Class 5 Mathematics

Chapter 15 Solutions — Data Through Pictures

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Solutions

Overview

Step-by-step NCERT solutions for Data Through Pictures (Chapter 15, NCERT Class 5 Mathematics) — every question and answer worked out in full, not just the final result. You can also read the Data Through Pictures textbook chapter.

Solved

What these solutions cover

All 26 questions in Data Through Pictures are solved in the PDF. Here's what's inside, exercise by exercise:

Child TV Reporter — Reading a Tally Table (p. 179–180)

Samaira and Kabir collected TV-watching data from 35 friends. They recorded the number of children for each time slot in a table. Fill in the table by counting the faces in the notebook picture. No. of Hours Spent Watching TV | No. of Children 1/2 hour | ___ 1 hour | ___ 1 1/2 hours | ___ 2 hours | ___ More than 2 hours | ___
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)

Stock-Taking in a Shop — Reading a Pictograph (p. 180–181)

Joseph Uncle's shop has a pictograph where 1 icon = 5 items. The pictograph shows: - Toys row: 8 train icons - Board games row: 10 board-game icons - Sports items row: 12 badminton-racket icons (1) How many toys does Joseph Uncle have? (2) How many board games does Joseph Uncle have? (3) How many total play items does Joseph Uncle have?
Is there any other scale you can use to make the pictograph? Choose your scale and show the same data using a pictograph in your notebook.

Two-wheelers on the Road — Reading a Pictograph (p. 181–182)

Deepti's pictograph shows two-wheelers passing her house in one hour. Scale: 1 icon = 3 two-wheelers. Monday: 8 icons, Wednesday: 4 icons, Friday: 12 icons. 1. 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 — Reading Pictograph and Bar Graph (p. 182–183)

Raman's pictograph (1 circle = 1 hour): Sleeping = 9 hr, School = 6 hr, Studying = 2 hr, Eating and playing = 6 hr, Other = 1 hr. Sheela's bar graph: Sleeping = 8 hr, School = 7 hr, Studying = 4 hr, Eating and playing = 3 hr, Other = 2 hr. 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?

Day in My Life — Drawing a Bar Graph (p. 183–184)

Record your own daily routine (24 hours) in hours, then make a bar graph of the time you spend on different activities (sleeping, time in school, studying, eating, and others).

Whose Index Finger is Longer? — Hands-on Bar Graph Activity (p. 184–185)

Cut paper strips equal to each friend's index finger length. Paste them in the bar graph. Then answer: 1. Whose index finger is the longest? 2. The length of the longest index finger is ___ cm. 3. The smallest index finger is ___ cm long. 4. It belongs to ___.

Food Wastage in the School Canteen — Reading a Bar Graph (p. 185–186)

The bar graph shows food wasted (in kg) each weekday: Sandwich (Monday) = 5 kg, Paratha (Tuesday) = 6 kg, Khichdi (Wednesday) = 8 kg, Puri-Sabzi (Thursday) = 7 kg, Idli-Sambar (Friday) = 4 kg. Which food item had the highest amount of wastage?
Which food item had the least amount of wastage?
How much total food wastage was recorded in these days?
If 1 kg of food waste can feed 3 children, how many children could have been fed with the total food wasted?
_______ day had less food wastage than _______ day.
If the same food items are to be repeated next week, can you predict which food item is likely to be wasted the most?

True or False — Observing a Picture (p. 187)

1.
Look at the picture of children in uniform carefully. Find which statements are True or False.
- (a) All girls are wearing glasses.
- (b) More boys are holding books than girls.
- (c) The number of children holding books is greater than the number of children wearing caps.
- (d) Some children are wearing both glasses and caps.
- (e) 10 children are wearing caps on their heads.
- (f) More than half of the…

Sample

Worked examples

3 questions from Data Through Pictures, solved step by step.

Stock-Taking in a Shop — Reading a Pictograph (p. 180–181)

Joseph Uncle's shop has a pictograph where 1 icon = 5 items. The pictograph shows: - Toys row: 8 train icons - Board games row: 10 board-game icons - Sports items row: 12 badminton-racket icons (1) How many toys does Joseph Uncle have? (2) How many board games does Joseph Uncle have? (3) How many total play items does Joseph Uncle have?

Scale: 1 icon = 5 items.

(1) Toys: 8 icons x 5 = 40 toys

(2) Board games: 10 icons x 5 = 50 board games

(3) Sports items: 12 icons x 5 = 60 sports items

Total = 40 + 50 + 60 = 150 play items

Answer: (1) 40 toys (2) 50 board games (3) 150 total play items

Two-wheelers on the Road — Reading a Pictograph (p. 181–182)

Deepti's pictograph shows two-wheelers passing her house in one hour. Scale: 1 icon = 3 two-wheelers. Monday: 8 icons, Wednesday: 4 icons, Friday: 12 icons. 1. Which day had the most two-wheelers passing her house?

Monday: 8 x 3 = 24 two-wheelers

Wednesday: 4 x 3 = 12 two-wheelers

Friday: 12 x 3 = 36 two-wheelers

Friday had the most (36 two-wheelers).

Answer: Friday

Recording a Day — Reading Pictograph and Bar Graph (p. 182–183)

Is there any activity on which they spend the same amount of time? If yes, name the activity.

Compare each activity:

Sleeping: Raman 9, Sheela 8 — different

School: Raman 6, Sheela 7 — different

Studying: Raman 2, Sheela 4 — different

Eating and playing: Raman 6, Sheela 3 — different

Other: Raman 1, Sheela 2 — different

No activity has the same number of hours for both.

Answer: No, there is no activity on which they spend the same amount of time.

All 26 questions in Data Through Pictures are solved step by step in the Solutions PDF above.

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Chapter 15 Solutions — Data Through Pictures

Overview

What these solutions cover

Child TV Reporter — Reading a Tally Table (p. 179–180)

Stock-Taking in a Shop — Reading a Pictograph (p. 180–181)

Two-wheelers on the Road — Reading a Pictograph (p. 181–182)

Recording a Day — Reading Pictograph and Bar Graph (p. 182–183)

Day in My Life — Drawing a Bar Graph (p. 183–184)

Whose Index Finger is Longer? — Hands-on Bar Graph Activity (p. 184–185)

Food Wastage in the School Canteen — Reading a Bar Graph (p. 185–186)

True or False — Observing a Picture (p. 187)

Worked examples

Deepti's pictograph shows two-wheelers passing her house in one hour. Scale: 1 icon = 3 two-wheelers. Monday: 8 icons, Wednesday: 4 icons, Friday: 12 icons. 1. Which day had the most two-wheelers passing her house?

Is there any activity on which they spend the same amount of time? If yes, name the activity.

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