RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions primarily covers the statistical details and the concepts of distribution of frequency. For those uninitiated, Frequency Distribution is an approach to providing data in an easy-to-understand way. There are two types of Frequency Distribution called Discrete Frequency Distribution and Continuous or Grouped Frequency Distribution. Exercise 22.1 is concerned under Chapter 22- Tabular Representation of Statistical Data.
The attached PDF will help students practice the problem based on the Statistics Data, Presentation of Data, Frequency Distribution, etc. The RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions PDF is prepared by our subject experts, which helps students score well in the exam with the solutions given in an easy method.
Learn about RD Sharma Class 9 Chapter 22 (Tabular Representation of Statistical Data)
Download RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions PDF
Solutions for Class 9 Maths Chapter 22 Tabular Representation of Statistical Data Exercise 22.1
Important Definition RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions
Here are the following topics on which the RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions are based on-
- Statistics data
-Primary data
-Secondary data
- Presentation of data
- Frequency distribution
-Discrete frequency distribution
– Continuous or grouped frequency distribution
- Construction of a Discrete frequency distribution
- Construction of a continuous or grouped frequency distribution
Statistics data
Data are a distinct set of facts or information kept or utilized for analytic purposes. Based on data, statistics is developed. In short, statistical data is the outcome of analyzing the raw data.
Frequency distribution
The frequency distribution is an overall analysis of the entire set of individual values in certain variables and the number of times it appears. It is primarily meant for the summarization of variables of different categories.
Presentation of data
It can be understood as presenting data in the desired format.
Construction of a Discrete frequency distribution
Discrete data are prepared upon counting exactly every single observation. The number of times the repetition of observation occurs is the frequency of the observation.
Construction of a continuous or grouped frequency distribution
The continuous frequency distribution is the mode of value arrangement upon taking one or multiple variables. The grouped frequency distribution is represented in graphical format through Histograms.
Give Meaning of the following terms-
(a) Frequency
(b) Class-interval
(c) Class-size
(d) Class-mark
(e) Variate
(f) Class limits
(g)True class limits
Answers-
(a) Frequency- The no of observations corresponding to the class.
(b) Class-interval- In the data of every group in which raw data is concerned.
(c) Class-size- The difference between the upper limit and the lower limit.
(d) Class-mark- The middle value of the chosen class.
It can be calculated as-
Class-mark = (Upper limit + Lower limit) /2
(e) Variate- Any number that can vary from one person to another.
(f) Class limits- Each class is bounded by 2 figures, named the class limits. The figure on the right side is called the upper limit, while the figure on the left side of the class is named the lower limit.
(g)True class limits-
If classes are inclusive, for example, 5-9, 10-14, 15-19, and so on.
Then, the true lower limit of class=Lower limit of class – 0.5
And, the true upper limit of class=Upper limit of class + 0.5
In this case, the True limits of the class are 5-9 are 4.5 and 9.5
If classes are exclusive, like 20-30, 30-40, 40-50, and so on, class limits and true class limits are the same.
Examples of RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions
Ques- The ages of ten students in a group are given below. The ages have been recorded in years and months-
8 – 6, 9 – 0, 8 – 4, 9 – 3, 7 – 8, 8 – 11, 8 – 7, 9 – 2, 7 – 10, 8 – 8
(a) What is the highest age?
(b) What is the lowest age?
(c) Determine the range?
Solution-
The ages of ten students in a group are-
8 – 6, 9 – 0, 8 – 4, 9 – 3, 7 – 8, 8 – 11, 8 – 7, 9 – 2, 7 – 10, 8 – 8.
(a) Highest age = 9 years 3 months
(b) Lowest age = 7 years 8 months
(c) Range = Highest age – Lowest age
= (9 years 3 months) – (7 years 8 months)
= 1 year 7 months
Frequently Asked Questions (FAQs) of RD Sharma Chapter 22 Class 9 Maths Exercise 22.1 Solutions
Ques- What is the importance of presenting the data in graphical or tabular representation?
Ans- A table helps represent even large numbers of data in an attractive, simple to read, and systematic manner. The data is managed in rows and columns. This is one of the most widely used data presentation methods since data tables are simple to construct and understand.
Ques- What is the tabular method in statistics?
Ans- The most commonly used tabular report of data for a single variable is a frequency distribution. A frequency distribution presents the number of data values in any of several non-overlapping classes.