20. The results of the pass percentage of Class [tex]$X$[/tex] and Class [tex]$XII$[/tex] in the C.B.S.E. examination for 5 years are given in the following table:

\begin{tabular}{|c|c|c|c|c|c|}
\hline
Year & [tex]$2001-02$[/tex] & [tex]$2002-03$[/tex] & [tex]$2003-04$[/tex] & [tex]$2004-05$[/tex] & [tex]$2005-06$[/tex] \\
\hline
Class [tex]$X$[/tex] & 90 & 95 & 90 & 80 & 98 \\
\hline
Class [tex]$XII$[/tex] & 95 & 80 & 85 & 90 & 95 \\
\hline
\end{tabular}

Draw a double bar graph to represent the data.



Answer :

Sure, let's create a detailed step-by-step guide on how to draw a double bar graph to represent the given data.

Step 1: Understand the Data

We have pass percentages for Class X and Class XII over five years:

- Years: 2001-02, 2002-03, 2003-04, 2004-05, 2005-06
- Class X Pass Percentages: 90, 95, 90, 80, 98
- Class XII Pass Percentages: 95, 80, 85, 90, 95

Step 2: Set Up the Graph

1. Title: Give your graph a suitable title, such as "Pass Percentages of Class X and Class XII (2001-2006)".
2. X-Axis: Label the x-axis with the years.
3. Y-Axis: Label the y-axis with the pass percentages. Choose a suitable scale for the y-axis, in this case, from 0 to 100 (as percentages).

Step 3: Plot the Data

1. Draw the Grid: Create a grid corresponding to the years on the x-axis and percentages on the y-axis.
2. Bar Width: Decide on the width for each bar. Since we are drawing a double bar graph, for each year, there will be two bars: one for Class X and one for Class XII.
3. Spaces Between Bars: Leave some space between the bars for the same year and also between different years for clarity.

Step 4: Draw the Bars

1. For each year, draw one bar for the pass percentage of Class X and another bar next to it for the pass percentage of Class XII.
2. Use different colors or shading patterns to distinguish between the bars representing Class X and Class XII.

Step 5: Add Legend and Labels

1. Legend: Add a legend to explain the colors or patterns used for Class X and Class XII.
2. Labels: Label the top of each bar with the exact pass percentage value to enhance clarity.

Example:

Let's visually imagine the graph with the given data:

1. 2001-02:
- Class X: 90%
- Class XII: 95%
2. 2002-03:
- Class X: 95%
- Class XII: 80%
3. 2003-04:
- Class X: 90%
- Class XII: 85%
4. 2004-05:
- Class X: 80%
- Class XII: 90%
5. 2005-06:
- Class X: 98%
- Class XII: 95%

Note: Actual drawing on paper or using graphing software will involve plotting bars corresponding to these values.

Legend:
- Class X: Blue Bars (for example)
- Class XII: Red Bars (for example)

This way, the double bar graph should clearly depict the pass percentages of Class X and Class XII over the specified years, allowing for easy comparison.