Data Through Pictures
CBSE · Class 5 · Mathematics
NCERT Solutions for Data Through Pictures — CBSE Class 5 Mathematics.
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TV Watching Habits — Table-Based Questions
1How many children watch TV for more than half an hour?Show solution
Children who watch TV for more than half an hour includes those who watch for 1 hour, 1½ hours, 2 hours, and more than 2 hours.
Since the actual filled values in the table are not visible in the OCR, we note the method:
Add the number of children from all rows except the '½ hour' row to get the answer.
Note: The exact numbers depend on the data filled in the table (not visible in the image). Apply the above method to the given table.
2How many children watch TV for less than two hours?Show solution
Add the number of children from the first three rows of the table.
Note: Apply this method to the actual numbers given in your table.
3The number of children who watch TV for more than two hours is ______.Show solution
That number is the answer.
Note: Fill in the blank using the value from the 'More than 2 hours' row of your table.
4More children watch TV for two hours than half an hour. (True/False)Show solution
- If the number for '2 hours' > number for '½ hour', the statement is True.
- If the number for '2 hours' number for '½ hour', the statement is False.
Note: Apply this comparison to the actual values in your table to determine True or False.
Stock-Taking in a Shop — Pictograph Questions
1How many toys does Joseph Uncle have?Show solution
Method:
Count the number of icons shown in the 'Toys' row of the pictograph and multiply by 5.
Note: Since the image is not fully visible, apply the formula above to the number of icons shown in your textbook's pictograph.
2How many board games does Joseph Uncle have?Show solution
Count the icons in the 'Board games' row and multiply by 5.
Note: Apply this to the actual pictograph in your textbook.
3How many total play items does Joseph Uncle have?Show solution
Step 1: Find the number of each item by multiplying the icons in each row by 5.
Step 2: Add all three values.
Note: Apply this formula to the actual icon counts in your textbook's pictograph.
Two-wheelers on the Road — Pictograph Questions
1Which day had the most two-wheelers passing her house?Show solution
From the pictograph:
- Monday: Count the icons and multiply by 3.
- Wednesday: Count the icons and multiply by 3.
- Friday: Count the icons and multiply by 3.
From the OCR representation, Friday appears to have the most icons.
Friday had the most two-wheelers passing Deepti's house.
2How many total two-wheelers did she record over three days?Show solution
From the pictograph (counting icons from OCR):
- Monday: 7 icons two-wheelers
- Wednesday: 4 icons two-wheelers (approximately, based on OCR)
- Friday: 8 icons two-wheelers
Note: Count the exact icons from your textbook's pictograph and apply the same method. The answer may vary based on exact icon count.
3How many fewer two-wheelers were seen on Wednesday than on Monday?Show solution
Using values from Question 2:
9 fewer two-wheelers were seen on Wednesday than on Monday.
Note: Use the exact icon counts from your textbook for the precise answer.
4How many more two-wheelers were seen on Friday than on Wednesday?Show solution
Using values from Question 2:
12 more two-wheelers were seen on Friday than on Wednesday.
Note: Use the exact icon counts from your textbook for the precise answer.
5Choose any other scale and represent the same data using a pictograph in your notebook.Show solution
- Monday: 21 two-wheelers
- Wednesday: 12 two-wheelers
- Friday: 24 two-wheelers
New Scale chosen: 1 icon = 6 two-wheelers
Pictograph (to be drawn in notebook):
| Day | Number of Two-wheelers (1 icon = 6 two-wheelers) |
|---|---|
| Monday | 🛵🛵🛵½ |
| Wednesday | 🛵🛵 |
| Friday | 🛵🛵🛵🛵 |
A half icon represents 3 two-wheelers (half of 6).
Draw this pictograph neatly in your notebook with the scale clearly mentioned.
Recording a Day — Raman and Sheela's Routine Questions
1Whose daily routine shows more time spent on sleeping?Show solution
- Raman's table shows: Time spent sleeping = 8 boxes = 8 hours (since 1 box = 1 hour).
- Sheela's bar graph: Read the bar for 'Sleeping' from her graph.
From Raman's table: Sleeping = 8 hours.
Compare with Sheela's bar graph value for sleeping.
If Sheela's sleeping bar shows less than 8 hours, then Raman spends more time sleeping.
Note: Read Sheela's bar graph from your textbook and compare. Based on typical data in this chapter, Raman spends more time sleeping (8 hours).
2Who spends more hours in school?Show solution
- Raman's table: Time in school = 5 boxes = 5 hours.
- Sheela's bar graph: Read the bar for 'School'.
Compare the two values. The one with the higher value spends more hours in school.
Note: Read Sheela's bar for school from your textbook and compare with Raman's 5 hours to determine the answer.
3How many more hours does Sheela spend studying compared to Raman?Show solution
- Raman's table: Time spent studying = 2 boxes = 2 hours.
- Sheela's bar graph: Read the bar for 'Studying'.
Note: Read Sheela's study hours from the bar graph in your textbook and subtract 2 to get the answer.
4Is there any activity on which they spend the same amount of time? If yes, name the activity.Show solution
Raman's activities and hours:
- Sleeping: 8 hours
- School: 5 hours
- Studying: 2 hours
- Eating and playing: 5 hours (but labelled as 'eating and playing')
- Other activities: 1 hour
Compare each with Sheela's corresponding bar in the bar graph.
If any activity shows the same bar height (same number of hours) for both, that is the answer.
Note: Read Sheela's bar graph carefully from your textbook and match with Raman's values to find the common activity.
5Based on their data, whose routine do you think is more balanced? Why?Show solution
A balanced routine includes adequate time for sleeping, studying, playing, eating, and other activities.
Example Answer:
Sheela's routine appears more balanced because she distributes her time more evenly among studying, playing, eating, and other activities, while Raman spends a large portion of time sleeping (8 hours) and relatively less time on other activities.
Note: Your answer may vary. Justify your choice by comparing the hours spent on each activity by both Raman and Sheela using the data from the table and bar graph.
Index Finger Length — Bar Graph Questions
1Whose index finger is the longest?Show solution
Look at the bar graph and identify the bar with the greatest height (longest bar).
The name corresponding to the tallest bar is the person with the longest index finger.
Answer: _______ (Fill in the name from your bar graph.)
2The length of the longest index finger is _______ cm.Show solution
Read the value on the y-axis (length in cm) corresponding to the tallest bar.
Answer: _______ cm (Fill in the value from your bar graph.)
3The smallest index finger is _______ cm long.Show solution
Look at the bar with the smallest height (shortest bar) and read its value on the y-axis.
Answer: _______ cm (Fill in the value from your bar graph.)
4It belongs to _______.Show solution
The shortest bar corresponds to the person with the smallest index finger.
Read the name on the x-axis below the shortest bar.
Answer: _______ (Fill in the name from your bar graph.)
Food Wastage in the School Canteen — Bar Graph Questions
1Which food item had the highest amount of wastage?Show solution
Look at the bar graph and identify the bar with the greatest height.
The food item corresponding to the tallest bar had the highest wastage.
Answer: _______ (Read from the bar graph in your textbook.)
Note: Based on typical school data, rice or dal tends to be wasted the most. Read the exact answer from your textbook's graph.
2Which food item had the least amount of wastage?Show solution
Look at the bar graph and identify the bar with the smallest height.
The food item corresponding to the shortest bar had the least wastage.
Answer: _______ (Read from the bar graph in your textbook.)
3How much total food wastage was recorded in these days?Show solution
Step 1: Read the value (in kg) for each food item from the bar graph.
Step 2: Add all the values.
Answer: _______ kg (Calculate using the values from your textbook's bar graph.)
4If 1 kg of food waste can feed 3 children, how many children could have been fed with the total food wasted?Show solution
- 1 kg of food waste can feed 3 children.
- Total food wasted = T kg (from Question 3).
Formula:
Answer: Multiply your answer from Question 3 by 3 to get the number of children who could have been fed.
5______ day had less food wastage than ______ day.Show solution
Compare the bars for different days:
- The day with a shorter bar had less wastage.
- The day with a taller bar had more wastage.
Answer: _______ day had less food wastage than _______ day.
(Fill in by comparing the bars in your textbook's bar graph. For example: 'Monday day had less food wastage than Friday day.')
6If the same food items are to be repeated next week, can you predict which food item is likely to be wasted the most?Show solution
Answer: Yes, we can predict.
The food item that had the highest wastage this week is likely to be wasted the most next week as well, assuming the same eating habits and preferences of the students.
From the bar graph, the food item with the tallest bar (highest wastage) this week is the predicted answer.
Answer: _______ is likely to be wasted the most next week.
(Fill in the food item with the highest bar from your textbook's graph.)
Reason: Past data is a good indicator of future trends when conditions remain the same.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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