Question

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Answer 1

3

Explanation:

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Given Question

For the expression
`2x-5`, evaluate it for
`x = (0, 1, 2, 3, 4, 5)`.

From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:

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Evaluating the expression for the given values of x:

`x=0 \implies 2(0)-5=-5`

`x=1 \implies 2(1)-5=-3`

`x=2 \implies 2(2)-5=-1`

`x=3 \implies 2(3)-5=1`

`x=4 \implies 2(4)-5=3`

`x=5 \implies 2(5)-5=5`

Evaluated set of values: -5, -3, -1, 1, 3, 5

To find the Mean Absolute Deviation (MAD):

1. Calculate the mean (by summing the data values and dividing by the number of values)
2. Subtract the mean from each value in the data set and take the absolute value of each result.
3. Sum the absolute values from step 2.
4. Divide by the number of values.

`\sf Mean=((-5)+(-3)+(-1)+1+3+5)/(6)=0`

Absolute values:

`\sf|-5-0|=5`

`\sf|-3-0|=3`

`\sf|-1-0|=1`

`\sf|1-0|=1`

`\sf|3-0|=3`

`\sf|5-0|=5`

Sum of absolute values = 18

`\sf \implies MAD=(18)/(6)=3`