Subject

    Data Interpretation

    Topic

    Bar Graph

    By what per cent should votes of B increase/decrease from their actual value in 2012 to equal its average during the previous 4 year?

    ক)
    Increase by 3.5%
    খ)
    Increase by 5.8%
    গ)
    Decrease by 5.8%
    ঘ)
    Decrease by 3.5%
    ঙ)
    Decrease by 4.3%

    Explanation

    From the given data, Total number of votes acquired by B during 2008-2011 (in lakhs) = 3.8 + 3.4 + 4.3 + 4.2 = 15.7 Average number of votes acquired by B during 2008-2011 (in lakhs) = 15.7/4 = 3.925 Number of votes acquired by B during 2012 (in lakhs) = 4.1 Required % to maintain average=  3.925−4.14.1×100  =  −4.3= \;\frac{{3.925 - 4.1}}{{4.1}} \times 100\; = \; - 4.3 Negative sign shows the % should be decreased. ∴the votes of B in 2012 should decrease by 4.3% in 2012 in order to maintain the average.

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