Data Collection and Organisation (Grade 5)
Data is information collected about people, objects, or events. In Class 5, you will learn how to collect data using observations and surveys, and how to organise it into tally marks, frequency tables, and grouped data.
Organising data makes it easier to read, compare, and draw conclusions. Raw data (unorganised numbers) is hard to interpret. Once arranged in a table, patterns and totals become visible immediately.
This skill is used in science experiments, sports statistics, weather records, and everyday decision-making.
What is Data Collection and Organisation - Class 5 Maths (Data Handling)?
Data is a collection of facts, numbers, or information gathered for a purpose.
- Raw data: Data that has not been arranged or sorted. Example: 5, 3, 5, 7, 3, 5, 7, 3.
- Organised data: Data arranged in a meaningful order using tables, tally charts, or frequency tables.
- Tally marks: A way to count using lines. Every fifth mark crosses the previous four: |||| = 5.
- Frequency: The number of times a particular value appears in the data.
- Frequency table: A table showing each value and its frequency.
Types and Properties
Methods of data collection:
- Observation: Watching and recording (e.g., counting vehicles on a road).
- Survey/Questionnaire: Asking people questions (e.g., favourite fruit).
- Experiment: Performing an activity and recording results (e.g., tossing a coin).
- Existing records: Using data from newspapers, school records, or websites.
Ways to organise data:
- Tally chart: Uses tally marks to count occurrences quickly.
- Frequency table: Shows each category and its count.
- Grouped frequency table: Groups data into intervals (e.g., 0-10, 11-20) when values spread over a wide range.
Solved Examples
Example 1: Example 1: Making a Tally Chart
Problem: Ria asked 20 classmates about their favourite fruit. Responses: Mango, Mango, Apple, Banana, Mango, Apple, Banana, Mango, Apple, Banana, Mango, Guava, Mango, Apple, Banana, Guava, Mango, Apple, Banana, Mango. Make a tally chart.
Solution:
| Fruit | Tally | Frequency |
|---|---|---|
| Mango | |||| ||| | 8 |
| Apple | |||| | 5 |
| Banana | |||| | 5 |
| Guava | || | 2 |
| Total | 20 | |
Answer: Mango is the most popular fruit with a frequency of 8.
Example 2: Example 2: Reading a Frequency Table
Problem: A frequency table shows the number of goals scored by 5 students in a football match:
| Student | Goals |
|---|---|
| Arjun | 3 |
| Dev | 5 |
| Kavi | 2 |
| Rahul | 4 |
| Aman | 1 |
Who scored the most goals? What is the total?
Solution:
Most goals: Dev (5). Total = 3 + 5 + 2 + 4 + 1 = 15.
Answer: Dev scored the most goals. Total goals = 15.
Example 3: Example 3: Organising Raw Data
Problem: Marks of 15 students in a quiz (out of 10): 7, 5, 8, 7, 6, 5, 9, 7, 8, 6, 5, 7, 8, 9, 6. Organise into a frequency table.
Solution:
| Marks | Tally | Frequency |
|---|---|---|
| 5 | ||| | 3 |
| 6 | ||| | 3 |
| 7 | |||| | 4 |
| 8 | ||| | 3 |
| 9 | || | 2 |
| Total | 15 | |
Answer: The most common mark is 7 (frequency 4).
Example 4: Example 4: Grouped Frequency Table
Problem: Heights (in cm) of 20 students: 120, 135, 128, 142, 115, 138, 125, 130, 145, 118, 132, 140, 127, 136, 122, 148, 133, 119, 141, 126. Group into intervals of 10 cm.
Solution:
| Height (cm) | Tally | Frequency |
|---|---|---|
| 110 – 119 | ||| | 3 |
| 120 – 129 | |||| | | 6 |
| 130 – 139 | |||| | | 6 |
| 140 – 149 | |||| | 5 |
| Total | 20 | |
Answer: Most students fall in the 120-129 cm and 130-139 cm groups (6 each).
Example 5: Example 5: Collecting Data by Survey
Problem: Priya surveys 25 students about their favourite sport. Cricket: 10, Football: 7, Badminton: 5, Tennis: 3. Represent this in a frequency table.
Solution:
| Sport | Frequency |
|---|---|
| Cricket | 10 |
| Football | 7 |
| Badminton | 5 |
| Tennis | 3 |
| Total | 25 |
Answer: Cricket is the most popular sport.
Example 6: Example 6: Counting Using Tally Marks
Problem: Convert this tally to a number: |||| |||| |||
Solution:
|||| = 5, |||| = 5, ||| = 3
Total = 5 + 5 + 3 = 13
Answer: The tally represents 13.
Example 7: Example 7: Finding Missing Frequency
Problem: In a class of 40, the frequencies of different blood groups are: A = 12, B = 15, AB = ?, O = 8. Find the missing frequency.
Solution:
Step 1: Total = 40
Step 2: 12 + 15 + AB + 8 = 40
Step 3: 35 + AB = 40
Step 4: AB = 5
Answer: The frequency of blood group AB is 5.
Example 8: Example 8: Observation Data
Problem: Meera counts vehicles passing her school gate in 30 minutes: Cars = 18, Buses = 6, Auto-rickshaws = 12, Bikes = 24. Which vehicle passed the most? Which the least?
Solution:
Most: Bikes (24). Least: Buses (6).
Answer: Bikes passed the most (24) and buses the least (6).
Example 9: Example 9: Comparing Two Data Sets
Problem: Section A has 12 students who like maths and 8 who like science. Section B has 10 who like maths and 15 who like science. Which section has more science lovers?
Solution:
Section A science: 8, Section B science: 15.
Answer: Section B has more science lovers (15 > 8).
Example 10: Example 10: Choosing the Right Collection Method
Problem: How would you collect data about the favourite TV show of your class?
Solution:
Use a survey or questionnaire. Ask each student to name their favourite TV show. Record each answer using tally marks. Then compile into a frequency table.
Answer: The best method is a survey with a frequency table for organisation.
Real-World Applications
Where do we use data collection and organisation?
- School: Recording attendance, marks, and sports scores.
- Weather: Collecting temperature, rainfall, and humidity data daily.
- Sports: Tracking runs scored, goals, or medals won by teams.
- Health: Recording height, weight, and vaccination data of students.
- Business: Tracking sales, customer feedback, and inventory.
Key Points to Remember
- Data is information collected for analysis.
- Raw data is unorganised. Frequency tables and tally charts make it organised.
- Tally marks use groups of 5 (||||) for easy counting.
- Frequency = number of times a value appears.
- Data can be collected by observation, survey, experiment, or from records.
- A grouped frequency table is used when data values are spread over a wide range.
- The total of all frequencies must equal the total number of observations.
- Organised data makes patterns, modes, and comparisons easy to identify.
Practice Problems
- 30 students were asked their favourite colour. Red: 8, Blue: 10, Green: 7, Yellow: 5. Make a frequency table and find the most popular colour.
- Convert the tally |||| |||| |||| || into a number.
- Marks of 12 students: 6, 8, 7, 6, 9, 8, 7, 6, 8, 7, 9, 8. Make a frequency table.
- In a survey of 50 students, 18 prefer cricket, 14 prefer football, and 8 prefer badminton. How many prefer other sports?
- Organise these weights (in kg) into groups of 5 kg: 32, 38, 41, 29, 35, 44, 37, 30, 42, 33.
- Kavi records the number of birds he sees each morning for 7 days: 12, 8, 15, 10, 8, 12, 15. Make a frequency table.
- What method of data collection would you use to find how many students in your school use the school bus?
- A frequency table has values 2, 3, 4, 5 with frequencies 5, 8, ?, 3. Total observations = 24. Find the missing frequency.
Frequently Asked Questions
Q1. What is data in maths?
Data is a collection of facts, numbers, or observations gathered for a specific purpose. Examples include marks of students, temperatures recorded over a week, or favourite fruits of a class.
Q2. What is the difference between raw data and organised data?
Raw data is unprocessed and listed as collected (e.g., 5, 3, 5, 7, 3). Organised data is arranged in tables or charts with tally marks and frequencies, making it easy to read and analyse.
Q3. What are tally marks?
Tally marks are a counting method using vertical lines. Every fifth mark is drawn diagonally across the previous four, making groups of 5 for easy counting.
Q4. What is frequency?
Frequency is the number of times a particular value or category appears in a data set. For example, if 8 students like mango, the frequency of mango is 8.
Q5. What is a frequency table?
A frequency table lists each value (or category) alongside its frequency (count). It often includes a tally column to show how the counting was done.
Q6. When do we use a grouped frequency table?
When data values are spread over a wide range (e.g., heights from 110 cm to 150 cm), we group them into intervals like 110-119, 120-129, etc. This simplifies the table.
Q7. What are the methods of collecting data?
Data can be collected through observation (watching and counting), surveys (asking questions), experiments (performing activities and recording results), or from existing records (newspapers, school databases).
Q8. How do you check if a frequency table is correct?
Add up all the frequencies. The total must equal the total number of observations. If it doesn’t, there is an error in counting.
Q9. Is this topic in the NCERT Class 5 syllabus?
Yes. Data collection, tally charts, and frequency tables are part of the Data Handling chapter in NCERT/CBSE Class 5 Maths.
