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8th Class Mathematics Data Handling Question Bank Data Handling

  • question_answer
    The table shows the grades obtained by a group of students in an examination.
    Grade Number of students
    A 45
    B 60
    C 80
    D 15
    If the given information is illustrated using a pie chart, what is the angle of the sector that represents grade A?

    A)  \[{{45}^{o}}\]      

    B)                                                         \[{{81}^{o}}\]                   

    C)                         \[{{65}^{o}}\]                                   

    D)                         \[{{100}^{o}}\]

    Correct Answer: B

    Solution :

    Total number of students \[=45+~60+80+15=200\] Angle of sector for grade A \[=\frac{~Number\text{ }of\text{ }students\text{ }with\text{ }grade\text{ }A}{Total\text{ }number\text{ }of\text{ }students}\times {{360}^{o}}\] \[=\frac{45}{200}\times {{360}^{o}}={{81}^{o}}\]


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