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CBSE · Class 6 · Mathematics

Data Handling quiz

Q01
MCQ

The number of times an observation occurs in data is called its:

(a) tally
(b) scale
(c) frequency
(d) key (1 mark)
Q02
MCQ

In tally marks, a group of five is shown as:

(a) five separate strokes
(b) four strokes crossed by a fifth stroke
(c) three strokes and a cross
(d) a circle (1 mark)
Q03
MCQ

In a pictograph, one symbol represents 5 students. Six symbols represent:

(a) 11 students
(b) 25 students
(c) 30 students
(d) 35 students (1 mark)
Q04
MCQ

In a bar graph, the bars should have:

(a) different widths
(b) uniform width and equal spacing
(c) different colours only
(d) no spacing (1 mark)
Q05
MCQ

If 1 cm represents 20 students, a bar of 4.5 cm represents:

(a) 80 students
(b) 85 students
(c) 90 students
(d) 100 students (1 mark)
Q06
MCQ

The tally marks with three complete groups of five and two extra strokes stand for:

(a) 15
(b) 17
(c) 13
(d) 32 (1 mark)
Q07
MCQ

A pictograph uses:

(a) bars
(b) pictures or symbols
(c) only numbers
(d) lines joining points (1 mark)
Q08
MCQ

In a pictograph with key 1 symbol = 10 trees, half a symbol represents:

(a) 2 trees
(b) 10 trees
(c) 5 trees
(d) 20 trees (1 mark)
Q09
MCQ

A suitable scale for drawing a bar graph of values 150, 300, 250 and 400 is:

(a) 1 unit = 1
(b) 1 unit = 2
(c) 1 unit = 5
(d) 1 unit = 50 (1 mark)
Q10
MCQ

Which of the following is the best way to collect data on the favourite sports of your classmates?

(a) Guessing
(b) Asking each student and recording the answer
(c) Asking only one student
(d) Reading a newspaper (1 mark)
Q11
Short

Why do we cross every four tally strokes with a fifth one? (2 marks)

Q12
Short

Represent the following frequencies using tally marks: (i) 9 (ii) 16. (2 marks)

Q13
Short

State two disadvantages of a pictograph when the numbers are large. (2 marks)

Q14
Short

What is the purpose of choosing a scale before drawing a bar graph? (2 marks)

Q15
Short

In a pictograph, one symbol of a book stands for 20 books. How would you show 70 books and 110 books? (2 marks)

Q16
Short

Give two differences between a pictograph and a bar graph. (2 marks)

Q17
Short

Arrange the data 7, 3, 5, 3, 7, 7, 2, 5 in a frequency table. (2 marks)

Q18
Short

Can a bar graph be drawn horizontally? What is placed on each axis in a horizontal bar graph? (2 marks)

Q19
Short

In a bar graph, the bar for Class VII is twice as tall as that for Class VIII, which represents 35 students. How many students are in Class VII? (2 marks)

Q20
Short

Why is it important to give a title to a graph? (2 marks)

Q21
Numerical

The number of bicycles produced by a factory in five days is: Monday 120, Tuesday 150, Wednesday 90, Thursday 180, Friday 135. Using 1 symbol = 30 bicycles, find the number of symbols needed for each day. (3 marks)

Q22
Numerical

The ages (in years) of 15 children are: 8, 9, 10, 9, 8, 11, 10, 9, 8, 9, 10, 11, 9, 8, 9. Make a frequency table with tally marks and find how many children are older than 9 years. (3 marks)

Q23
Numerical

A bar graph shows the number of students in different sections: VI A 40, VI B 35, VI C 45, VI D 30. Using a scale of 1 unit = 5 students, find the length of each bar and the total number of students. (3 marks)

Q24
Numerical

A pictograph of apples sold by a fruit seller uses 1 symbol = 50 apples: Day 1 has 3 symbols, Day 2 has 4.5 symbols, Day 3 has 2 symbols. Find the total apples sold and the difference between the largest and smallest sales. (3 marks)

Q25
Numerical

In a survey of 40 families, the number of family members was recorded: 2 members 4 families, 3 members 10 families, 4 members 16 families, 5 members 6 families, and the rest had 6 members. (i) How many families had 6 members? (ii) Which family size is most common? (iii) How many families have more than 3 members? (3 marks)

Q26
Case

Read the passage and answer the questions. A school canteen recorded the number of sandwiches sold during a week: Monday 60, Tuesday 45, Wednesday 75, Thursday 30, Friday 90. The canteen manager wants to show this information on the notice board using a pictograph where one sandwich symbol = 15 sandwiches. (i) How many symbols will represent Monday and Friday? (ii) On which day were the fewest sandwiches sold? (iii) Find the total number of sandwiches sold in the week. (5 marks)

Q27
Case

Read the passage and answer the questions. The eco-club of a school recorded the number of plastic bottles collected for recycling by five classes: VI 85, VII 120, VIII 65, IX 140, X 90. They decided to draw a bar graph with the scale 1 unit = 10 bottles. (i) What will be the length of the bar for Class VII? (ii) Which class collected the most bottles and which the least? (iii) How many more bottles did Class IX collect than Class VIII? (5 marks)

Q28
Case

Read the passage and answer the questions. Rahul asked 25 classmates about their favourite subject and wrote: M, S, E, M, H, S, M, E, M, S, H, M, E, S, M, H, M, S, E, M, S, M, H, E, M where M is Mathematics, S is Science, E is English and H is Hindi. (i) Prepare a frequency table using tally marks. (ii) Which subject is the most popular? (iii) How many more students like Mathematics than English? (5 marks)

Q29
Case

Read the passage and answer the questions. A bar graph in a newspaper showed the rainfall in a town for five months: June 150 mm, July 300 mm, August 250 mm, September 100 mm and October 50 mm. The scale used was 1 cm = 50 mm. (i) What was the length of the bar for July? (ii) Which month had the least rainfall? (iii) Find the total rainfall from June to October. (5 marks)

Q30
Case

Read the passage and answer the questions. A library displayed a pictograph of books borrowed in a week, with one book symbol = 8 books. Monday showed 5 symbols, Tuesday 3 symbols, Wednesday 6 symbols, Thursday 2.5 symbols and Friday 4 symbols. (i) How many books were borrowed on Wednesday and on Thursday? (ii) Find the total number of books borrowed. (iii) If the library wants to show 52 books on Saturday, how many symbols are needed? (5 marks)

Q31
Long/Diagram

The number of mangoes sold by a fruit seller in a week is: Monday 450, Tuesday 600, Wednesday 300, Thursday 750, Friday 550, Saturday 650. Choose a suitable scale and draw a bar graph. From your graph, state the day with the highest sale, the day with the lowest sale and the difference between them. (6 marks)

Q32
Long/Diagram

Draw a pictograph showing the number of tractors in five villages: Village A 18, Village B 12, Village C 24, Village D 6, Village E 15. Use one tractor symbol = 3 tractors. Give a key and answer: which village has the most tractors, and how many tractors are there altogether? (6 marks)

Q33
Long/Diagram

The marks obtained by 30 students out of 5 in a quiz are: 3, 4, 5, 2, 3, 4, 4, 5, 1, 3, 2, 4, 5, 3, 3, 4, 2, 1, 5, 4, 3, 3, 4, 2, 5, 4, 3, 0, 4, 4. Prepare a frequency table with tally marks, draw a bar graph of the frequencies, and state the mark scored by the most students. (6 marks)

Q34
Long/Diagram

Explain the steps for drawing a bar graph, including choosing axes, scale, bar width and spacing. Draw a bar graph for the population of a town in five years: 2001 12,000, 2006 15,000, 2011 18,000, 2016 21,000, 2021 25,000, using 1 unit = 2000 people, and describe the trend you see. (6 marks)

Q35
Long/Diagram

A survey of 120 students' favourite games gave: cricket 45, football 30, hockey 15, badminton 20, kho-kho 10. Represent this data both as a pictograph with one symbol = 5 students and as a bar graph. Compare the two representations and state which is better for this data and why. (6 marks)

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