The following data shows the weight, in pounds, of 6 bags: 6, 4, 8, 7, 8, 9 What is the value of the mean absolute deviation of the weight of the bags, and what does it represent about the weight of a bag?

Respuesta :

Answer:

[tex]MAD = 1.333[/tex] Pounds

Step-by-step explanation:

The first step is to find the , mean of the data 6, 4, 8, 7, 8, 9

[tex]\mu= \frac{6 + 4 + 8 + 7 + 8 + 9}{6}\\\\\mu = 7[/tex]

Now we find the difference between each data [tex]x_i[/tex] and the mean . [tex]|\mu-x_i|[/tex]

[tex]| 7-6 | = 1\\\\| 7-4 | = 3\\\\| 7-8 | = 1\\\\| 7-7 | = 0\\\\| 7-8 | = 1\\\\| 7-9 | = 2[/tex]

Now we add all the difference and then we divide the result between the data number [tex]n=6[/tex]:

[tex]MAD = \frac{1 + 3+ 1 + 0 +1 +2}{6}[/tex]

[tex]MAD = 1.333[/tex] Pounds

This value means that the average difference between the weight of each bag and the average weight of the bags is 1,333 pounds.

The mean deviation represents a measure of how scattered the data are with respect to the mean. That is, the DMA measures how much the weight of a bag differs from the average weight of the 6 bags

Answer: The first choice

Step-by-step explanation:

I got this question right! 100%!

Hope this helps!

By the way expert on a different page, it says it's the first option so i don't know what you're talking about.

...