Bar Diagram

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    1 | B a s i c S t a t i s t i c s

    1 BAR DIAGRAM 2

    2 SIMPLE BAR DIAGRAM 2

    3 MULTIPUL BAR

    DIAGRAM

    3

    4 SUB-DIVIDED BAR

    DIAGRAM

    4

    5 PERCENTAGE BAR

    DIAGRAM

    5

    6 DEVIATION BAR

    DIAGRAM

    7

    7 BROKEN BAR DIAGRAM 8

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    2 | B a s i c S t a t i s t i c s

    BAR DIAGRAM

    A bar chart/Diagram is a chart with rectangular bars with lengths proportional tothe

    values that they represent. Bar charts are used for comparing two or more values.

    The bars can be horizontally or vertically oriented. Sometimes a stretched graphic is

    used instead of a solid bar.

    Simple Bar diaram! A simple bar chart is used to represents data involving only one

    variable classified on spatial, uantitative or temporal basis.!n simple bar chart, we

    ma"e bars of eual width but variable length, i.e. the magnitude of a uantity is

    represented by the height or length of the bars. #ollowing steps are underta"en in

    drawing a simple bar diagram

    E"ample$

    Draw simple bar diagram to represent the profits of a ban" for % years.

    Simple bar chart showing the profit of a ban" for % years.

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    # | B a s i c S t a t i s t i c s

    $IGURE!S!&'() BA* D!A+*A&

    MULTIPLE BAR DIAGRAM

    By multiple bars diagram two or more sets of inter-related data are

    represented (multiple bar diagram facilities comparison between more thanone phenomenons). The technique of simple bar chart is used to draw thisdiagram but the difference is that we use different shades, colors, or dots todistinguish between different phenomena.

    E"ample!-

    Draw a multiple bar chart to represent the import and eport of -anada values in

    0 for the years 1221 to 122%.

    Simple bar chart showing the import and eport of -anada from 1221 3 122%.

    Years Imports Exports

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    % | B a s i c S t a t i s t i c s

    $IGURE!&4(T!'() BA* D!A+*A&

    SUB-DIVIDED BAR DIAGRAM

    Sub-divided or component bar chart is used to represent data in which the total

    magnitude is divided into different or components. !n this diagram, first we ma"e

    simple bars for each class ta"ing total magnitude in that class and then divide these

    simple bars into parts in the ratio of various components. This type of diagram shows

    the variation in different components within each class as well as between different

    classes. Sub5divided bar diagram is also "nown as component bar chart or sta"ed

    chart.

    ILLUSTRATION!The table below shows the uantity in hundred "gs of 6heat, Barleyand 7ats produced on a certain form during the years 1221 to 1228.

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    ' | B a s i c S t a t i s t i c s

    PERCENTAGE BAR DIAGRAM

    Sub5divided bar chart may be drawn on percentage basis. To draw sub5divided barchart on percentage basis, we epress each component as the percentage of its

    respective total. !n drawing percentage bar chart, bars of length eual to 1:: for

    each class are drawn at first step and sub5divided in the proportion of the

    percentage of their component in the second step. The diagram so obtained is called

    percentage component bar chart or percentage sta"ed bar chart. This type of chart is

    useful to ma"e comparison in components holding the difference of total constant.

    ILLUSTRATION!-The table below shows the uantity in hundred "gs of 6heat, Barleyand 7ats produced on a certain form during the years 1221 to 1228.

    E"ample!

    The table below shows the uantity in hundred "gs of 6heat, Barley and 7ats

    produced on a certain form during the years 1221 to 1228.

    Years Wheat Barley Oats

    -onstruct a percentage component bar chart to illustrate this data.

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    ( | B a s i c S t a t i s t i c s

    S)l*+i),!;ecessary computations for the construction of percentage bar chart given

    below$

    Item

    cum

    cum

    cum

    cum

    Wheat

    Barley

    Oats

    Total

    indicates 'ercentage of each item

    *m indicates the cumulative percentage.

    $IGURE! ')*-);TA+) BA* D!A+*A&

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    . | B a s i c S t a t i s t i c s

    DEVIATION BAR DIAGRAM

    Deviation bars are used to represent net uantities 5 ecess or deficit i.e. net profit,

    net loss, net eports or imports, swings in voting etc. Such bars have both

    positive and negative values. 'ositive values lie above the base line and negative

    values lie below it.

    Illustration:-

    /ear0 Sale0 Ne+ pr)i+0

    1.& - .' 134 &34

    1.' - .( 1%4 -23

    1.( - .. 124 -134

    'resent the above data by a suitable diagram showing the sales and net profits of

    private industrial companies.

    $UGURE! D)9!AT!7; BA* D!A+*A&

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    | B a s i c S t a t i s t i c s

    BROKEN BAR DIAGRAM

    !n certain type of data there may be wide variations in values

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    13 | B a s i c S t a t i s t i c s

    $IGURE!B*7); BA* D!A+*A&