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hmm .. and Who did define that formula?
I can need to know author and its paper. I can't find.
Please help me to know its writer and its paper where he defined the formula.
Thanks
Can anyone please explain me formula of histogram defined in this wiki link
http://en.wikipedia.org/wiki/Histogram
We say that histogram is the counts of observation in bins.
So Let say if bins are from 0 to 179. then what does mean by mi in the formula?
i think n is the counts of observation.
Kindly, explain it. thanks
Expecting a fast response
Thanks
What does mean by mean?
What is the actual meaning of mean?
Let say you have 10 points like this
9, 5 , 8,10,8,7,11,8,4,6,9,11,4
Where would be the mean?
another example
9, 5 , 8,10,8,7,11,8,4,178,9,11,20
Kindly, tell where would be the mean?
Can we say that mean value represents the all number of values?
or we will say that mean is the average of the nearest number?
like in this example
9, 5 , 8,10,8,7,11,8,4,6,9,11,4
mean would near to these values
like in this example,.
9, 5 , 8,10,8,7,11,8,4,178,9,11,20
mean would be near the values but would not go to the so different values with others . like 20 and 178..i meant outlair.
Can we say that mean represent the cluster?
Can we say that mean represent the cluster?
Mean is also called centro-id of points. Right ,
Yes, I understand this .. thanks Bob..
hi Tina123
If you have numeric data collected over varying range sizes, (eg. Number of calls to a switch board lasting 0-1min ; 1-2min ; 2-5min ; 5-10min etc) it would be misleading to use a bar chart because there would be a bias towards the larger ranges.
So a new frequency, called the relative frequency (or frequency density), is defined to unbias the figures:
Thus the area of each histogram bar is proportional to the recorded frequencies.
The histogram below shows varying range sizes rather well.
It comes from:
http://www.bbc.co.uk/schools/gcsebitesi … rev3.shtml
If it would help I will make up another example to show the correct use of a histogram.
Bob
How can we define histogram mathematically?
I need to define histogram in form of Equation. Can anyone please help me to do it,.
thanks
Please guide me how to understand the maths equation logic ?
please give me one example with logical explanation that would help me to capture logic from equations . thanks
Hy guys ,
I have these floating values of hisogram from bin range 0 to 179 . and its difference of bin2 to bin1 is given,
Index @ 0 : 63 = diff --> -22
Index @ 1 : 41 = diff --> -15
Index @ 2 : 25 = diff --> -8
Index @ 3 : 16 = diff --> -4
Index @ 4 : 12 = diff --> -3
Index @ 5 : 9 = diff --> -2
Index @ 6 : 6 = diff --> -1
Index @ 7 : 4 = diff --> -1
Index @ 8 : 3 = diff --> 0
Index @ 9 : 3 = diff --> 0
Index @ 10 : 3 = diff --> 0
Index @ 11 : 3 = diff --> 0
Index @ 12 : 3 = diff --> 0
Index @ 13 : 2 = diff --> 0
Index @ 14 : 1 = diff --> 0
Index @ 15 : 1 = diff --> 0
Index @ 16 : 0 = diff --> 0
Index @ 17 : 1 = diff --> 0
Index @ 18 : 1 = diff --> 0
Index @ 19 : 2 = diff --> 0
Index @ 20 : 1 = diff --> 0
Index @ 21 : 1 = diff --> 0
Index @ 22 : 2 = diff --> 0
Index @ 23 : 2 = diff --> 0
Index @ 24 : 2 = diff --> 0
Index @ 25 : 1 = diff --> 0
//----------------------------------
Index @ 26 : 1 = diff --> 1
Index @ 27 : 3 = diff --> 3
Index @ 28 : 6 = diff --> 2
//------------------------------------
Index @ 29 : 8 = diff --> 0
//-----------------------------------------
Index @ 30 : 8 = diff --> -1
//----------------------------------------
Index @ 31 : 6 = diff --> 0
//-----------------------------------------
Index @ 32 : 6 = diff --> 2
Index @ 33 : 8 = diff --> 4
Index @ 34 : 12 = diff --> 2
/-----------------------------------------
Index @ 35 : 14 = diff --> -1
Index @ 36 : 13 = diff --> -3
Index @ 37 : 9 = diff --> -1
//--------------------------------------
Index @ 38 : 7 = diff --> 3
Index @ 39 : 11 = diff --> 8
Index @ 40 : 20 = diff --> 6
//-----------------------------------
Index @ 41 : 26 = diff --> 0
//-------------------------------------------
Index @ 42 : 26 = diff --> -6
Index @ 43 : 19 = diff --> -7
Index @ 44 : 12 = diff --> -5
Index @ 45 : 7 = diff --> -2
//-------------------------------------------
Index @ 46 : 5 = diff --> 3
Index @ 47 : 8 = diff --> 8
Index @ 48 : 16 = diff --> 5
//--------------------------------------------
Index @ 49 : 22 = diff --> -1
Index @ 50 : 21 = diff --> -5
Index @ 51 : 16 = diff --> -4
Index @ 52 : 12 = diff --> -1
//------------------------------------
Index @ 53 : 11 = diff --> 0
//-------------------------------------
Index @ 54 : 10 = diff --> -1
Index @ 55 : 8 = diff --> -2
Index @ 56 : 6 = diff --> -2
Index @ 57 : 3 = diff --> -1
//----------------------------------------
Index @ 58 : 2 = diff --> 0
Index @ 59 : 2 = diff --> 0
Index @ 60 : 1 = diff --> 0
Index @ 61 : 0 = diff --> 0
//-------------------------------------
Index @ 62 : 0 = diff --> 1
Index @ 63 : 1 = diff --> 1
Index @ 64 : 3 = diff --> 1
//-----------------------------------------
Index @ 65 : 5 = diff --> 0
Index @ 66 : 5 = diff --> 0
Index @ 67 : 4 = diff --> 0
Index @ 68 : 3 = diff --> 0
Index @ 69 : 2 = diff --> 0
Index @ 70 : 2 = diff --> 0
Index @ 71 : 1 = diff --> 0
Index @ 72 : 2 = diff --> 0
Index @ 73 : 2 = diff --> 0
Index @ 74 : 3 = diff --> 0
Index @ 75 : 3 = diff --> 0
Index @ 76 : 2 = diff --> 0
Index @ 77 : 1 = diff --> 0
Index @ 78 : 0 = diff --> 0
Index @ 79 : 0 = diff --> 0
Index @ 80 : 0 = diff --> 0
Index @ 81 : 0 = diff --> 0
Index @ 82 : 0 = diff --> 0
Index @ 83 : 0 = diff --> 0
Index @ 84 : 0 = diff --> 0
Index @ 85 : 0 = diff --> 0
Index @ 86 : 0 = diff --> 0
Index @ 87 : 0 = diff --> 0
Index @ 88 : 0 = diff --> 0
Index @ 89 : 0 = diff --> 0
Index @ 90 : 0 = diff --> 0
Index @ 91 : 0 = diff --> 0
Index @ 92 : 0 = diff --> 0
Index @ 93 : 0 = diff --> 0
Index @ 94 : 0 = diff --> 0
Index @ 95 : 0 = diff --> 0
Index @ 96 : 0 = diff --> 0
Index @ 97 : 0 = diff --> 0
Index @ 98 : 0 = diff --> 0
Index @ 99 : 0 = diff --> 0
Index @ 100 : 0 = diff --> 0
Index @ 101 : 0 = diff --> 0
Index @ 102 : 0 = diff --> 0
Index @ 103 : 0 = diff --> 0
Index @ 104 : 0 = diff --> 0
Index @ 105 : 0 = diff --> 0
Index @ 106 : 0 = diff --> 0
Index @ 107 : 0 = diff --> 0
Index @ 108 : 0 = diff --> 0
Index @ 109 : 0 = diff --> 0
Index @ 110 : 0 = diff --> 0
Index @ 111 : 0 = diff --> 0
Index @ 112 : 0 = diff --> 0
Index @ 113 : 0 = diff --> 0
Index @ 114 : 0 = diff --> 0
Index @ 115 : 0 = diff --> 0
Index @ 116 : 0 = diff --> 0
Index @ 117 : 0 = diff --> 0
Index @ 118 : 0 = diff --> 0
Index @ 119 : 0 = diff --> 0
Index @ 120 : 0 = diff --> 0
Index @ 121 : 0 = diff --> 0
Index @ 122 : 0 = diff --> 0
Index @ 123 : 0 = diff --> 0
Index @ 124 : 0 = diff --> 0
Index @ 125 : 0 = diff --> 0
Index @ 126 : 0 = diff --> 0
Index @ 127 : 0 = diff --> 0
Index @ 128 : 0 = diff --> 0
Index @ 129 : 0 = diff --> 0
Index @ 130 : 0 = diff --> 0
Index @ 131 : 0 = diff --> 0
Index @ 132 : 0 = diff --> 0
Index @ 133 : 0 = diff --> 0
Index @ 134 : 0 = diff --> 0
Index @ 135 : 0 = diff --> 0
Index @ 136 : 0 = diff --> 0
Index @ 137 : 0 = diff --> 0
Index @ 138 : 0 = diff --> 0
Index @ 139 : 0 = diff --> 0
Index @ 140 : 0 = diff --> 0
Index @ 141 : 0 = diff --> 0
Index @ 142 : 0 = diff --> 0
Index @ 143 : 0 = diff --> 0
Index @ 144 : 0 = diff --> 0
Index @ 145 : 0 = diff --> 0
Index @ 146 : 0 = diff --> 0
Index @ 147 : 0 = diff --> 0
Index @ 148 : 0 = diff --> 0
Index @ 149 : 0 = diff --> 0
Index @ 150 : 0 = diff --> 0
Index @ 151 : 0 = diff --> 0
Index @ 152 : 0 = diff --> 0
Index @ 153 : 0 = diff --> 0
Index @ 154 : 0 = diff --> 0
Index @ 155 : 0 = diff --> 0
Index @ 156 : 0 = diff --> 0
Index @ 157 : 0 = diff --> 0
Index @ 158 : 0 = diff --> 0
Index @ 159 : 0 = diff --> 0
Index @ 160 : 0 = diff --> 0
Index @ 161 : 0 = diff --> 0
Index @ 162 : 0 = diff --> 0
Index @ 163 : 0 = diff --> 0
Index @ 164 : 0 = diff --> 0
Index @ 165 : 0 = diff --> 0
Index @ 166 : 0 = diff --> 0
Index @ 167 : 0 = diff --> 0
Index @ 168 : 1 = diff --> 0
Index @ 169 : 1 = diff --> 0
//------------------------------
Index @ 170 : 2 = diff --> 1
Index @ 171 : 3 = diff --> 1
Index @ 172 : 4 = diff --> 1
Index @ 173 : 6 = diff --> 1
Index @ 174 : 8 = diff --> 2
Index @ 175 : 10 = diff --> 1
//-----------------------------------------------
Index @ 176 : 11 = diff --> 0
//---------------------------------------------
Index @ 177 : 11 = diff --> -1
Index @ 178 : 9 = diff --> -2
My question is ...
Is the difference technically ok ? ?
if yes then how ?
I think my difference is wrong .
for example difference of bin12th and bin13th . . difference is wrong there .
IS it really wrong technically if yes then how and why ?
Please guide e thanks .
hy ,, its a just Bayes theorem on histogram data .
and how about Bayesian formula in histogram post@1 .
As Bayesian formula can show that posterior probability is proportional to density value .
That's y i am interested in Bayesian formula .
ok but i am asking about probability .
How can we compute probability of each bin ?
Also how can we compute Bayesian formula in histogram post #1 .
As Bayesian formula can show that posterior probability is proportional to density value .
hy Bobby, from post #1, how can we get probability ?
How bayesian formula can applied on histogram ?
Can any one explain me with an example . thanks
Count up each type of data value the way I did in post #4. That is how you get those peaks and valleys. You do not need the histogram.
Oh u are making me confuse . leave it . now .
I need to work with histogram .
yes i already showed u data values in my #post 1 .
hy no .. . How did say that its peak . We can see it graphically ,
but i still do't understand how can say its out peak .
bobbym wrote:Do you see what a peak is?
as i understand peak is maximum value .. and 20 , 21 are the maximum . .
so those are peaks
Oh yar we are still not able to decide .
Do you see what a peak is?
as i understand peak is maximum value .. and 20 , 21 are the maximum . .
so those are peaks
I have marked off two peaks, I can not see what number they are.
oh i gave histogram values too with its horizontal axis .
2nd peak value is 21 . and 1st peak value is 20 .
I can not see bins it it too small.
Well actually i maked histogram in range 0 to 180 . and to make histogram i consider bins 180 . so bins size is so small .
and after removing some noise and part of histogram .
i got the histogram that i posted in #p1 ..
so now our left bins are in range 0 to 53 .
You say that on the x axis we go from 0 to 53. Does that mean the whole black area or just the red?
Well all bins are in red color .
well in my #1 post ,
on axis .. we have index 0 to 53
and on y axis ,. we have , 0 to 21 .
like on axis 0 will have bar 19 length .. like that
Hi;
Want to see another example?
Well i understand with an example that recently u mentioned .
but i did not get valley and peak in my #1 post .
Could you please make my mind clear from histogram of post #1 .
thanks
Hi tina123;
Yes, minimum occurence would be a valley. There could be more than one.
Hy Bobvym , I am confused . Could u tell me peaks and valleys in the same theory that u recently explained .
thanks .
Hi tina123
What exactly would you consider peaks and valleys in the picture in your first post?
Well if we consider only useful data . then its from i = 0 ; i < 46 ; i++ , get minimum value. it would be 2 . which will be our valley . but for and 21 will be our maxmum peak .
that 's by considering minimum and maximum histogram value .
But i still not understand correctly
So i think check occurrence of each data .. valley will be there where occurrence would be minimum,
and maximum occurrence would be peak .
but for example if 1 is repeated 4 time 10 is repeated 3 . then we would have two peaks at 1 having 4 occurence and 10 having 3 occurrence . and say 5 have occurrence 2 .. so minimum occurence would be our valley .
right ?