Introduction to Data Interpretation


Introduction to Data Interpretation

Direction: The following pie diagram gives the marks scored by a student in different subjects – English, Hindi, Mathematics, Science and Social Science in an examination. Assuming that the total marks obtained for the examination are 540, answer the questions.

  1. The difference of marks between English and Science is the same as between









  1. View Hint View Answer Discuss in Forum

    From the given pie chart in question ,
    Difference between corresponding angles for English and Science = 80° – 55° = 25°
    Difference between corresponding angles for Maths and Social Science = 90° – 65° = 25°

    Correct Option: D

    From the given pie chart in question ,
    Difference between corresponding angles for English and Science = 80° – 55° = 25°
    Difference between corresponding angles for Maths and Social Science = 90° – 65° = 25°
    Hence , The difference of marks between English and Science is the same as between Mathematics and Social science


  1. The subject in which the student scored 105 marks is









  1. View Hint View Answer Discuss in Forum

    According to given pie chart in question ,
    Total marks obtained = 540
    Corresponding angle for Hindi = 70°
    ∵ 360° ≡ 540


    1° =
    540
    360


    Correct Option: B

    According to given pie chart in question ,
    Total marks obtained = 540
    Corresponding angle for Hindi = 70°
    ∵ 360° ≡ 540


    1° =
    540
    360

    ∴ 70° ≡
    540
    × 70 = 105
    360

    Hence , required answer is Hindi .



  1. The marks scored in English , Science and Social science exceed the marks scored in Hindi and Mathematics by









  1. View Hint View Answer Discuss in Forum

    From the given pie chart in question ,
    Corresponding angle for English, Science and Social Science = 55° + 80° + 65° = 200°
    Corresponding angle for Hindi and Maths = 90 + 70 = 160°
    Change in corresponding angle = 200 - 160 = 40

    ∴ Required percent =
    Change in corresponding angle
    × 100
    Corresponding angle for Hindi and Maths

    Correct Option: C

    From the given pie chart in question ,
    Corresponding angle for English, Science and Social Science = 55° + 80° + 65° = 200°
    Corresponding angle for Hindi and Maths = 90 + 70 = 160°
    Change in corresponding angle = 200 - 160 = 40

    ∴ Required percent =
    Change in corresponding angle
    × 100
    Corresponding angle for Hindi and Maths

    Required percent =
    40
    × 100 = 25%
    160


Direction: The pie- chart given below shows the usage of materials in the construction of a house. Study the chart and answers the questions :

  1. The average of percentages of steel, cement and miscellaneous items used in the construction is :









  1. View Hint View Answer Discuss in Forum

    On the basis of given pie chart in question ,
    Sum of the corresponding angles for steel, cement and miscellaneous items = (36° + 72° + 108°) = 216°
    ∵ 360° ≡ 100%


    1° =
    100
    360

    ∴ 216° ≡
    100
    × 216 = 60%
    360

    Correct Option: C

    On the basis of given pie chart in question ,
    Sum of the corresponding angles for steel, cement and miscellaneous items = (36° + 72° + 108°) = 216°
    ∵ 360° ≡ 100%


    1° =
    100
    360

    ∴ 216° ≡
    100
    × 216 = 60%
    360

    ∴ Required average = 60 ÷ 3 = 20%



  1. If the cost of cement is $ 5000, then the labour cost is :









  1. View Hint View Answer Discuss in Forum

    From the given pie chart in question ,
    The cost of cement = $ 5000
    Corresponding angle for cement = 72°
    Corresponding angle for labour expenses = 90°
    ∵ 72° ≡ $ 5000


    1° =
    5000
    72

    Correct Option: B

    From the given pie chart in question ,
    The cost of cement = $ 5000
    Corresponding angle for cement = 72°
    Corresponding angle for labour expenses = 90°
    ∵ 72° ≡ $ 5000


    1° =
    5000
    72

    ∴ 90% ≡ $5000 × 90° = $ 6250
    72°