Data Handling and Presentation
Short Answer Questions
1. What is data?
Answer: Data is a collection of facts, numbers, observations, or information about something.
2. What is meant by frequency?
Answer: Frequency is the number of times a particular value or item occurs.
3. Why do we organise data?
Answer: We organise data to understand, analyse, and interpret it easily.
4. What are tally marks?
Answer: Tally marks are symbols used to count and record data in groups (usually in groups of 5).
5. What is the advantage of arranging data in ascending order?
Answer: It helps to easily find the smallest, largest values and compare data.
6. What is a pictograph?
Answer: A pictograph is a way of representing data using pictures or symbols.
7. What is meant by the ‘key’ in a pictograph?
Answer: The key tells how many items each symbol represents.
8. What is a bar graph?
Answer: A bar graph represents data using bars of equal width where height shows frequency.
9. Why is scale important in graphs?
Answer: Scale helps represent large data clearly and makes the graph easy to draw and understand.
10. What is one limitation of pictographs?
Answer: They become difficult to draw when data is large or not in exact multiples of the key.
Long Answer Questions
1. Find the most popular game from the given data:
Cricket – 6, Hockey – 9, Football – 5, Kabaddi – 6
Solution:
- Cricket = 6
- Hockey = 9
- Football = 5
- Kabaddi = 6
Step 1: Compare all values
Step 2: Identify the highest value
Highest = 9
Answer: Hockey is the most popular game.
2. Complete the tally table and find total students
Sweets data:
- Jalebi = 6
- Gulab Jamun = 9
- Gujiya = 13
- Barfi = 3
- Rasgulla = 7
Solution:
- Jalebi = 6
- Gulab Jamun = 9
- Gujiya = 13
- Barfi = 3
- Rasgulla = 7
Step 1: Add all values
6 + 9 + 13 + 3 + 7 = 38
Answer: Total students = 38
3. Answer based on shoe size data
Given (after arranging):
3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7
Solution:
- Smallest size = 3
- Largest size = 7
- Number of students with size 5 = 10
- Sizes greater than 4 → (5, 6, 7)
Count = 10 + 4 + 1 = 15
Answer:
- Smallest = 3
- Largest = 7
- Size 5 students = 10
- More than 4 = 15
4. Find number of children using pictograph
Given:
1 picture = 10 children
- Always = 5 pictures
- Sometimes = 2½ pictures
- Never = 4 pictures
Solution:
- Always = 5 × 10 = 50
- Sometimes = (2 × 10) + 5 = 25
- Never = 4 × 10 = 40
Answer:
- Always = 50
- Sometimes = 25
- Never = 40
5. Answer questions from bar graph data (students absent)
Data:
Class 1–8 → 3, 5, 4, 2, 0, 1, 5, 7
Solution:
- Class 2 = 5 students absent
- Maximum = 7 (Class 8)
- Minimum = 0 (Class 5 → full attendance)
Answer:
- Class 2: 5 students
- Maximum: Class 8
- Full attendance: Class 5
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