Summary
Chapter 15 of the Class 5 Mathematics NCERT textbook (Maths Mela), "Data Through Pictures", teaches students how to collect, organise, and read data using pictographs and bar graphs — download the PDF to explore real-life activities like tracking TV hours, counting two-wheelers, and recording daily routines through hands-on exercises.
- Pictographs with a Scale — The chapter introduces pictographs where one icon represents more than one item, using a scale. For example, one toy icon stands for 5 items, making it practical to represent large quantities with fewer pictures.
- Reading and Making Bar Graphs — Students learn to read a bar graph that uses vertical bars on a horizontal base to show quantities. Sheela's daily routine chart — tracking hours spent sleeping, in school, studying, eating and playing — is used as the model example.
- Collecting and Organising Data — The chapter begins with Samaira and Kabir collecting data from 35 friends about TV-watching hours. Students practise recording raw observations into a table and drawing conclusions from it.
- Interpreting Data for Real Situations — Activities such as tracking food wastage in a school canteen across five weekdays and comparing two-wheeler counts on three different days build the skill of reading graphs to answer specific questions.
- Hands-On Data Activity — In the 'Whose Index Finger is Longer?' activity, students measure their own index fingers using paper strips and paste them into a bar graph, directly connecting physical measurement with data representation.
Key points & formulas
- 01A pictograph uses one icon to represent multiple items; in the shop stock example, one icon equals 5 toys, 5 board games, or 5 sports items.
- 02A scale in a pictograph allows large numbers to be shown with fewer icons, making the data easier to read.
- 03A bar graph uses vertical bars on a horizontal axis to represent quantities, as shown through Sheela's daily routine.
- 04Data is first collected as raw counts (35 friends surveyed about TV hours) and then organised into a table before being shown as a graph.
- 05The two-wheeler activity uses a scale of 1 icon = 3 two-wheelers, and students compare counts across Monday, Wednesday, and Friday.
- 06The food wastage bar graph tracks data for five weekdays (Sandwich to Idli-Sambar) and includes a question about how many children could have been fed from the wasted food.
- 07Students are asked to record their own 24-hour daily routine and create a personal bar graph, making the data activity self-referential and exploratory.
Frequently asked questions
01What is Chapter 15 of Class 5 Maths Mela about?
Chapter 15, Data Through Pictures, teaches students how to collect, record, and read data using tables, pictographs, and bar graphs. Real-life situations like TV-watching habits, shop inventory, and food wastage in a school canteen are used as examples.
02What is a pictograph and how is it used in this chapter?
A pictograph represents data using pictures or icons where each icon stands for a fixed number of items. In the chapter, Joseph Uncle's helper Dipesh uses one icon to represent 5 items (toys, board games, or sports items) to record shop inventory without drawing a picture for every single item.
03What is a scale in a pictograph?
A scale tells you how many real items each icon in a pictograph stands for. Dipesh used a scale of 1 icon = 5 items so that large numbers of shop stock could be shown using fewer pictures.
04What is a bar graph and how is it different from a pictograph?
A bar graph uses vertical bars on a grid to show data, with a horizontal base listing categories and a vertical line showing numbers. In the chapter, Sheela records her daily routine as a bar graph, while Raman records the same kind of information in a table, showing that a bar graph gives a quick visual comparison at a glance.
05How many friends did Samaira and Kabir collect TV-watching data from?
Samaira and Kabir collected data from 35 friends and recorded how many hours each child spends watching TV every day in a notebook table.
06What real-life situation is used to explain pictographs in this chapter?
Joseph Uncle's toy and games shop is used to explain pictographs. He needed to record large quantities of toys, board games, and sports items, so his helper Dipesh suggested using one picture icon to represent every 5 items of each kind.
07What scale did Deepti use in her two-wheeler pictograph?
Deepti used a scale where one icon represents 3 two-wheelers. She noted down the number of two-wheelers passing her house in one hour on Monday, Wednesday, and Friday and used this scale to draw her pictograph.
08What does the food wastage bar graph in the chapter show?
The bar graph shows the amount of food wasted in kilograms in a residential school canteen on each weekday, with different food items such as sandwich on Monday, paratha on Tuesday, khichdi on Wednesday, puri-sabzi on Thursday, and idli-sambar on Friday.
09How can you use a bar graph to compare index finger lengths?
The chapter has a hands-on activity where students cut paper strips equal to their own index finger length, then paste the strips vertically on a bar graph grid to visually compare whose index finger is longest and whose is shortest.
10Why is it useful to use a scale when drawing a pictograph?
Using a scale allows you to represent a very large number of items with just a few icons, making the pictograph easier to draw and read. Without a scale, drawing one picture for every single item would be impractical when there are many hundreds of objects, as seen in Joseph Uncle's shop.
11What kinds of data collection activities does this chapter include?
The chapter includes collecting data on hours children spend watching TV, recording how many two-wheelers pass a house on different days, comparing daily routines of two children, measuring index finger lengths, and tracking food wastage in a school canteen over five weekdays.
12What question does the food wastage section ask students to think about?
After showing the food wastage bar graph, the chapter asks students to think about why food wastage is a problem, how it can be reduced, and what can be done with leftover food, connecting the data reading skill to real-world responsibility.
More chapters in Maths Mela
Read Chapter 15 of Maths Mela, the Class 5 Mathematics NCERT textbook (2026-27 edition), online for free: the complete chapter as published by NCERT with every diagram, solved example and exercise, with step-by-step solutions, answers and revision notes. Open the NCERT PDF above, or browse all NCERT Class 5 textbooks.
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