What is mean absolute deviation?

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Posted on Jan 02, 2017

Mean absolute deviation.

Let's break it down into its components.

Mean - Average

Absolute - absolute value - sign doesn't matter - if negative, make positive

Deviation - difference from the mean

Let's do an example. Population 3 7 4 2. Total 16. Mean (Average) 16/4 = 4.

Deviations

3 - 4 = -1 absolute value 1

7 - 4 = 3

4 - 4 = 0

2 - 4 = -2 absolute value 2

Sum of these deviations 1 + 3 + 0 + 2 = 6

Mean (average) of these deviations is 6 / 4 = 1.5.

Good luck,

Paul

Let's break it down into its components.

Mean - Average

Absolute - absolute value - sign doesn't matter - if negative, make positive

Deviation - difference from the mean

Let's do an example. Population 3 7 4 2. Total 16. Mean (Average) 16/4 = 4.

Deviations

3 - 4 = -1 absolute value 1

7 - 4 = 3

4 - 4 = 0

2 - 4 = -2 absolute value 2

Sum of these deviations 1 + 3 + 0 + 2 = 6

Mean (average) of these deviations is 6 / 4 = 1.5.

Good luck,

Paul

Apr 05, 2016 | Texas Instruments TI-30Xa Scientific...

The mean is the arithmetic average, so add up all the numbers and divide by the number of numbers.

The standard deviation is a little more involved. The formula and example are explained here:

Standard Deviation Formulas

Good luck.

Paul

The standard deviation is a little more involved. The formula and example are explained here:

Standard Deviation Formulas

Good luck.

Paul

May 07, 2015 | Office Equipment & Supplies

this will help you solve: https://www.youtube.com/watch?v=z9AJk7TvdpQ

Mar 16, 2015 | Office Equipment & Supplies

It is a value of deviation regardless of sign. That is, negative deviations are considered along with positive deviations.

The classic definition of a deviation is the difference of a value from the standard, average or norm.

The classic definition of a deviation is the difference of a value from the standard, average or norm.

May 20, 2014 | The Learning Company Achieve! Math &...

The standard deviation is a measure of how "tight" the samples are distributed around your mean.

In layman's terms, a small standard deviation indicates that most of your measurements are in the vicinity of the means; a large standard deviation corresponds to readings that are all over the place.

You could also say that the smaller the SD, the more your mean is representative of the data set.

For a better explanation, just look up Standard deviation on Wikipedia!

In layman's terms, a small standard deviation indicates that most of your measurements are in the vicinity of the means; a large standard deviation corresponds to readings that are all over the place.

You could also say that the smaller the SD, the more your mean is representative of the data set.

For a better explanation, just look up Standard deviation on Wikipedia!

May 03, 2014 | Audio Players & Recorders

Add all the numbers together to get the sum.

Divide the sum by the number of numbers to get the mean.

so you have

1,2,3,4, that is 10. divide ten by four. because there are 4 numbers.

you get 2.5. Take each number and subtract 2.5. Discard all the negatives from the pile. So in essence you are taking the above example and subtracting 2.5 from 3 and 4 because the other two are going to be negative. so the answer is 3 - 2.5 and 4 - 2.5 which is 2. then take that 2 and divide by the number of items that you subtracted from which is 2. 2/2 is 1. one is the mean standard deviation.

Divide the sum by the number of numbers to get the mean.

so you have

1,2,3,4, that is 10. divide ten by four. because there are 4 numbers.

you get 2.5. Take each number and subtract 2.5. Discard all the negatives from the pile. So in essence you are taking the above example and subtracting 2.5 from 3 and 4 because the other two are going to be negative. so the answer is 3 - 2.5 and 4 - 2.5 which is 2. then take that 2 and divide by the number of items that you subtracted from which is 2. 2/2 is 1. one is the mean standard deviation.

Apr 17, 2014 | Acer Computers & Internet

As the name says, it's the mean of the absolute deviations. See http://en.wikipedia.org/wiki/Absolute_deviation

May 06, 2013 | Office Equipment & Supplies

Jill. She scored two standard deviations above the mean, while he only scored one-and-a-half standard deviations above the mean.

Sep 11, 2009 | Texas Instruments TI-86 Calculator

standard deviation

calculate mean of a data set:

1. Turn calc. on or press MODE SeTUP

2.Press 3 for STAT

3. Press 1 for VAR

4.Enter values for X column

5. WHen done entering press SHIFT 1

6.Press 5

7.Press 2 to calculate the mean

8.Press =

calculate mean of a data set:

1. Turn calc. on or press MODE SeTUP

2.Press 3 for STAT

3. Press 1 for VAR

4.Enter values for X column

5. WHen done entering press SHIFT 1

6.Press 5

7.Press 2 to calculate the mean

8.Press =

Oct 05, 2008 | Casio FX-115ES Scientific Calculator

Standard deviation is the average root mean squared deviation from the average of the numbers.

Familiarize yourself with the wikipedia page on standard deviation: http://en.wikipedia.org/wiki/Standard_deviation

In this case, your question is easy. The standard deviation is 0, so this means the boys ages are all the same.

So they're all 24/3 = 8 years old.

Proof:

8 + 8 + 8 = 24 <-- satisfies the constraint that the boys ages must total to 24.

Get the standard deviation of these numbers;

8+8+8 / 3 = 8 <-- the average value is 8

The deviation of each boy's age from the average is:

boy 1

--------

8 years old, which deviates from 8 by 0

boy 2

--------

8 years old, which deviates from 8 by 0

boy 3

--------

8 years old, which deviates from 8 by 0

So the deviations are 0, 0 and 0.

To get the standard deviation, you sum the squares of the deviations of each boy, get the average, and square root. So:

0² + 0² + 0² = 0

Average is 0 / 3 = 0

Square root of 0 = 0

So the standard deviation is 0. Which shouldn't be much of a surprise to you. We just had to actually DO the work to show that it was in fact 0.

Familiarize yourself with the wikipedia page on standard deviation: http://en.wikipedia.org/wiki/Standard_deviation

In this case, your question is easy. The standard deviation is 0, so this means the boys ages are all the same.

So they're all 24/3 = 8 years old.

Proof:

8 + 8 + 8 = 24 <-- satisfies the constraint that the boys ages must total to 24.

Get the standard deviation of these numbers;

8+8+8 / 3 = 8 <-- the average value is 8

The deviation of each boy's age from the average is:

boy 1

--------

8 years old, which deviates from 8 by 0

boy 2

--------

8 years old, which deviates from 8 by 0

boy 3

--------

8 years old, which deviates from 8 by 0

So the deviations are 0, 0 and 0.

To get the standard deviation, you sum the squares of the deviations of each boy, get the average, and square root. So:

0² + 0² + 0² = 0

Average is 0 / 3 = 0

Square root of 0 = 0

So the standard deviation is 0. Which shouldn't be much of a surprise to you. We just had to actually DO the work to show that it was in fact 0.

Feb 08, 2008 | Audio Players & Recorders

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