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Worksheet Solutions: Data Handling and Presentation - 1

Multiple Choice Questions (MCQs)

Q1: Why do we collect data?
(a) 
For fun only
(b) To record facts and numbers
(c) Cooking
(d) None of the above
Ans: (b) To record facts and numbersMultiple Choice Questions (MCQs)

Q2: Which of these shows information using pictures?
(a) 
Pictograph
(b) List
(c) Paragraph
(d) All of the above
Ans: (a) Pictograph

Q3: What does a bar graph represent?
(a)
Numbers and values
(b) Stories
(c) Long answers
(d) None of the above
Ans: (a) Numerical values

Q4: In a pictograph, each picture can represent:
(a) 
One item only
(b) Multiple items
(c) Only data points
(d) None of the above
Ans: (b) Multiple itemsMultiple Choice Questions (MCQs)

Q5: Why are infographics used?
(a) 
To make people confused
(b) To show information in an easy and interesting way
(c) To give very long explanations
(d) None of the above
Ans: (b) To show information in an easy and interesting way

Fill in the Blanks

Q1: Navya collected data on her classmates' favorite fruits. She found that 8 students liked apples, 12 liked bananas, and 5 liked oranges. The total number of students she surveyed is _______.
Ans: 25
Solution: The total number is found by adding the number of students who liked each fruit: 8 + 12 + 5 = 25.

Q2: A pictograph uses 1 symbol to represent 5 students. If 4 symbols are used to show the number of students who like chocolate, then _______ students like chocolate.
Ans: 20
Solution: Multiply the number of symbols (4) by the number each symbol represents (5): 4 × 5 = 20.Fill in the Blanks
Q3: In a bar graph, the bar representing the number of students absent in Class 5 is twice the height of the bar for Class 3. If Class 3 had 4 students absent, then Class 5 had _______ students absent.
Ans: 8
Solution: Since the bar for Class 5 is twice as high, multiply the number of absent students in Class 3 by 2: 4 × 2 = 8.

Q4: If each tally mark represents 1 vote and 15 tally marks are recorded for a favorite game survey, then the total number of votes is _______.
Ans: 15
Solution: Each tally mark equals one vote, so the total number of votes equals the number of tally marks.

Q5: The number of symbols in a pictograph must be multiplied by _______ to find the total if each symbol represents more than one unit.
Ans: the scale
Solution: Multiply the number of symbols by the scale to find the total number of units represented.

True or False

Q1: A bar graph can only have vertical bars.
Ans: False
Solution: Bar graphs can have either vertical or horizontal bars, depending on what is being represented.True or False
Q2: In a pictograph, one symbol can represent multiple units.
Ans: True
Solution: A scale in a pictograph allows one symbol to represent multiple units, making it easier to manage larger data.

Q3: The height of a bar in a bar graph does not need to correspond to the frequency it represents.
Ans: False
Solution: The height of a bar in a bar graph must correspond to the frequency to accurately represent the data.

Q4: A pictograph is useful for representing large amounts of data.
Ans: False
Solution: While pictographs are visually appealing, they are not always practical for representing large datasets.

Q5: The scale in a pictograph does not need to be mentioned.
Ans: False
Solution: The scale must be mentioned in a pictograph to clearly show what each symbol represents.

Solve the following 

Q1: Study the following tally marks frequency table and answer the questions given below:Solve the following 

(i) How many students score 10 marks?

(ii) How many students scored above 10?

(iii) How many total students appeared on the test?

Solution: 

(i) Number of students scored 10 marks = 10

(ii) Number of students scored above 10 marks = 17

(iii) Total number of students who appeared for the test = 27

Q2: Following are the scores of students of class 3 in a maths test:

12, 12, 14, 15, 16, 18, 13, 15, 16, 17, 18, 13, 16, 20, 20, 19, 17, 15, 12, 15, 16, 17, 18, 18, 19, 20, 16. 19.

Make a tally marks table.

Solution: Solve the following 

Q3: Tim recorded the number of donuts sold over five days.
Read the chart and answer the questions.

Solve the following 

  1. How many donuts did he sell on Thursday?
  2. Which day did he sell the least donuts?
  3. Which day did he sell the most donuts?
  4. Which day did he sell 20 donuts?

Solution: 

  1. Donuts sold on Thursday = 5 x 5 = 25 donuts 
  2. least donuts were sold on Wednesday 
  3. most donuts were sold on Friday
  4. Tuesday
The document Worksheet Solutions: Data Handling and Presentation - 1 is a part of the Class 6 Course Mathematics for Class 6.
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FAQs on Worksheet Solutions: Data Handling and Presentation - 1

1. How do I organize raw data into a frequency table for Class 6 CBSE?
Ans. A frequency table organizes data by listing each value and counting how many times it appears. Write the data values in one column and tally marks or counts in another to show frequency distribution. This method makes it easy to identify which values occur most often and spot patterns in datasets.
2. What's the difference between a bar graph and a pictograph when presenting data?
Ans. Bar graphs use rectangular bars of varying heights to represent data values, while pictographs use symbols or pictures where each symbol represents a fixed quantity. Both display categorical or grouped data visually, but pictographs are more engaging for younger learners, whereas bar graphs allow precise value reading on axes.
3. Why do we need to represent data in different ways instead of just using tables?
Ans. Visual representations like charts and graphs make data interpretation faster and easier than raw tables. Graphs highlight trends, comparisons, and outliers at a glance, helping students draw conclusions quickly. Different formats suit different purposes-bar charts for comparisons, line graphs for trends, and pictographs for simple frequency representation.
4. How do I read and interpret information from a pie chart or circle graph correctly?
Ans. A pie chart divides a circle into sections where each slice represents a proportion of the total data. The larger the slice, the greater that category's share. To interpret it, compare slice sizes to understand which categories dominate and estimate percentages by observing how much space each section occupies relative to the whole circle.
5. What common mistakes do students make when creating bar graphs and how do I avoid them?
Ans. Common errors include unequal spacing between bars, missing axis labels, inconsistent scales, and unclear titles. Avoid these by maintaining uniform bar widths, labelling both axes clearly with units, using consistent intervals on the y-axis, and writing descriptive titles. Refer to worksheets and visual examples on EduRev to practice accurate graph construction techniques.
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