RS Aggarwal Class 9 Solutions Chapter-16 Presentation of Data in Tabular Form

Statistics is a discipline that is concerned with data collection, representation, analysis, organization, interpretation in a graphical format. It can be stated as a sub-branch of mathematics or science. The concept of statistics can be applied in different fields like industrial, economical, commercial, scientific, and social fields. 

The primary characteristics of statistics explained in RS Aggarwal Class 9 Maths Ch 16 is:

• The aggregate of numerical facts constitutes statistical data. 

• The statistical data are collected for a specific motive and may be used for other things. 

• All the statistical data and facts are collected in an organised way. 

• Different statistical data are subjected to comparison. 

• The representation of the statistical data has to be in numerical form. 

Explain the Following Statistical Term Mentioned in RS Aggarwal Class 9 Maths Ch 

Here is the definition of the following statistical terms explained in Class 9 Maths Chapter 16. taking any value in a given set depending upon probability distribution.

Class Interval - In a particular number distribution any numerical breadth of a class is termed as a class interval. Typically, class intervals are almost equal in breadth, but it may not be the same in every case. 

Class Size - Class size denotes the average number of items in a specified class. It is calculated by dividing the total sum of items in a class divided by the total number of items in a class. 

Class Mark - The classmark represents the midpoint of any class interval. It is computed by the average of the upper limit and lower limit in a given class interval. 

Class Limit - There are mainly two class limits is a class. The lower class limit in a class is the smallest value of data present in a class. The upper-class limit in a class is the highest value of data present in a class. 

True Class Limit - The true limit is obtained in frequency distribution format. In an inclusive class distribution, the upper limit of the preceding class is similar to the lower limit of the succeeding class. 

In an exclusive class distribution, the upper limit of the preceding class is different from the lower limit of the succeeding class. 

For example, 12-15, 16-19, 20-23, 24-27…

The true lower limit of class 12-15- is (-0.5)

The true upper limit of class 12-15- is (+0.5)

The true limit of class 12-15 is 11.5 and 15.5

Frequency of a Class- The frequency of a class represents the number of observation in each class. For example, if 8 people from the age group 10-15 are observed in statistical data, the frequency of class 10-15 interval is 8. 

Cumulative Frequency of a Class- In a frequency distribution table, when each frequency is added to the sum total of its predecessor frequencies, it is known as the cumulative frequency of a class. 

Exercise Questions in RS Aggarwal Solutions Class 9 Chapter 16

Question 1:

Range of Data

13, 45, 68, 96, 34, 65, 23, 33, 75, 8, 12

Sol: Range = Maximum Value- Minimum Valu

96-8

88. 

Question 2:

Sol: The class mark of the class is 150-220

Class Mark = Upper Limit (U.L) + Lower Limit (L.L)/ 2

Class Mark = 220+150/ 2

Class Mark = 370/ 2

ClassMark = 185

Did You Know?

The idea about the numbers originated in middle east Asia. For counting the money, they used check prints, while for houses they used clothes. All these used to be spread across the tables for the counting process. This eventually gave rise to the concept of a tabular representation of data. 

Benefits of RS Aggarwal Solutions

The uses of solutions for class 9 Maths are manifold. These solutions help students in their studies and this is how:

• They enable the students to waste much time when they are confused and stuck on a problem.

• They enable the students to understand their follies and pay attention to their mistakes.

• These solutions are explained step-wise, thus helping the students to get an idea of the whole problem and its answer.

• Solutions provide an in-depth understanding of the concepts and their meanings.

• Going through the solutions during revisions can also be beneficial since they can help to make the ideas clear just before the exams.