1. The marks obtained by Vidit in his half-yearly examination (out of 100) are given below:

\begin{tabular}{|l|c|c|c|c|c|}
\hline
Subjects & Hindi & English & Mathematics & Science & Social Science \\
\hline
Marks Obtained & 90 & 95 & 98 & 85 & 78 \\
\hline
\end{tabular}

Draw a bar graph to represent the above data.



Answer :

Of course! Let's work through the steps to draw a bar graph to represent the marks obtained by Vidit in his half-yearly examination.

### Step-by-Step Solution:

1. Understand the Data:
- We have the subjects and the marks obtained in each subject:
- Hindi: 90
- English: 95
- Mathematics: 98
- Science: 85
- Social Science: 78

2. Set Up the Coordinate System:
- We will use a rectangular coordinate system (a grid with an x-axis and y-axis).
- The horizontal axis (x-axis) will represent the subjects.
- The vertical axis (y-axis) will represent the marks obtained.

3. Label the Axes:
- On the x-axis, we will mark the subjects: Hindi, English, Mathematics, Science, and Social Science.
- On the y-axis, we will mark the range of marks, like 0, 10, 20, ..., up to 100, depending on how many marks we need to show.

4. Draw the Bars:
- For each subject, we will draw a vertical bar. The height of each bar will correspond to the marks obtained in that subject.
- Each bar will be uniformly wide and equally spaced from each other.

5. Add Titles and Labels:
- We will add a title to the bar graph to indicate what it represents.
- We will also label the x-axis (Subjects) and the y-axis (Marks Obtained).

### Example Illustration:

Let's visualize the steps with a rough sketch:

```
Marks (Y-axis)
100 ─┤
90 ─┤ ──█──
80 ─┤ ──█──
70 ─┤
60 ─┤
50 ─┤
40 ─┤
30 ─┤
20 ─┤
10 ─┤
0 ─┼───────────────────────────────────────────────────
Hindi English Mathematics Science Social Science
Subjects (X-axis)
```

### Detailed Bar Graph:

1. Title:
- Marks obtained by Vidit in Half-Yearly Examination

2. X-axis (Subjects):
- Hindi, English, Mathematics, Science, Social Science

3. Y-axis (Marks Obtained):
- The range should be from 0 to 100, with appropriate intervals (e.g., increments of 10).

4. Drawing the Bars:
- Hindi: Draw a bar extending up to 90 on the y-axis.
- English: Draw a bar extending up to 95 on the y-axis.
- Mathematics: Draw a bar extending up to 98 on the y-axis.
- Science: Draw a bar extending up to 85 on the y-axis.
- Social Science: Draw a bar extending up to 78 on the y-axis.

By following these steps, you can accurately represent the given data in a bar graph. A typical bar graph can be drawn on graph paper or using software tools designed for creating charts.