Question

He Alstons ran a family relay race. Below are the distances that each of the six family members ran (in kilometers).

Answer 1

Just add all of the numbers up and then divide 6 because they're 6 families.

Answer 2

Answer:

The mean absolute deviation of the data set is 0.2.

Step-by-step explanation:

Given : The Alstons ran a family relay race. Below are the distances that each of the six family members ran (in kilometers).

0.3, 0.6, 0.5, 1, 0.4, 0.8

To find : The mean absolute deviation (MAD) of the data set ?

Solution :

Step 1 - Calculate the mean,

$m=\frac{0.3+0.6+0.5+1+0.4+0.8}{6}$

$m=\frac{3.6}{6}$

$m=0.6$

Step 2 - Calculate the distance between each data point and the mean.

Data points       Distance from mean

   0.3                       |0.3-0.6|=0.3

   0.6                       |0.6-0.6|=0

   0.5                       |0.5-0.6|=0.1

     1                         |1-0.6|=0.4

   0.4                       |0.4-0.6|=0.2

   0.8                       |0.8-0.6|=0.2

Step 3 - Add distance together,

$0.3+0+0.1+0.4+0.2+0.2=1.2$

Step 4 - Divide the sum by number of data points,

$MAD=\frac{1.2}{6}=0.2$

Therefore, The mean absolute deviation of the data set is 0.2.