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    The given histogram shows average percentage score of boys and girls in an examination during the years 2014 – 2018. What is the ratio of the absolute
    Question

    The given histogram shows average percentage score of boys and girls in an examination during the years 2014 – 2018.

    What is the ratio of the absolute difference in percentage scores of boys and girls in 2014 as compared to the absolute difference in their percentage scores in 2018?

    A.

    1 : 4

    B.

    4  : 1

    C.

    1 : 3

    D.

    3 : 4

    Correct option is A

    Given:

    Histogram shows average percentage score of boys and girls in an examination during the years 2014 – 2018.

    Solution:

    ​In 2014: 

    Boys' score = 65

    Girls' score = 60

    Absolute difference = 65 − 60 = 5

    ​In 2018:

    Boys' score = 60

    Girls' score = 80

    Absolute difference = 80 − 60=20

    The ratio of the absolute differences is: 

    Ratio: Difference in 2014Difference in 2018\frac{Difference in 2014}{Difference in 2018} = 520=14\frac{5}{20} = \frac{1}{4} 

    ​The ratio is 1:4.

    Thus, correct answer is (a) 1: 4

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