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By Swati Singh
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Updated on 11 Jun 2025, 18:04 IST
RD Sharma Class 9 Chapter 22 Solutions – Tabular Representation of Statistical Data offers detailed answers to every question in the textbook, crafted by experienced math educators at Infinity Learn. You can download the free PDF of Chapter 22 solutions to strengthen your preparation for board exams and enhance your performance in competitive tests.
Here are the RD Sharma Solutions Class 9 Maths Chapter 25 Tabular Representation of Statistical Data Solutions, designed to help students prepare effectively for their exams. By referring to these solutions and practicing the problems, students can boost their confidence and improve their scores.
1. What is a frequency table?
Answer: A frequency table shows how many times each value appears in a set of data.
2. Why do we use tables in statistics?
Answer: Tables help to organize and understand data easily.
3. What does "observation" mean in a table?
Answer: An observation is each number or item in the data set.
4. How do you find the total from a table?
Answer: Add all the frequencies (number of times each item appears).
5. What is the frequency of a number that appears 5 times?
Answer: The frequency is 5.
6. Create a table for these numbers: 2, 2, 3, 4, 3, 3
Answer:
| Number | Frequency |
| 2 | 2 |
| 3 | 3 |
| 4 | 1 |
7. Which number is most frequent: 4, 5, 4, 6, 4, 7?
Answer: 4 is the most frequent number. It appears 3 times.
8. How do you read a data table?
Answer: Look at the rows and columns to see what each number tells you.
9. Arrange 10, 5, 8, 2, 9 in order.
Answer: 2, 5, 8, 9, 10
10. What is the total frequency if the values are 3, 4, 2, 1?
Answer: Total = 3 + 4 + 2 + 1 = 10
11. How can you show marks of 5 students in a table?
Answer:
| Student | Marks |
| A | 45 |
| B | 50 |
| C | 40 |
| D | 60 |
| E | 55 |
12. What is the average of 5, 10, 15?
Answer: (5 + 10 + 15) ÷ 3 = 10
13. What do we call the number that appears the most?
Answer: It is called the mode.
14. Can a table help us compare data?
Answer: Yes, tables make comparison easy and quick.
15. Why is a title important in a data table?
Answer: A title tells us what the data is about.
16. What is the first step in making a frequency table?
Answer: List all the unique values from the data set.
17. How many times does 6 appear in the list: 4, 6, 6, 3, 6, 2?
Answer: 6 appears 3 times.
18. What does a row represent in a data table?
Answer: A row usually shows one item and its details like frequency.
19. What does a column show in a data table?
Answer: A column shows a type of information, like values or frequency.
20. What is the mode of this data: 1, 2, 2, 3, 4?
Answer: The mode is 2 (it appears the most).
21. What is a tally mark?
Answer: A tally mark is a line used to count or record data. Every fifth line is drawn across the first four.
22. What does grouped data mean?
Answer: Grouped data means the values are put into ranges or intervals.
23. What is ungrouped data?
Answer: Ungrouped data is raw data, not arranged in intervals.
24. What is the frequency of the number 9 in this list: 9, 2, 9, 3, 4, 9, 5?
Answer: Frequency of 9 is 3.
25. Can two values have the same frequency?
Answer: Yes, it is possible for two or more values to appear the same number of times.
26. Find the average of 12, 18, 24, 30.
Answer: (12 + 18 + 24 + 30) ÷ 4 = 21
27. What is the purpose of drawing a table in statistics?
Answer: To make the data easy to read, understand, and analyze.
28. How can we find the total number of items in a frequency table?
Answer: Add all the frequencies.
29. What is the smallest value in this list: 7, 5, 9, 4, 6?
Answer: 4 is the smallest.
30. What is the highest value in this list: 3, 11, 6, 2, 8?
Answer: 11 is the highest.
31. What do you mean by data in statistics?
Answer: Data means information collected as numbers or facts.
32. What are the two main types of data?
Answer: Grouped data and Ungrouped data.
33. If you have marks: 45, 50, 55, 60, what is the average?
Answer: (45 + 50 + 55 + 60) ÷ 4 = 52.5
34. How do you write frequencies in tally marks?
Answer: Use 4 vertical lines and a diagonal line across for every five counts.
35. Why is tabular representation useful in real life?
Answer: It helps us understand survey results, sales data, student performance, etc.
A data table is a way of arranging numbers or information in rows and columns to make it easy to read and understand.
Frequency tells us how many times a particular number or item appears in the data.
Tables help us organize large amounts of data so we can see patterns, compare numbers, and find results easily.
A frequency table lists different values of data along with how many times each value appears.
Tally marks are lines used to count items quickly. Every fifth line is drawn across the first four to show a group of five.
Grouped data is sorted into intervals or ranges (like 0–10, 11–20).
Ungrouped data lists each value individually without grouping.
The main purpose is to make the data easy to read, analyze, and compare.
Add all the frequencies together to get the total number of observations.
Mode is the number that appears most often in a set of data.
It helps to summarize and display information clearly, which saves time and helps in decision-making.