Download GSEB Solutions for Class 6 Mathematics Chapter 09 Data Handling
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Question 1. The total number of animals in the five villages are as follows: Village A: 80 Village B: 120 Village C: 90 Village D: 40 Village E: 60 Prepare a pictograph of these animals using one symbol to represent 10 animals and answer the following questions:
(a) How may symbols represent animals of village E?
(b) Which village has the maximum number of animals?
(c) Which village has more animals: village A or village C?
Answer: We have created the following pictograph using the given data. Here, one symbol represents 10 animals.
| Village | Number of animals (1 symbol = 10 animals) |
|---|---|
| Village A | \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) |
| Village B | \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) |
| Village C | \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) |
| Village D | \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) |
| Village E | \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) \( \otimes \) |
Answer:
(a) 6 symbols show the animals of village E.
(b) Village B has the highest count of animals.
(c) Village C contains more animals than village A.
In simple words: First, create a chart with symbols for each village, remembering that each symbol means 10 animals. Then, count the symbols for village E, find the village with the most symbols, and compare village A and C to see which has more.
Exam Tip: When making a pictograph, always include a clear key that explains what one symbol represents. This is crucial for accurate interpretation.
Question 2. The total number of students of a school in different years is shown in the following table
| Years | Number of students |
|---|---|
| 1996 | 400 |
| 1998 | 535 |
| 2000 | 472 |
| 2002 | 600 |
| 2004 | 623 |
A. Prepare a pictograph of students using one symbol \( \bigotimes \) to represent 100 students and answer the following questions:
(a) How many symbols represent the total number of students in the year 2002?
(b) How many symbols represent the total number of students for the year 1998?
B. Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?
Answer:
A. We have the following pictograph using \( \bigotimes \) = 100 students.
| Year | Number of students (1 symbol = 100 students) |
|---|---|
| 1996 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) |
| 1998 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( q \) |
| 2000 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( q \) |
| 2002 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) |
| 2004 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( q \) |
(a) In the year 2002, a total count of students is shown by 6 symbols.
(b) For the year 1998, 5 symbols represent the full hundreds, and one partial symbol is needed for the remaining 35 students.
B. By setting 1 symbol = 50, we create another pictograph as shown below:
| Year | Number of students (1 symbol = 50 students) |
|---|---|
| 1996 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) |
| 1998 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( q \) |
| 2000 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( q \) |
| 2002 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) |
| 2004 | \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( \bigotimes \) \( q \) |
Clearly, the second pictograph gives more information.
In simple words: For the first part, make a chart where one symbol stands for 100 students. Then, count how many symbols are needed for 2002 and 1998. For the second part, make another chart where one symbol means 50 students. Compare both charts to decide which one is easier to understand and gives a clearer picture.
Exam Tip: When choosing a scale for a pictograph, select one that allows for clear representation without too many symbols, but also shows differences well. Smaller units often provide more detail.
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Free GSEB Textbook Explanations: Class 6 Mathematics Chapter 09 Data Handling
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The complete and updated GSEB Class 6 Maths Solutions Chapter 9 Data Handling Exercise 9.2 is available for free on StudiesToday.com. These solutions for Class 6 Mathematics are as per latest GSEB curriculum.
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