graphical representation o f data
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GRAPHICAL REPRESENTATIONGRAPHICAL REPRESENTATION
OF STATISTICAL DATAOF STATISTICAL DATACHARTS AND DIAGRAMS
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TYPES OF GRAPHICALTYPES OF GRAPHICAL
REPRESENTATIONSREPRESENTATIONS1. BAR CHARTS2. PIE CHARTS
3.FREQUENCY POLYGON ANDHISTOGRAMS
4. DOT PLOTS
5. BOX PLOTS
6. SCATTER DIAGRAM
7. TREE DIAGRAM
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BAR CHARTSBAR CHARTSA graph in which the classes are reported on
the horizontal axis and the class frequencies
on the vertical axis. The class frequencies are
proportional to the heights of the bar.TYPES OF BAR CHARTS :
1. SIMPLE BAR CHART
2. MULTIPLE BAR CHART
3. COMPONENT BAR CHART
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SIMPLE BAR CHARTSIMPLE BAR CHART
A normal bar chart (or just a bar chart)is called simple bar
chart.
For example the simple bar chart between the months of
the year 2009 and the high temperatures in this year
will be:
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MULTIPLE BAR CHARTSMULTIPLE BAR CHARTSIt is a bar chart used to compare two similar fields graphically.
For example a bar chart depicting the percentage of women in the
workforce in 1960 and 1996 will be:
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COMPONENT BAR CHARTCOMPONENT BAR CHARTIt is a type of bar chart in which two or more than two
fields are added in a single bar to compare more data in
a single bar chart. For example the component bar chart
for the points scored by the teams A , B, and C will be :
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PIE CHARTSPIE CHARTS
A chart that shows the proportion or percent that eachclass represents of the total number of frequencies.
For example a pie chart that represents the types of
multimedia used now-a-days will be:
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FREQUENCY POLYGON AND HISTO GRAMSFREQUENCY POLYGON AND HISTO GRAMS
Frequency polygon:Frequency polygons are a graphical
device for understanding the
shapes of distributions, but are
especially helpful in comparing sets of
data. Frequency polygons are also agood choice for displaying cumulative
frequency distributions.
Histogram:A histogram is a graphical method for
displaying the shape of a distribution.
It is particularly useful when there
are a large number of observations.
It is represented by joining all bars of
a simple bar chart.
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DOT PLOTSDOT PLOTS
A dot plot is a statistical chart consisting of group of data pointsplotted on a simple scale. Dot plots are used for continuous,
quantitative data. Data points may be labeled if there are few of
them. The dot-plot for the energy use in USA in 2005 will be:
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BOX PLOTSBOX PLOTSIn descriptive statistics, a box plot or box-plot (also known as a box-and-whisker
diagram or plot) is a convenient way of graphically depicting groups of numericaldata through their five-number summaries: the smallest observation (sample minimum),
lower quartile (Q1), median (Q2), upper quartile (Q3), and largest observation
(sample maximum). A box-plot may also indicate which observations, if any, might be
considered outliers.
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SCATTER DIAGRAMSCATTER DIAGRAMA scatter plot is a type of mathematical diagram using Cartesian
coordinates to display values for two variables for a set of data .The data isdisplayed as a collection of points, each having the value of one variable
determining the position on the horizontal axis and the value of the other
variable determining the position on the vertical axis .It is very easy to
understand the nature of the given data using dot-plot:
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TREE DIAGRAMTREE DIAGRAMTree diagram is a graphic tool which systematically breaks down,
and then maps out in increasing detail, all components or
elements of a condition, phenomenon, process, or situation, at
successive levels or stages .For example the tree diagram for the
probability of possible results of tossing a coin three times would
be:
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PREPARED BYPREPARED BYM.AATIF ISHTIAQ
ROLL NO. 119 BSCS 2010