To draw a pie chart representing the number of students in different subjects, we must ensure that our data is complete and accurately represented. Notably, the number of students for "Social Science" is missing; we'll assume it is zero as per the initial indication in the provided context. We'll follow the steps to create a pie chart:
Step 1: Understand the Data
The subjects and their corresponding number of students are as follows:
- Maths: 40 students
- Science: 55 students
- English: 20 students
- Computer Science: 45 students
- Hindi: 5 students
- Social Science: 0 students
Step 2: Calculate the Total Number of Students
Sum the number of students in all subjects:
[tex]\[
40 + 55 + 20 + 45 + 5 + 0 = 165
\][/tex]
Step 3: Calculate the Percentage of Students in Each Subject
For each subject, calculate the percentage of the total number of students:
[tex]\[ \text{Percentage (Subject)} = \left( \frac{\text{Number of Students (Subject)}}{\text{Total Number of Students}} \right) \times 100 \][/tex]
Using the total of 165 students:
- Maths:
[tex]\[ \left( \frac{40}{165} \right) \times 100 \approx 24.2\% \][/tex]
- Science:
[tex]\[ \left( \frac{55}{165} \right) \times 100 \approx 33.3\% \][/tex]
- English:
[tex]\[ \left( \frac{20}{165} \right) \times 100 \approx 12.1\% \][/tex]
- Computer Science:
[tex]\[ \left( \frac{45}{165} \right) \times 100 \approx 27.3\% \][/tex]
- Hindi:
[tex]\[ \left( \frac{5}{165} \right) \times 100 \approx 3.0\% \][/tex]
- Social Science:
[tex]\[ \left( \frac{0}{165} \right) \times 100 = 0.0\% \][/tex]
Step 4: Represent the Data on a Pie Chart
A pie chart visually represents these percentages by dividing a circle into proportional sectors. Here is how you can draw and label these sectors to create the pie chart:
1. Draw a circle and split it into 100 parts (each part is 1%).
2. Allocate each subject its corresponding percentage of the circle:
- Maths: Approximately 24.2% of the circle.
- Science: Approximately 33.3% of the circle.
- English: Approximately 12.1% of the circle.
- Computer Science: Approximately 27.3% of the circle.
- Hindi: Approximately 3.0% of the circle.
- Social Science: 0.0% (this wouldn't be visible on the chart).
3. Color-code each sector and provide a legend or label directly on the chart.
Pie Chart Layout:
- Maths (24.2%): Purple
- Science (33.3%): Blue
- English (12.1%): Green
- Computer Science (27.3%): Red
- Hindi (3.0%): Orange
- Social Science (0.0%): Not visible
The final pie chart will give a clear, visual representation of the distribution of students across the different subjects.
