Maths-
General
Easy

Question

The table above shows the number of international tourist arrivals, rounded to the nearest tenth of a million, to the top nine tourist destinations in both 2012 and 2013.

Based on the information given in the table, how much greater, in millions, was the median number of international tourist arrivals to the top nine tourist destinations in 2013 than the median number in 2012, to the nearest tenth of a million?

The correct answer is: 1.3


    ○        The concept used in the question id of median.
    ○        Median: Median is the middlemost value of the given data set when data is arranged either in ascending or descending order.
    ○        For odd number of observations,
    Median =open curly brackets fraction numerator n plus 1 over denominator 2 end fraction close curly brackets to the power of text th  end text end exponent term
    ○        For even number of observations,
    Median  = fraction numerator open square brackets open parentheses open curly brackets n over 2 close curly brackets text  th term  end text plus open curly brackets fraction numerator n plus 1 over denominator 2 end fraction close curly brackets text  th term  end text close square brackets close over denominator 2 end fraction
    Where n is number of observations.
    • Step by step explanation:
    ○        Given:
    No of onbervations = 9
     Observations are already in descending order.
    ○        Step 1:
    As no of observations are odd i.e 9
    therefore,
    Median =open curly brackets fraction numerator n plus 1 over denominator 2 end fraction close curly brackets to the power of t h end exponent term
    Median =open curly brackets fraction numerator 9 plus 1 over denominator 2 end fraction close curly brackets to the power of text th  end text end exponent term
    Median = 5th term
    ○        Step 2:
    For 2012,
    5th term is 46.4
    ∴  median of 2012 = 46.4
    For 2013,
    5th term is 47.7
    ∴  median of 2013 = 47.7
    ○        Step 2:
    Subtraction of median of 2013 and 2012
     47.7 - 46.4
     1.3
    Final Answer:
    Hence, median of 2013 is greater than median of 2012 by 1.3

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