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-BARSIC- [3]
2 years ago
5

The mean absolute deviation for 1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,5

Mathematics
1 answer:
antoniya [11.8K]2 years ago
3 0

Answer:

7/10

Step-by-step explanation:

To find the MAD or mean of absolute deviation, we first have to find the mean.

Part I. Finding the mean.

To find the mean we add all the numbers up and divide it by the total number of numbers.

So we get:

(1+2+2+2+3+3+3+3+3+3+3+3+4+4+4+4+4+4+4+5) as our sum. This adds up to a total of 60. Since we have a total of 20 numbers, we divide 60 by 20 and get 3. So now we need to find the MAD.

Part II. Finding the MAD.

To find the MAD, we take the absolute value of the mean minus the numbers and divide that by the number of numbers. So we get the MAD to be 14/20 or 7/10.

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Answer:

The table in the exercise can be completed with the next results:

  • x          y
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  • 4         <u>11</u>
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Step-by-step explanation:

As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:

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Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:

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When x is 4:

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When x is 6:

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When x is 8:

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At last, <u>to obtain the graph you can use the formula made: y = x + 7</u>, and you'll obtain a graph like the attached picture, <em>where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7</em>.

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