Answer :
Certainly! Let's create a detailed solution for the given problem.
### Step 1: Understanding the Data
We have the scores of a student in five subjects for two terms:
- Subjects: English, Hindi, Maths, Science, S. Science
- 1st Term Scores: 67, 72, 88, 81, 73
- 2nd Term Scores: 70, 65, 95, 85, 75
### Step 2: Drawing a Double Bar Graph
A double bar graph is useful to compare two sets of data across different categories. Here, we will represent the scores from both terms for each subject.
#### Selecting Appropriate Scale
Since the scores range from 0 to 100, we can use a scale where each unit on the graph represents 10 marks.
#### Constructing the Graph
1. Draw the Axes:
- Horizontal Axis (X-axis): This will represent the subjects (English, Hindi, Maths, Science, S. Science).
- Vertical Axis (Y-axis): This will represent the scores, ranging from 0 to 100 in increments of 10.
2. Label the Axes:
- Label the X-axis with the names of the subjects.
- Label the Y-axis with scores from 0 to 100.
3. Draw the Bars:
- For each subject, draw two bars side by side: one for the 1st term score and one for the 2nd term score.
- Use different colors or patterns for the bars representing the 1st term and 2nd term scores for clarity.
The bar graph will look something like this:
```
Scores
|
100| ___ ___
| | | | |
| | | | |
| | |___ | |___
| | 70 | | 95 |
| | | | |
75| | | | |___ ___
| | | | 85 | |
| | | | | |
| | ___ |___ |___ | |
| | | 73 | 81 88 | | 75 |
| | | | | |___ | |
| | | | | 88 | |
50| ___ | | | | |
| | | | | | | |
| | | | | | | |
| | | | | | | |
| | | | |__| | |
25| | 67 | 72 95 | |
| | | | 81 65 | |
| | | | | |
| |___| | | |
|________________ | _____________|______ Subjects
Eng Hin Mat Sci S. Sci
1st Term 2nd Term
```
### Step 3: Analysis Based on the Graph
After drawing the double bar graph, we can easily compare the performance in each subject between the two terms. Here are some observations:
- English: The score increased from 67 to 70 (an improvement).
- Hindi: The score decreased from 72 to 65 (a decline).
- Maths: The score increased from 88 to 95 (an improvement).
- Science: The score increased from 81 to 85 (an improvement).
- S. Science: The score increased from 73 to 75 (an improvement).
### Step 4: Conclusion
The double bar graph visually demonstrates the changes in performance across different subjects between the two terms, showing that the student improved in most subjects except for Hindi, where the scores declined. This type of graph is very effective for comparing two sets of data across multiple categories.
### Step 1: Understanding the Data
We have the scores of a student in five subjects for two terms:
- Subjects: English, Hindi, Maths, Science, S. Science
- 1st Term Scores: 67, 72, 88, 81, 73
- 2nd Term Scores: 70, 65, 95, 85, 75
### Step 2: Drawing a Double Bar Graph
A double bar graph is useful to compare two sets of data across different categories. Here, we will represent the scores from both terms for each subject.
#### Selecting Appropriate Scale
Since the scores range from 0 to 100, we can use a scale where each unit on the graph represents 10 marks.
#### Constructing the Graph
1. Draw the Axes:
- Horizontal Axis (X-axis): This will represent the subjects (English, Hindi, Maths, Science, S. Science).
- Vertical Axis (Y-axis): This will represent the scores, ranging from 0 to 100 in increments of 10.
2. Label the Axes:
- Label the X-axis with the names of the subjects.
- Label the Y-axis with scores from 0 to 100.
3. Draw the Bars:
- For each subject, draw two bars side by side: one for the 1st term score and one for the 2nd term score.
- Use different colors or patterns for the bars representing the 1st term and 2nd term scores for clarity.
The bar graph will look something like this:
```
Scores
|
100| ___ ___
| | | | |
| | | | |
| | |___ | |___
| | 70 | | 95 |
| | | | |
75| | | | |___ ___
| | | | 85 | |
| | | | | |
| | ___ |___ |___ | |
| | | 73 | 81 88 | | 75 |
| | | | | |___ | |
| | | | | 88 | |
50| ___ | | | | |
| | | | | | | |
| | | | | | | |
| | | | | | | |
| | | | |__| | |
25| | 67 | 72 95 | |
| | | | 81 65 | |
| | | | | |
| |___| | | |
|________________ | _____________|______ Subjects
Eng Hin Mat Sci S. Sci
1st Term 2nd Term
```
### Step 3: Analysis Based on the Graph
After drawing the double bar graph, we can easily compare the performance in each subject between the two terms. Here are some observations:
- English: The score increased from 67 to 70 (an improvement).
- Hindi: The score decreased from 72 to 65 (a decline).
- Maths: The score increased from 88 to 95 (an improvement).
- Science: The score increased from 81 to 85 (an improvement).
- S. Science: The score increased from 73 to 75 (an improvement).
### Step 4: Conclusion
The double bar graph visually demonstrates the changes in performance across different subjects between the two terms, showing that the student improved in most subjects except for Hindi, where the scores declined. This type of graph is very effective for comparing two sets of data across multiple categories.
