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2 years ago

What is the mean absolute deviation of the data set? Round to the nearest hundredth if necessary.

Mathematics

1 answer:

hammer [34]2 years ago

6 0

The mean absolute deviation, rounded to the nearest hundredth, is: 11.67 calories.

<h3>How to Find the Mean Absolute Deviation?</h3>

To find the mean absolute deviation, find the mean of the data then find the average distance of each data point from the mean.

Given the data, 61, 42, 52, 27, 35, 23:

Mean = (61 + 42 + 52 + 27 + 35 + 23)/6

Mean = 240/6

Mean = 40

Mean absolute deviation = [(61 - 40) + ( 42 - 40) + ( 52 - 40) + ( 27 - 40) + ( 35 - 40) + ( 23 - 40) 6 = (21) + (2) + (12) + (13) + (5) + (17)] / 6 = 70/6

Mean Absolute Deviation = 11.67 calories.

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The measure of the angle B is 30 degree after applying the sin law of triangle.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle shown in the picture:

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Janet is fencing a triangular portion of her yard, which has measurements as shown. She needs fencing for the two sides of the y

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The approximate length of fencing she needs will be 41.42 feet. Then the correct option is D.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Janet is fencing a triangular portion of her yard, which has measurements as shown.

She postulates fencing for the two sides of the yard that do not include the house.

She also requires fencing for the third side of the yard, except for the portion taken up by the house.

Then the approximate length of fencing she needs will be

Let x be the length of fencing.

Then we have

⇒ x + 100 + 100

Then we have

x = c – 100

Then the value of c is given by the Pythagoras theorem. Then we have

c² = 100² + 100²

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x = 141.42 – 100

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