Question

Find the mean absolute deviation of the temperatures over 5 days in Austin, TX.

Answer 1

step 1

Find out the mean

mean=(80+77+79+78+76)/5

mean=390/5

mean=78 degrees

step 2

Take each number in the data set, subtract the mean, and take the absolute value

so

80-78=2

78-77=1

79-78=1

78-78=0

78-76=2

step 3

Take the sum of the absolute values

S=(2+1+1+0+2)

S=6

step 4

Find out the mean absolute deviation

Divide the sum in step 3 by the total number of values in the data set

so

MAD=6/5

MAD=1.2 degrees