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## #1 2012-09-06 18:24:27

tina123
Member
Registered: 2012-04-29
Posts: 83

### How to get the area of bin from 0 to 6 if frequency of bins are given

If we have data of 352* 288 dimension. and data is represented as histogram with 20 bins . where Each bin have from 0 to 9 . and the frequency of each bin is given below.

255 , 70 , 60 , 50 ,10 , 5 ,4 , 4 , 60, 50 , 30 , 10 , 5 , 2, 2 , 1 , 0 , 5 , 3, 3

The issue is : I need to find area from
bin 7 to 13 : frequency are 60 ,50,,30,10,5

How to do that ?
Area meant number of data. like 3*3 . area will be 9.
That meant area is number of  data . Since frequency represent the occurence of pixels .Can we say that area will be sum of frequency ?

Please help me to get the area of bin from 7 to 13 in which frequency are :
60 ,50,30,10,5

Edited:

one way is defined in calculus i-e " Area under the curve . "
see Finding Areas using Definite Integration in this link : http://www.intmath.com/integration/3-area-under-curve.php

Now in our case we have low bound is i = 7 and upper bound i = 13 .
then area would be f(b) - f(a) = 13 - 7 = 6
Area could not be 6 .. its wrong .
How  can we get area under the histogram curve .
thanks

Last edited by tina123 (2012-09-06 18:46:46)

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## #2 2012-09-06 21:15:31

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

Hi tina123;

I am not sure what you mean. Please look here so that you will understand a little better and maybe can phrase the question so that I can understand.

http://quarknet.fnal.gov/toolkits/ati/histograms.html

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #3 2012-09-06 22:51:58

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

okkkk Well i think if we use "  area under the curve  " from calculus .
then area calculation would be from bin 5 to bin 10 ..
how ???
Well we have interval  between bin 5 to bin 10 .
so we have total 5 , 6 , 7 , 8 , 9 , 10 intervals in bin range 5 to 10 .
and frequency corsponding to each bin is calculated.
so we get area .
A = frequecny1 * bin [5] + frequecny2 * bin[6] + .....frequecnt5*bin[10]

the sum will be our area .
Right  ? ?

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## #4 2012-09-06 23:49:14

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

Hi;

I am still not understanding why you are going from 5 to 10.

Using a very simple example from that page if we had data like {3,11,12,19,22,23,24,25,27,29,35,36,37,45,49}.

The histogram could be the drawing below. That means from 0 to 10 there is 1 piece of data, from 10 to 20 there are 3 pieces of data etc. To get the area of 10 to 40 we would just add up areas of rectangles. 30 + 60 + 30 = 120.

How do you relate this to your problem? What does the histogram look like?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #5 2012-09-06 23:52:24

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

hmm i see . i got it .
So how about to get the 1st moent,.
I think the quantity that i computed that 1st moment not  area . sorry .
also how can we get variance ?

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## #6 2012-09-07 00:16:44

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

Hi;

It is best to see the raw data, the first moment is just the mean. The variance is a measure of dispersion of the data from the mean. Both are calculated from the data.

For instance for the set of test data from that page

{3,11,12,19,22,23,24,25,27,29,35,36,37,45,49}

the mean is 397 / 15 and the variance is 16708 / 105.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #7 2012-09-07 17:47:58

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

Hy bobbym,

How  can we get energy from histogram ?
like if we have high frequecny --> high energy
low frequency --> low energy .

Also how can we get probability from frequency distribution histogram

but how can we get energy and probability  from histogram ?
Any idea .

Last edited by tina123 (2012-09-07 18:15:51)

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## #8 2012-09-07 23:20:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

Hi tina123;

I do not know. But aren't we still working on the histogram?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #9 2012-09-07 23:39:38

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

bobbym wrote:

Hi tina123;

I do not know. But aren't we still working on the histogram?

yes we are still working on histogram .
Can we get energy from histogram ?
thanks

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## #10 2012-09-07 23:41:10

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

Hi;

I can not answer that yet because there are still questions to be answered about post #1.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #11 2012-09-07 23:42:22

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

tina123 wrote:
bobbym wrote:

Hi tina123;

I do not know. But aren't we still working on the histogram?

yes we are still working on histogram .
Can we get energy from histogram ?
thanks

Do you  know how probability  can compute from histogram ?
any one ? ?

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## #12 2012-09-08 00:50:26

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

tina123 wrote:
tina123 wrote:
bobbym wrote:

Hi tina123;

I do not know. But aren't we still working on the histogram?

yes we are still working on histogram .
Can we get energy from histogram ?
thanks

Do you  know how probability  can compute from histogram ?
any one ? ?

HY .. but i do't need post #1 now .
Please look at current problem ./
thanks

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## #13 2012-09-08 00:56:37

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

HY .. but i do't need post #1 now .
Please look at current problem ./
thanks

Until you clear up post #1 I can not do the next part of the problem.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #14 2012-09-08 01:08:43

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

bobbym wrote:

HY .. but i do't need post #1 now .
Please look at current problem ./
thanks

Until you clear up post #1 I can not do the next part of the problem.

what do u wanna make clear  ?

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## #15 2012-09-08 01:12:24

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

255 , 70 , 60 , 50 ,10 , 5 ,4 , 4 , 60, 50 , 30 , 10 , 5 , 2, 2 , 1 , 0 , 5 , 3, 3

Does this mean 255 zeroes, 70 ones, 60 twos etc?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #16 2012-09-08 01:15:42

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

bobbym wrote:

255 , 70 , 60 , 50 ,10 , 5 ,4 , 4 , 60, 50 , 30 , 10 , 5 , 2, 2 , 1 , 0 , 5 , 3, 3

Does this mean 255 zeroes, 70 ones, 60 twos etc?

Well that was a histogram that i supposed .
by considering a hill or mountain , i supposed that histogram .
that's it .

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## #17 2012-09-08 01:18:21

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

tina123 wrote:
bobbym wrote:

255 , 70 , 60 , 50 ,10 , 5 ,4 , 4 , 60, 50 , 30 , 10 , 5 , 2, 2 , 1 , 0 , 5 , 3, 3

Does this mean 255 zeroes, 70 ones, 60 twos etc?

Well that was a histogram that i supposed .
by considering a hill or mountain , i supposed that histogram .
that's it .

As i mentioned before. i can't ask any question related to my research.
i just need help in calculating things.
if you are interested in purpose then u can contact me rubi_faith@yahoo.com
then we could discuss issue and its solution. thanks .

Last edited by tina123 (2012-09-08 01:20:19)

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## #18 2012-09-08 01:22:04

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

I do not need the purpose of your research. I need clear explanations of what your terms mean.

To compute the probability I will need the frequency of the histogram in post #1. Are you not asking for the probability of it?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #19 2012-09-08 01:23:50

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

yes .. now i need probability yes ..
but these values

255 , 70 , 60 , 50 ,10 , 5 ,4 , 4 , 60, 50 , 30 , 10 , 5 , 2, 2 , 1 , 0 , 5 , 3, 3

are frequency of each bin ..

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## #20 2012-09-08 01:26:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

And how are the bins labeled?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #21 2012-09-08 01:30:27

tina123
Member
Registered: 2012-04-29
Posts: 83

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

bin 0 , 1  , 2 , 3 , 4 , 5 , 6 , 7 ,8 , 9 , 10 ,11 , ...20 bins .
and frequencies are

255 , 70 , 60 , 50 ,10 , 5 ,4 , 4 , 60, 50 , 30 , 10 , 5 , 2, 2 , 1 , 0 , 5 , 3, 3

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## #22 2012-09-08 01:32:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: How to get the area of bin from 0 to 6 if frequency of bins are given

What bins are involved in the probability? In other words do you want 0 to 6?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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