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    ​What is the average number of boys studying in all the four courses in the year 2017?
    Question

    ​The table given shows me total number of students of a college and the number of girls who are studying in four different courses — Data science. Cloud computing. Statistics and Image processing in 3 different years. 

    Year/Courses

    2016

    2017

    2018

    Total number of students

    Total number of girls

    Total number of students

    Total number of girls

    Total number of students

    Total number of girls

    Data science

    800

    500

    900

    450

    760

    400

    Cloud computing

    1600

    400

    1800

    1000

    1500

    700

    Statistic

    1400

    600

    1500

    700

    1040

    400

    Image processing

    1200

    600

    1300

    600

    800

    200


    ​What is the average number of boys studying in all the four courses in the year 2017?

    A.

    ​734.5

    B.

    ​687.5

    C.

    ​492.5

    D.

    ​586.5

    Correct option is B

    Concept Used:

    Number of boys = Total students - Total girls

    Average number of boys=Total boysno of course\text{Average number of boys} = \frac{\text{Total boys}}{\text{no of course}}​​

    Solution:

    The number of boys for each course

    1. Data Science (2017)

    Total students = 900 , Total girls = 450

    Number of boys = 900 - 450 = 450

    2. Cloud Computing (2017)

    Total students = 1800 , Total girls = 1000

    Number of boys = 1800 - 1000 = 800

    3. Statistics (2017)

    Total students = 1500 , Total girls = 700

    Number of boys = 1500 - 700 = 800

    4. Image Processing (2017)

    Total students = 1300 , Total girls = 600

    Number of boys = 1300 - 600 = 700 

    Now, 

    Total boys = 450 + 800 + 800 + 700 = 2750  

    Average number of boys=27504=687.5\text{Average number of boys} = \frac{2750}{4} = 687.5 

    The average number of boys studying in all four courses in the year 2017 is 687.5.

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