Class 5 · Mathematics
Data handling
📘 Chapter notes
The key ideas of this chapter, answered through the six guiding questions. Read them with your textbook.
1What am I looking at?
Answer: Collecting, organising and showing information with tables and graphs.
2What are its main parts or ideas?
Answer: Tally marks, frequency tables, pictographs and bar graphs.
3How does it work?
Answer: Record data with tallies, count the frequencies and draw bars of matching height on a chosen scale.
4Why is it important?
Answer: Graphs make it easy to compare and to spot the most and least.
5What happens if something changes?
Answer: Changing the scale changes bar heights but not the data.
6What should I remember for the exam?
Answer: Read and draw bar graphs and pictographs and answer questions from them.
📗 Full lesson: Data handling, tables and graphs
This topic comes from GayaGnan's India-wide K–12 catalog. It is not copied from, or an official chapter of, any board's textbook: check your board's syllabus for the exact chapter and depth. Open as its own page →
🧊 3D / visual
🧊 3D
ℹ️ Values are sample data.
VIS-005 · Bar chart, histogram, pie chart, scatter plot — Change data and observe graph
🎯 Learning outcomes
- Collect and organise data in tally and frequency tables
- Draw and read bar graphs with a scale
- Draw conclusions from data
Before you start: Tally marks and picture graphs.
📖 Explanation
Raw data is a list of observations. A frequency table shows how often each value occurs.
A bar graph shows each category as a bar; the height (or length) of the bar shows the frequency. Choose a sensible scale, for example 1 cm = 5 students, and label both axes.
From a graph we can find the most and least common items, totals and differences, and suggest reasons.
A class in Jaipur recorded rainfall in mm for each month of the monsoon and drew a bar graph to see that July and August were the wettest.
✗ The tallest bar is always the most important result
✓ The tallest bar shows the highest frequency only; read the question and the scale carefully.
🧪 Try this activity
Survey your class about favourite sports, make a frequency table and draw a bar graph with a suitable scale.
✍️ Question bank with answers
Tap an option to check multiple-choice answers. Open “Answer” or “Marking points” for the others.
-
In a bar graph with scale 1 unit = 10 children, a bar 4 units high shows
Answer
A. 40 children
4 × 10 = 40.
-
Which is the best first step after collecting raw data?
Answer
C. make a frequency table
Organise the data before graphing it.
-
Scores 3, 5, 5, 2, 5, 3. Which score is most frequent?
Answer
A. 5
5 appears three times.
-
What does each bar in a bar graph show?
Answer
the frequency of one category
-
Name the two axes of a graph.
Answer
horizontal axis and vertical axis
-
Why must a bar graph have a scale?
Marking points
- To know what each unit of height stands for
- So the values can be read correctly
-
Votes for class monitor: Asha 12, Bala 8, Chitra 15, Dev 5. Draw a bar graph and write three conclusions.
Marking points
- Scale such as 1 unit = 2 votes
- Correct bars
- Chitra won
- Dev got fewest votes
- Total votes 40
-
A shop sold 30 ice creams on Monday and 75 on Sunday. Suggest a reason.
Answer
- Holiday or more customers on Sunday
- Any sensible reason
-
Draw a frequency table for these fruits: apple, mango, mango, banana, apple, mango.
Answer
- Apple 2
- Mango 3
- Banana 1
🎲 Practice more
A new set of questions every time you press the button. Tap an option to check it and see why. Maths, science, computer and commerce sets get fresh numbers and pictures on every try.
Turn on JavaScript to get practice sets.