What is the mean absolute deviation of the data set? 12, 15, 7, 4, 9, 10, 9, 6

1 answer:

3 0

Here is an example:
Find the MAD of 2,4,6,8 Step 1 : Find the mean of the data : (2+4+6+8) / 4 = 20/5 = 4 Step 2 : Find the distance between each data and mean. Distance between 2 and 5 is 3 Distance between 4 and 5 is 1 Distance between 6 and 5 is 1 Distance between 8 and 5 is 3
Step 3 : Add all the distances : 3+1+1+3 = 8
Step 4 : Divide it by the number of data : 8 / 4 = 2 2 is the average absolute deviation.

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Rainbow [258]

That’s kinda gross u might wanna wipe it down with a clorox wipe my good sir

5 0

2 years ago

Select all that apply. Solve for x , 0 < x < 360;

Vesna [10]

Answer:

All options are correct

Step-by-step explanation:

1. Note that

$\cos 2x=2\cos ^2x-1.$

2. Substitute previous expression into the equation:

$2\cos ^2x-1+\cos^2x=1,\\ \\3\cos^2x=2,\\ \\\cos^2x=\dfrac{2}{3},\\ \\\cos x=\pm\sqrt{\dfrac{2}{3}}.$

3. If 0° < x < 360°, then

$x=\arccos \left(\sqrt{\dfrac{2}{3}}\right)\approx 35^{\circ};$ ;

$x=180^{\circ}-35^{\circ}=145^{\circ};$

$x=180^{\circ}+35^{\circ}=215^{\circ};$

$x=360^{\circ}-35^{\circ}=325^{\circ}.$

All options are true.

Or you can solve this equation graphically. Plot the graph of the function $y=\cos2x+cos^2x$ that represents the left side of the equation and the graph of the function $y=1$ that represents the right side of the equation. their common points are solutions.