Solved Examples

Example 1: Smriti’s Runs (Bar Graph Scale)

Problem: Smriti scored the following runs in 8 matches: 80, 50, 10, 100, 90, 0, 90, 50.

Task: Draw a bar graph.

Solution Analysis:

1. Range: The scores range from 0 to 100.
2. Scale Selection:
   • If we take 1 unit = 1 run, the graph will be 100 units tall (too big).
   • If we take 1 unit = 10 runs, the graph will be 10 units tall (perfect).
3. Drawing:
   • Match 1 (80): Draw bar up to 8 units.
   • Match 2 (50): Draw bar up to 5 units.
   • Match 3 (10): Draw bar up to 1 unit.
   • Match 4 (100): Draw bar up to 10 units.
   • Match 6 (0): No bar (height is 0).

Example 2: Interpreting Tally Marks

Problem: A teacher marked attendance using tally marks. For a specific day, the mark was: |||| |||| ||. How many students were present?

Solution:

1. Identify complete bundles: There are 2 bundles of |||| (crossed).
   • $2 \times 5 = 10$.
2. Identify loose lines: There are 2 loose lines ||.
   • $10 + 2 = 12$.
3. Answer: 12 students.