Class 5 Mathematics Chapter 15 Data Through Pictures: NCERT Study Material
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Chapter 15: Data Through Pictures
Child TV Reporter
Samaira and Kabir decided to act like reporters and collect information from their friends.
[Figure: An illustration showing Samaira and Kabir as TV reporters with a microphone, asking "How many hours a day do you spend watching TV?" to four children, See in your textbook]
They collected data from 35 friends and recorded it in a notebook as shown below.
[Figure: A collection of hand-drawn faces with speech bubbles showing different TV watching times (1/2 hr, 1 hr, 1 1/2 hr, 2 hr, 2 1/2 hr), representing data from 35 friends, See in your textbook]
| No. of Hours Spent Watching TV | No. of Children |
|---|---|
| \( \frac{1}{2} \) hour | |
| 1 hour | |
| \( 1\frac{1}{2} \) hour | |
| 2 hours | |
| More than 2 hours |
Look at the table and answer the following questions.
- How many children watch TV for more than half an hour?
- How many children watch TV for less than two hours?
- The number of children who watch TV for more than two hours is ________.
- More children watch TV for two hours than half an hour. (True/False)
Can watching TV for a long time be harmful to the eyes?
Stock-Taking in a Shop
Joseph Uncle takes stock of the play items (toys, board games, and sports items) in his store a week before the summer break. He tries to record the items in his shop using a pictograph.
He notices that there are too many items of each kind in his shop and it is not easy to make a picture for every item.
Suggest some ways to him.
Dipesh, one of his helpers, suggested using one picture (icon) for every 5 items of each kind.
[Figure: Scale legend showing = 5 toys, = 5 board games, = 5 sports items, See in your textbook]
His pictograph is shown below.
| Name of the Item | Number of Items |
|---|---|
| Toys | [Figure: 8 toy icons representing toys data, See in your textbook] |
| Board games | [Figure: 10 board game icons representing board games data, See in your textbook] |
| Sports items | [Figure: 12 sports item icons representing sports items data, See in your textbook] |
Dipesh used a scale while recording the items in the pictograph. A scale helps record a large number of things using fewer icons.
Now, answer the following questions based on the above pictograph.
- How many toys does Joseph Uncle have? __________
- How many board games does Joseph Uncle have? __________
- How many total play items does Joseph Uncle have? __________
Is there any other scale that you can use to make the pictograph? Choose your scale and show the same data using a pictograph in your notebook.
Teacher's Note
When you read a pictograph, always check the scale first. The scale tells you what each icon represents. If one icon = 5 toys, then two icons = 10 toys, not 2 toys. Count the icons carefully for each row, multiply by the scale value, and you will have the correct answer.
Two-wheelers on the Road
Deepti noted down the number of two-wheelers passing her house in one hour on three different days.
She used one icon ([Figure: two-wheeler icon, See in your textbook]) to show 3 two-wheelers.
| Day | Number of Two-wheelers [Figure: two-wheeler icon, See in your textbook] = 3 two-wheelers |
|---|---|
| Monday | [Figure: 8 two-wheeler icons representing Monday data, See in your textbook] |
| Wednesday | [Figure: 5 two-wheeler icons representing Wednesday data, See in your textbook] |
| Friday | [Figure: 11 two-wheeler icons representing Friday data, See in your textbook] |
Observe the pictograph and answer the following questions.
- Which day had the most two-wheelers passing her house? ________
- How many total two-wheelers did she record over three days? ________
- How many fewer two-wheelers were seen on Wednesday than on Monday? ________
- How many more two-wheelers were seen on Friday than on Wednesday? ___________
- Choose any other scale and represent the same data using a pictograph in your notebook.
Recording a Day
One day Raman and Sheela decided to record how they spent their day.
Raman recorded his daily routine in the table below.
| Activities | No. of Hours ([Figure: square icon, See in your textbook] = 1 hour) |
|---|---|
| Time spent sleeping | [Figure: 9 square icons representing sleeping hours, See in your textbook] |
| Time in school | [Figure: 6 square icons representing school hours, See in your textbook] |
| Time spent studying | [Figure: 2 square icons representing studying hours, See in your textbook] |
| Time spent eating and playing | [Figure: 6 square icons representing eating and playing hours, See in your textbook] |
| Other activities | [Figure: 1 square icon representing other activities hours, See in your textbook] |
Sheela recorded her routine in the following manner.
[Figure: A bar graph showing Sheela's daily routine with vertical bars for each activity (Sleeping, Time in school, Studying, Eating and playing, Other activities). The vertical axis shows "Number of Hours" from 0 to 10, and the horizontal axis shows "Activities". The bars display different heights corresponding to hours spent on each activity, See in your textbook]
How is Sheela's recording different from Raman's recording? Discuss in class.
Sheela's way of recording the data is called a bar graph.
Observe Raman's and Sheela's routines and answer the following questions.
- Whose daily routine shows more time spent on sleeping? _____________________
- Who spends more hours in the school? _____________________
- How many more hours does Sheela spend studying compared to Raman? ______________________
- Is there any activity on which they spend the same amount of time? If yes, name the activity _________________________
- Based on their data, whose routine do you think is more balanced? Why? ___________________________________
Teacher's Note
A pictograph uses icons to represent data, where each icon stands for a certain number of items according to the scale. A bar graph uses rectangular bars to show the same information. Both show data visually, but a bar graph makes it easier to compare values by looking at the heights of the bars. Choose the type of graph that works best for your data.
Day in My Life
Record your daily routine (24 hours) in hours and minutes, as necessary. Note the time spent on activities like sleeping, studying, playing, eating, and others.
Key Points
- A pictograph uses pictures or icons to show data, with each icon representing a certain number of items as shown by the scale.
- A scale helps you show large amounts of data using fewer icons, making the pictograph cleaner and easier to read.
- A bar graph displays data using rectangular bars of different heights, where the height of each bar represents the quantity of data for that category.
- When reading pictographs and bar graphs, always check the scale or axis labels first to understand what each icon or unit represents.
- Both pictographs and bar graphs help you compare data quickly and spot patterns, such as which day had the most two-wheelers or which activity takes the most time.
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