What is the mean absolute deviation of 3, 8, 10, 4, 9

Mathematics

1 answer:

Scrat [10]3 years ago

8 0

Answer:

2.64

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

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Find two positive numbers if their ratio is 8:5 and the difference is 150.

natima [27]

Let's call the two numbers x and y. We can write a system of equations to describe the situation:

5x = 8y

x - y = 150

Let's solve the first equation for x:

x = 8y/5

Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:

(8y/5) - y = 150

Simplify:

3y/5 = 150

3y = 750

y = 250

If y = 250, then x is:

x = 8(250)/5 = 400

The answer is 250 and 400.

7 0

3 years ago

A is plotted on a coordinate grid at start bracket 3 and 1 over 2, negative 1 end bracket.. Choose the correct grid that best sh

dalvyx [7]

Answer:

A coordinate grid that shows a point located halfway between 3 and 4 units to the right and 1 unit down from the origin

Step-by-step explanation:

In a coordinate grid, the y axis is plotted on the vertical axis and the x axis is plotted on the horizontal axis. A is plotted on a coordinate grid at ( $3\frac{1}{2},-1$ ) i.e ( $\frac{7}{2},-1$ ). Above the origin is the positive y axis, below the origin is the negative y axis, right of the origin is the positive x axis and left of the origin is the negative x axis.

To plot A on the coordinate axis we need to locate $3\frac{1}{2}$ on the x axis and -1 on the y axis. $3\frac{1}{2}$ is halfway between 3 and 4, since the x coordinate is positive it is located to the right between 3 and 4 and since the y coordinate is negative it is located 1 unit down from the origin.