# RD Sharma Class 9 Chapter 24 Solutions (Measures of Central Tendency)

RD Sharma Class 9 Maths Chapter 24 – Measures of Central Tendency help you to prepare well for the CBSE exams. To understand the concept of statistics, you must also learn the basics of Central Tendency. This chapter of RD Sharma Class 9 Maths Solutions has 4 exercises. All these exercises have a total of 33 questions for complete revision and better learning. This chapter will give you a complete revision and a better understanding of the topic. The application of Central Tendency will always be useful in other issues like probability, permutation, and combination. Our subject matter experts have prepared the step-by-step solutions which will help you understand the topic easily.

In this chapter, we will go through a lot of topics starting from the introduction of the measure of Central Tendency. It will give you a better knowledge of statistics and will make this chapter one of the easiest. The topics covered are arithmetic mean of single observations or ungrouped data and properties of arithmetic mean. The concept of median and mode and all the various properties are also included in this chapter.

We have provided the best solution by our expert. This is the best technique to enhance your learning and grip of this chapter. This will help you get a high score in the exams. It is one of the best practice books for preparing your board exams and other competitive exams as well.

## Important topics for RD Sharma Class 9 Maths Chapter 24 – Measures of Central Tendency

**Data: **Any kind of figure or numerical data that is intended for a definite purpose is known as data.

**Ungrouped data: **The data in its original form is known as ungrouped data, which is not classified in any kind of group.

**Grouped data: **When the observations of data are organized in certain groups, then it is known as grouped data.

**Class Interval: **The size of any class into which specific data is divided is called the class interval.

**Regular class interval: **When the class intervals between the data are equal or in a consistent manner.

- E.g: 0-10, 10-20, 20-30….. 90-100

**Irregular class interval: **When the class intervals of the data are of varying sizes or in a random manner, then it is known as the irregular class interval.

- E.g 0-35, 35-40, 40-80, 80-90, 90-95, 95-100

**Average: **The sum of all the values in the observations divided by the total number of observations is known as the average.

**Mean: **It is the sum of all the variables divided by the total number of variables. The formula for calculating the mean of ungrouped frequency is as follows:

**A =** **Σx**_{i}**f _{i}**

**/f**; where fi is the frequency of ith observation

_{i}**Mode: **It is the most frequently occurring observation in the whole list of considerations.

**Median: **The value of the middle observation from the entire file is known as the median.

- When the number of observations is odd, Median =[(n+1)/2]
- If the number of observations is even, the Median is the mean or average of (n/2)th and [(n+1)/2]th observation.

### Exercise Discussion of RD Sharma Class 9 Maths Chapter 24 Measures of Central Tendency

This chapter is divided into well thought four exercises and a last individual exercise of very short answer questions with a total of 33 queries. These questions range from easy to challenging levels.

- Activity 24.1 contains ten questions and is based on finding the mean of various observations. Some observations are also based on variable expressions as well.
- Exercise 24.2 has seven questions and is focussed on finding the mean of ungrouped frequency of data. Some items have the value of the mean given, and the missing amount from frequency distributions is asked to be calculated.
- Exercise 24.3 has eight questions asking to calculate the median in different types of grouped and ungrouped data.
- Activity 24.4 contains the problem of estimating the mode of different data.
- The last Exercise of VSAQ is based on finding ratios and differences of mode and mean.

### Benefits of RS Aggarwal Class 9 Maths Chapter 24 Measures of Central Tendency by Instasolv

RD Sharma Solutions for Chapter 24 Measures of Central Tendency by our experts sets all the fundamental subjects with a topic-wise explanation that intends to help students with understanding the section better.

Our RD Sharma answers for Chapter 9 are accessible free of cost. These are the best revision material you can use for your last-minute studies. These solutions will also help in time management in exams and gaining speed through calculations.