Mathematics · Class 5
Smart Charts
Learn Smart Charts with notes, examples, and practice questions.
3 sections15–25 min read3 MCQs · 1 examples
Chapter Overview
A graph is accurate only when its scale uses equal intervals and every bar begins from the same baseline.
Smart Charts advances data handling through frequency tables, pictographs, bar graphs, and simple comparisons. Learners select suitable scales, calculate totals and differences, and draw conclusions supported by data.
Collecting and Displaying Data
- A survey question should be clear and categories should cover all responses.
- Frequency is the number of times a value or category occurs.
- Choose a bar-graph scale that fits the largest value.
- Label the title, axes, categories, and scale.
Interpreting Evidence
- Add category frequencies to find the total surveyed.
- Subtract frequencies to compare categories.
- A graph shows the collected group, not necessarily everyone.
- Conclusions should quote relevant values from the chart.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Analyse Survey Data
A survey records bus 24, walk 18, cycle 12, and car 6. How many pupils were surveyed, and how many more take the bus than cycle?
- 1Add 24 + 18 + 12 + 6 = 60.
- 2Compare bus and cycle using 24 − 12.
- 3The difference is 12.
Answer
60 pupils; 12 more take the bus than cycle
Key Points to Remember
- ✓ Frequency counts occurrences
- ✓ Graph scales use equal intervals
- ✓ Totals require adding all categories
- ✓ Conclusions must follow the displayed data
Exam Tips
- • Read whether the scale counts by 1, 2, 5, or more
- • Use a ruler when drawing bars
- • Mention numbers when explaining a conclusion
Practice MCQs — Smart Charts
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 3Score: 0/0
Frequencies are 12, 15, 8, and 5. What is their total?