Chapter 15: Data Through Pictures

A school library records books borrowed by students: Grade 3 (20 books), Grade 4 (35 books), Grade 5 (45 books).
(a) If a symbol 📖 represents 5 books, how many book symbols will represent Grade 3, Grade 4, and Grade 5?
(b) Which class borrowed the maximum number of books?
(c) What is the total number of books borrowed by all three classes?

In a class of 30 students, the favorite fruits are: Mango (12), Apple (8), Banana (6), Orange (4).
(a) Draw a frequency table using tally marks in bundles of five (||||).
(b) What fraction of students chose Mango as their favorite fruit?

A bar graph shows student attendance in Grade 5 over one week:
Monday: 42, Tuesday: 45, Wednesday: 40, Thursday: 44, Friday: 38 (Class strength = 45).
(a) On which day was attendance 100% full?
(b) On which day was attendance lowest, and how many students were absent?
(c) What was the average daily attendance for the week?

Students counted vehicles passing a school gate in 30 minutes: Two-wheelers (60), Cars (35), Auto-rickshaws (25), Buses (10).
(a) What was the total number of vehicles counted?
(b) Which vehicle type was most common, and what percentage of total traffic did it represent?
(c) What is the ratio of Buses to Cars?

A circular Chapati Chart represents how 40 children travel to school: 1/2 walk on foot, 1/4 ride bicycles, 1/8 take the school bus, and 1/8 come by car.
(a) How many children walk on foot?
(b) How many children ride bicycles?
(c) How many children travel by school bus or car?

A family's electricity bill shows units consumed over 4 months: January: 180 units, February: 160 units, March: 240 units, April: 320 units.
(a) In which month was consumption highest? Why did it increase in March and April?
(b) What was the total units consumed over the 4 months?
(c) If electricity costs ₹7 per unit, find the total bill amount for April.

A village dairy records daily milk collection in litres: Monday (240 L), Tuesday (360 L), Wednesday (300 L), Thursday (180 L).
(a) What would be a convenient scale for a milk can symbol 🛢️ (e.g. 1 symbol = ? litres)?
(b) How many symbols will be drawn for each day using that scale?

Maximum temperatures recorded in 4 Indian cities on a May afternoon: Delhi (42°C), Mumbai (34°C), Srinagar (22°C), Chennai (38°C).
(a) Which city recorded the highest temperature?
(b) Which city recorded the lowest temperature?
(c) What is the difference in temperature between Delhi and Srinagar?

In an environmental drive, five student clubs plant trees:
Club A (25), Club B (40), Club C (35), Club D (50), Club E (30).
(a) If 🌲 represents 10 trees, draw/write the number of full and half trees for each club.
(b) Which club planted the most trees?

A survey of boys and girls in Grade 5 shows their preferred sport:
• Football: Boys 18, Girls 8
• Badminton: Boys 10, Girls 16
• Cricket: Boys 20, Girls 6
(a) Which sport is most popular among boys?
(b) Which sport is most popular among girls?
(c) What is the total number of students surveyed?

Marks obtained by 5 friends in Mathematics (out of 50):
Aarav: 48, Divya: 42, Farhan: 45, Gurpreet: 39, Tanya: 46.
(a) Find the range of marks (Highest mark - Lowest mark).
(b) Calculate the mean (average) mark of the 5 students.

A weather station records monthly monsoon rainfall in millimetres:
June: 120 mm, July: 280 mm, August: 340 mm, September: 160 mm.
(a) In which month was rainfall heaviest?
(b) What was the total seasonal rainfall recorded?
(c) What fraction of total rainfall fell in August?

On Monday, a school canteen sold: Samosas (75), Sandwiches (45), Fruit Juice packs (60), Biscuits (30).
(a) What was the ratio of Samosas sold to Biscuits sold?
(b) If each sandwich costs ₹20, find the total revenue from sandwiches.
(c) Which item contributed to exactly half the number of samosa sales?

Students reported their household pets: Dog (15), Cat (9), Fish (6), Bird (4), Rabbit (2).
(a) What is the 'mode' (most frequent observation) of this data set?
(b) How many more students have dogs than cats?
(c) How many total pets are owned?

Five friends track their weekly cycling distance: Kabir (24 km), Leo (32 km), Maya (18 km), Nina (28 km), Omar (30 km).
(a) Who cycled the greatest distance?
(b) What was the average cycling distance of the group?

A survey recorded daily hours spent watching TV by 50 students:
Less than 1 hour: 12 students
1 to 2 hours: 22 students
More than 2 hours: 16 students
(a) What percentage of students watch between 1 and 2 hours daily?
(b) What fraction of students watch more than 2 hours daily?

On a pictograph where 1 🚗 represents 25 cars:
(a) How many cars are represented by 6 symbols?
(b) How many symbols will represent 200 cars?
(c) How many cars are represented by 3.5 symbols?

A fleet of 4 school buses has capacities and current loads:
Bus 1: Capacity 50, Load 46
Bus 2: Capacity 40, Load 38
Bus 3: Capacity 50, Load 49
Bus 4: Capacity 60, Load 55
(a) What is the total carrying capacity of the fleet?
(b) How many total students are currently traveling?
(c) How many vacant seats are there across all 4 buses?

In a class of 28 students, all students play either Chess or Carrom or both. 18 students play Chess, and 16 students play Carrom. How many students play both Chess and Carrom?

A music academy has student enrollment: Guitar (32), Keyboard (28), Drums (16), Flute (24).
(a) What is the ratio of Flute students to Guitar students?
(b) Express the Drums enrollment as a percentage of total music students.

A coastal city recorded rainy days over 4 seasons: Monsoon (65 days), Winter (12 days), Summer (8 days), Post-Monsoon (15 days).
(a) What was the total number of rainy days in the year?
(b) What fraction of rainy days occurred during the Monsoon?

Identify the numeric value of each tally group:
(a) |||| |||| |||| |||
(b) |||| |||| |
(c) |||| |||| |||| ||||

State True or False with reasoning:
(a) A bar graph must always have equal spacing between its bars.
(b) The scale of a bar graph must always start from zero.
(c) A pictograph can only display whole numbers and cannot represent fractions.

A class conducted an energy conservation survey recording daily hours of classroom fan usage over 5 weekdays: Mon (6 h), Tue (5 h), Wed (7 h), Thu (4 h), Fri (6 h).
(a) Construct a frequency table and find total fan hours.
(b) If each ceiling fan consumes 0.08 kWh per hour, how many kWh of energy were used in total?
(c) At ₹6 per kWh, find the electricity cost for the week.