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Draw a pie chart representing the distribution of students across different subjects. The number of students in each subject is as follows: Mathematics (45), Physics (39), Chemistry (28), Biology (14)

Mathematics

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Step-by-step solution

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Here's the solution to question 5:

To draw a pie chart, we first need to calculate the total number of students and then determine the angle for each subject.

  1. Calculate the total number of students.

    Total students = Mathematics + Physics + Chemistry + Biology + Economics + History

    Total students=45+39+28+14+36+18=180\text{Total students} = 45 + 39 + 28 + 14 + 36 + 18 = 180
  2. Calculate the angle for each subject in the pie chart.

    The angle for each subject is calculated as (Number of students for subject/Total students)×360∘(\text{Number of students for subject} / \text{Total students}) \times 360^\circ.

    • Mathematics:
    45180×360∘=14×360∘=90∘\frac{45}{180} \times 360^\circ = \frac{1}{4} \times 360^\circ = 90^\circ
    • Physics:
    39180×360∘=39×2∘=78∘\frac{39}{180} \times 360^\circ = 39 \times 2^\circ = 78^\circ
    • Chemistry:
    28180×360∘=28×2∘=56∘\frac{28}{180} \times 360^\circ = 28 \times 2^\circ = 56^\circ
    • Biology:
    14180×360∘=14×2∘=28∘\frac{14}{180} \times 360^\circ = 14 \times 2^\circ = 28^\circ
    • Economics:
    36180×360∘=15×360∘=72∘\frac{36}{180} \times 360^\circ = \frac{1}{5} \times 360^\circ = 72^\circ
    • History:
    18180×360∘=110×360∘=36∘\frac{18}{180} \times 360^\circ = \frac{1}{10} \times 360^\circ = 36^\circ

    The pie chart would be drawn with sectors corresponding to these angles:
    Mathematics: 90∘\boxed{90^\circ}
    Physics: 78∘\boxed{78^\circ}
    Chemistry: 56∘\boxed{56^\circ}
    Biology: 28∘\boxed{28^\circ}
    Economics: 72∘\boxed{72^\circ}
    History: 36∘\boxed{36^\circ}

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