He 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

find the mean absolute deviation (mad) of the data set.

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,

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,

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

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

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step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct