Given equal width bars, the area of any given bar is
proportional to it's frequency. Sometimes, as you
obseverved, the area and the frequency are identical, but
that isn't always the case.
What is always true in a histogram is that a bar's
contribution to the total area is proportional the freq
well this indeed is interesting ... i now know what we can talk about for
the first ENTIRE week of a basic stat class ...
histograms and bar charts
1. a compilation of all the definitions thereof (including greek roots)
2. discussion of whether a "histogram" can be used for depicting a discrete
ought (and think) was irrelevant.
Yes, I agree: the subject of this thread began as "Histogram for
discrete probability distribution", which is arguably an oxymoron,
since histograms appear to have been conceived orginally with respect
to continuous (or at any rate quasi-continuous) d
Dear Donald:
> I found it interesting that Alexander Bogomolny cites additional
> dictionaries, but does not address the question of how to deal with the
> fact that definitions may actually be incorrect in the dictionary (or
> any other reference, for that matter) that one is consulting; and th
Dennis Roberts wrote in part, answering Alexander Bogomolny:
AB >... The point is that the bars in a histogram are not automatically
AB >assumed to have equal widths.
>
> once a scale is determined, it has units ... ... and, each unit
> covers some baseline distance ... AND, if there are freq
You may also consult
1. The Penguin Dictionary of Mathematics.
2. REA's Problem Solvers Statistics
dennis roberts wrote:
>
> At 11:24 PM 8/13/00 -0400, Alexander Bogomolny wrote:
> >Well, the reference to the dictionary consisted of two parts.
> >The second is in fact inessential. The point is
At 11:24 PM 8/13/00 -0400, Alexander Bogomolny wrote:
>Well, the reference to the dictionary consisted of two parts.
>The second is in fact inessential. The point is that the bars
>in a histogram are not automatically assumed to have equal
>widths.
once a scale is determined, it has units ... in
i would say that the harper collins dictionary of mathematics is wrong
i think most would say that a bar chart has a baseline that is not a
quantitative scale ... and, the order in which the bars are listed is
essentially arbitrary
At 11:43 PM 8/12/00 +, Alexander Bogomolny wrote:
>The Harper
The Harper Collins Dictionary of Mathematics gives the following
definitions:
1. Histogram - a figure that represents a frequency distribution,
consisting of contiguous rectangles with width proportional to the
size of the respective class intervals and areas proportional to the
relative frequenc
Sheila King wrote:
>
> [cross-posted to sci.stat.edu,sci.stat.math,k12.ed.math]
>
> I'm teaching a GE stat course, my first time teaching stat, and am
> having some points of confusion. Here is one of my questions:
>
> Suppose I have a probability distribution as follows:
>
> Sample space:
> 1
On 9 Aug 2000 21:26:59 -0700, [EMAIL PROTECTED] (Donald Burrill)
wrote in sci.stat.edu in article
<[EMAIL PROTECTED]>:
:Sounds as though you are confusing a couple of things, as some of the
:responders to your message have suggested (though none has said it
:explicitly). The idea of "area unde
"Jose Ramon G. Albert" wrote:
>
> Try having the points enumerated be the centers of your rectangles
> with each rectangle having an AREA of 1/6. Thus the first rectangle
> should have its corners at 1.25 and 1.75 (and have 1.5 as its midpoint).
> Now since the width of your rectange is 0.5, let
On Wed, 9 Aug 2000, dennis roberts wrote in part:
> [You could use] dotplots ...
< snip, some commentary about dot plots >
> [or] a simple old fashioned [character-graphics] histogram ...
> Histogram of C1 N = 36
>
> MidpointCount
>1.5006 **
>2.0
Sounds as though you are confusing a couple of things, as some of the
responders to your message have suggested (though none has said it
explicitly). The idea of "area under a curve" applies to a continuous
curve, and thus to continuous distributions. It doesn't make sense for
discrete distr
true histograms have continuous baselines, which you don't have ... charts ...
dotplots ... etc. could be used for discrete data ...
now, in the old fashioned graphics ... the dotplot is easy to do BUT,
regulating what values you get on the baseline is NOT ... and where you want
them
in the ne
For discrete random variable, sum of the heights (probability) over
the sample space equals one. Cheers. Siddeek
Sheila King wrote:
> [cross-posted to sci.stat.edu,sci.stat.math,k12.ed.math]
>
> I'm teaching a GE stat course, my first time teaching stat, and am
> having some points of co
ED]>
To: <[EMAIL PROTECTED]>
Sent: Thursday, August 10, 2000 6:02 AM
Subject: Histogram for discrete probability distribution
> [cross-posted to sci.stat.edu,sci.stat.math,k12.ed.math]
>
> I'm teaching a GE stat course, my first time teaching stat, and am
> having some po
[cross-posted to sci.stat.edu,sci.stat.math,k12.ed.math]
I'm teaching a GE stat course, my first time teaching stat, and am
having some points of confusion. Here is one of my questions:
Suppose I have a probability distribution as follows:
Sample space:
1.5, 2.0, 2.5, 3.5, 4.0, 4.5
and each of
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