+5 = 14


Then divide that sum by 4 (because there are 4 values in the original data set)


14/4 = 7/2 = 3.5


So the mean absolute deviation (MAD) is 3.5


What does the MAD represent? It is the average distance each point is from the mean.


It's also known as the mean deviation

http://www.mathsisfun.com/data/mean-deviation.html

Answer 20

Thank you so so much!!!

Answer 21

The larger the MAD is, the more spread out the data is. The smaller the MAD, the more clumped the data is.

Answer 22

you're welcome

Answer 23

I see, ty!