RD Sharma Chapter 24 Class 9 Maths Exercise 24.4 Solutions have been provided to understand the students better. The exercise set comprises the questions and their answers concerning the Concept of Measure of Central Tendency. At the same time providing solutions for the questions, the exercise can be useful in strengthening the fundamentals of the students as well. Primarily, it teaches the students about the modes of uses and characteristics of mode and media.
In the case of fairly symmetric distribution, mean, median, and mode are joined through the formula called: Mode = 3 Median – 2 Mean.
Learn about RD Sharma Class 9 Chapter 24 (Measure of Central Tendency)
Download RD Sharma Chapter 24 Class 9 Maths Exercise 24.4 Solutions PDF
Solutions for Class 9 Maths Chapter 24 Measure of Central Tendency Exercise 24.4
What are the concepts of RD Sharma Chapter 24 Class 9 Maths Exercise 24.4 Solutions Measures of Central Tendency?
Before referring to the RD Sharma Chapter 24 Class 9 Maths Exercise 24.4 Solutions Measures of Central Tendency, the first thing that one needs to have clarity about is regarding the use of Median. A practitioner needs to have clarity about the characteristic of Media. They should be very confident about the concepts of Mode or should have practiced the topics based on the same. At the same time, they should cover the topics of Uses of Mode and the Properties of Mode.
Important Definitions RD Sharma Chapter 24 Class 9 Maths Exercise 24.4 Solutions
Uses of Median
The use of median is primarily meant for determining the average or mean. However, it is not the same as of real mean.
Properties of Median
The median of a triangle primarily refers to the line that joins the vertex with the middle point of the other side, hence dividing the side. When it comes to isosceles and equilateral triangles, the median does bisection of the angle at a vertex, both the adjacent sides of which are of the same length.
Mode
The mode is the worth that comes up more rigorously within the data set. One set of data might have a single mode, multiple modes, no mode.
Uses of Mode
The mode can be used for categorical, ordinal, and discrete data.
Properties of Mode
- Despite mode is the most effective way to measure central tendency, but it remains undefined on certain occasions.
- The mode has no mathematical characteristic.
- The mode has to get affected upon sampling the variations.
Examples of RD Sharma Chapter 24 Class 9 Maths Exercise 24.4 Solutions
Ques- Find out the mode of the below marks scored by 15 students in a class-
Marks- 4 , 6 , 5 , 7 , 9 , 8 , 10 , 4 , 7 , 6 , 5 , 9 , 8 , 7 , 7.
Solution-
The mode is the value that occurs most frequently in a set of data.
The frequency of a given set of observations are-
|
Marks |
Number of Students |
|
4 |
2 |
|
5 |
2 |
|
6 |
2 |
|
7 |
4 |
|
8 |
2 |
|
9 |
2 |
|
10 |
1 |
As we can see that 7 occurred most frequently.
hence, Mode = 7
Ques- Find out the mode from the given data-
125 , 175 , 225 , 225 , 175 , 325, 125 , 125 , 375 , 225 , 125
Solution-
Find the frequency of the given set of observations as-
|
Values |
Frequency |
|
125 |
4 |
|
175 |
2 |
|
225 |
3 |
|
325 |
1 |
|
375 |
1 |
125 occurred for four (4) times (the most) in comparison to any other values.
So, Mode = 125
Ques- Find the mode for the following series-
7.3 , 7.2 , 7.5 , 7.2 , 7.4 , 7.7 , 7.5 , 7.2, 7.7, 7.3 , 7.2 , 7.6
Solution-
The frequency-
|
Values |
Frequency |
|
7.2 |
4 |
|
7.3 |
2 |
|
7.4 |
1 |
|
7.5 |
2 |
|
7.6 |
1 |
|
7.7 |
2 |
Maximum frequency 4 corresponds to value 7.2.
So, mode = 7.2.