Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.
MAD of the data represented by dot plot in the picture will be Option A.
Elements in the given dot plot are,
3, 4, 5, 5, 5, 5, 5, 5, 6, 7
Steps to be followed for the mean absolute deviation of this data set.
- Find the mean of the data set
- Find the absolute distance of each element from the mean
- Find the average distance of all the elements which will be MAD of the data set.
Step - 1 :
Mean of the data set = ![\frac{\text{Total of the data}}{\text{Total number of elements}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20of%20the%20data%7D%7D%7B%5Ctext%7BTotal%20number%20of%20elements%7D%7D)
= ![\frac{3+4+5+5+5+5+5+5+6+7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%2B4%2B5%2B5%2B5%2B5%2B5%2B5%2B6%2B7%7D%7B10%7D)
= ![\frac{50}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B10%7D)
(As shown on the dot plot)
Step - 2 :
Absolute distance of each element from the mean of the data set,
3 - 5 = |-2| = 2
4 - 5 = |-1| = 1
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
6 - 5 = 1
7 - 5 = 2
Step - 3 :
Average of the absolute distance = ![\frac{2+1+0+0+0+0+0+0+1+2}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B1%2B0%2B0%2B0%2B0%2B0%2B0%2B1%2B2%7D%7B10%7D)
= ![\frac{6}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B10%7D)
= 0.6
Therefore, Option A will be the correct option.
Learn more,
brainly.com/question/24378074
Answer:
147 cubic inches
Step-by-step explanation:
volume of the prism is length x breadth x height
3.5 x 7 x 6=147
It's 6 because you times 4.80 times 1.25 and it's equivalent to 6
87.1
remember a²+b²=c²
take the root on both sides, then you get what the calculation in the screenshot means.
Answer:
to help, i will demonstrate the first problem. This is a right triangle. We know this because it is a 45-45-90 triangle.
Because of this we know that the sides are 2 and 2 (they must be equal).
Now we need the hypotenuse- the side across from the right angle (in other words, the diagonal line).
To do this we take 2 times the square root of two. This makes it 2.82.