Data Handling and Presentation — Mastery

Q1. Which of the following is an example of data?

• A. the recorded weights of all students in a class
• B. the multiplication table of 7
• C. the name of the school
• D. a circle drawn on the board

Q2. A teacher wants to find the most popular colour in her Class 6 of 40 students. Which step is most efficient?

• A. ask each student in turn and keep a tally for each colour as she goes
• B. ask only the first five students and assume the rest are the same
• C. guess the answer without asking, since she knows the children
• D. consult the school colour chart in the office

Q3. Why are tally marks grouped in fives (卌) rather than in fours or tens?

• A. because there are five fingers on a hand and groups of five are quick to count
• B. because five is a special prime number
• C. because four lines look like a square
• D. because the syllabus says so

Q4. From the ordered shoe-size list 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, the number of students who wear a shoe size larger than 4 is

• A. 8
• B. 12
• C. 15
• D. 23

Q5. Travel pictograph (☺=1): Car 4, Public bus 5, School bus 11, Cycle 3, Walking 7. Consider: I. Total surveyed = 30. II. Buses (5+11) used more than Car+Cycle. III. Walking is second most common. Which are correct?

• A. I and II only
• B. II and III only
• C. I and III only
• D. All three

Q6. Jarina wants to make a pictograph for the numbers 30, 35, 20, 25, 30, 25, 30, 20. She decides one symbol stands for 5 students. The number of full symbols she will draw for the class with 35 students is

• A. 3
• B. 5
• C. 7
• D. 35

Q7. Sangita decides one full smiley = 10 students. For 25 students she will use

• A. 2 full smileys and 1 half-smiley
• B. 25 full smileys
• C. 2 full smileys only
• D. 3 full smileys

Q8. Which is the best way to visually represent the heights of the tallest mountains on the seven continents?

• A. a pie chart with seven slices
• B. a pictograph with one symbol per metre
• C. a column graph (vertical bars) of equal width
• D. a single horizontal bar with seven colour bands

Q9. When drawing a bar graph from a frequency table, the correct order of steps is

• A. draw bars first, then choose scale, then label axes
• B. label categories on horizontal axis, choose scale on vertical axis, then draw bars of correct height
• C. compute heights, then label axes, then draw the table
• D. draw bars of equal height, then mark frequencies on top

Q10. Smriti's runs in Match 4 are 100 and the scale is 1 unit length = 10 runs. The height of the bar for Match 4 is

• A. 1 unit
• B. 10 units
• C. 100 units
• D. 1000 units

Q11. Pointing out the equally-spaced horizontal lines on a bar graph matters because

• A. it makes the graph look neater on the page
• B. it shows that each pair of consecutive numbers on the scale has the same gap, so heights can be compared fairly
• C. students should learn to draw straight lines
• D. it saves space on the chart paper

Q12. A bar graph shows India's population (in crore) every decade: 1951→36, 1961→44, 1971→54, 1981→68, 1991→84, 2001→102. The increase from 1951 to 2001 was approximately

• A. 36 crore
• B. 66 crore
• C. 100 crore
• D. 138 crore

Q13. A teacher introducing tally marks to Class 6 wonders whether to allow students to write just numbers instead of crossed-five groups. The strongest reason to keep tally marks is

• A. tally marks look more colourful on the board
• B. tally marks let a student add to the count one entry at a time without erasing or re-counting, which numbers do not
• C. tally marks are part of the chapter title
• D. numbers cannot show frequencies above 9

Q14. Why should bars in a bar graph have the same width and equal gaps between them?

• A. so that only the heights — which represent the data — vary, allowing a fair comparison
• B. so that the graph fills the page completely
• C. so that students enjoy colouring them
• D. so that the bars touch each other

Q15. Nand Kishor's pictograph (▲ = 10 children) shows: Always 5 triangles, Sometimes 2 triangles + 1 half, Never 4 triangles. Total children surveyed is

• A. 11
• B. 55
• C. 115
• D. 150

Q16. Navya wants to find the most popular game in her class. The most reliable approach is to

• A. guess from who she sees playing most often
• B. ask three friends and decide
• C. go to each classmate and ask, then count the responses
• D. ask the games teacher to decide

Q17. Magan Bhai's kite sales (key '◇ = 100 kites'): Chaman 250, Rani 300, Rukhsana 100, Jasmeet 450, Jetha Lal 250, Poonam Ben 700. Poonam Ben's symbols are how many more than Rani's?

• A. 1
• B. 3
• C. 4
• D. 7

Q18. On a column graph of the seven tallest mountains, Mount Everest (Asia) is 8848 m and Mount Koscuiszko (Australia) is 2228 m. Everest is taller than Koscuiszko by approximately

• A. 2228 m
• B. 6620 m
• C. 8848 m
• D. 11076 m

Q19. An infographic shows Mt Elbrus (5642 m) as one triangle and another mountain that looks twice as tall as Elbrus. To honestly represent twice Elbrus's height, the other mountain would need to be

• A. 5642 m
• B. 8463 m
• C. 11284 m
• D. 16926 m

Q20. On the Delhi traffic bar graph, time intervals (6–7, 7–8, ...) are on the vertical axis and the number of vehicles on the horizontal axis. This makes the bars

• A. vertical and short
• B. vertical and tall
• C. horizontal
• D. diagonal

Q21. Discussing different ways to organise data with their advantages and limitations is suggested. The strongest classroom benefit of this discussion is that students

• A. learn one fixed correct method to follow forever
• B. see that the choice between a frequency table, pictograph and bar graph depends on the data and the question, and choose wisely themselves
• C. memorise the chapter summary faster
• D. feel that mathematics is the same as art

Q22. Statements about choosing the scale on a bar graph: I. The scale should make the tallest bar fit on the page neatly. II. The same scale must apply to every bar in the graph. III. The scale markings on the value axis must start from zero. Which are correct?

• A. I and II only
• B. II and III only
• C. I and III only
• D. All three

Q23. Chinu lists transport across his road in an hour: bike appears 13 times, car 6 times, bicycle 8 times, auto rickshaw 8 times, scooter 9 times, bus 4 times, bullock cart 2 times. The means of transport used most is

• A. car
• B. auto rickshaw
• C. scooter
• D. bike

Q24. On the Delhi traffic bar graph (6 a.m.–12 noon), the bar for 7–8 a.m. is the longest at 1200 vehicles and the bar for 6–7 a.m. is the shortest at 150 vehicles. How many more vehicles passed in 7–8 a.m. than in 6–7 a.m.?

• A. 150
• B. 600
• C. 1050
• D. 1200

Q25. On a pictograph (👧 = 4 girls), Class 8 has 2 full symbols. If two more girls are admitted in Class 8, the picture should change to

• A. 2 full symbols (no change needed)
• B. 2 full symbols and 1 half-symbol
• C. 3 full symbols
• D. 4 full symbols

Q26. A class of 30 students surveys the number of trees on each street, getting counts up to 60. Which scale will give the neatest bar graph on an A4 sheet?

• A. 1 unit length = 1 tree
• B. 1 unit length = 5 trees
• C. 1 unit length = 60 trees
• D. no scale at all

Q27. Mayank says, 'To find the total wickets Bumrah took in 30 matches, just add 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28'. Is he right?

• A. Yes, the sum of wicket values gives the total wickets
• B. Yes, because each value occurs once
• C. No, each wicket value must be multiplied by the number of matches in which it occurred, then summed
• D. No, the total cannot be found from this table

Q28. Statements about column graphs: I. A column graph is just a bar graph drawn with vertical bars. II. Column graphs are well-suited to representing heights, like mountain heights. III. The bars in a column graph need not have the same width. Which are correct?

• A. I and II only
• B. II and III only
• C. I and III only
• D. All three

Q29. Why is it suggested to first ask students to guess the answer (most popular colour, game, etc.) and only then collect the data?

• A. because guessing is faster than collecting
• B. because the guess turns the activity into a meaningful inquiry — students want to see whether their guess matches the data
• C. because the textbook does not provide actual data
• D. because the syllabus requires guessing

Q30. On the tigers-in-India bar graph (2006 → 1400, 2010 → 1700, 2014 → 2200, 2018 → 3000, 2022 → 3700), the increase from 2018 to 2022 is approximately

• A. 300
• B. 500
• C. 700
• D. 800