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RD Sharma Class 10 Chapter 7 Solutions (Statistics)

Our RD Sharma Class 10 Maths Solutions Chapter 7 is a comprehensive collection of answers to the questions based on Statistical concepts. This chapter allows you first to get acquainted with statistical terms like grouped and ungrouped data, frequency, and class interval. Our solutions for RD Sharma Class 10 Maths Solutions for Chapter 7 help you to delve deep into the concepts of Mean, Median and Mode by providing the best solutions to the problems related to them.

There is a total of 50 questions in 6 exercises of RD Sharma Class 10 Maths Chapter 7. All the questions in RD Sharma Class 10 Maths Chapter 7 – Statistics are based on the direct calculation of mean, assumed mean, calculation of mean with step-deviation methods. They also cover the median calculation with class intervals, types of cumulative frequency distribution, and graphical representation of the median. Further, questions on ways of estimating mode from a set of grouped data, ungrouped data, finding mode without class intervals, graphical representation of mode, and calculation of central tendency have been answered using the best way of solving these questions. All the questions have been answered in a step by step way to facilitate effective learning.

Our RD Sharma Class 10 Maths Solutions Chapter 7 provide effective study methods that help you develop a strong conceptual base. These solutions become the best resource for all your learning requirements by clearing your doubts instantly and providing enough practice opportunities.

RD Sharma Class 10 Maths Statistics: Important Topics

Class 10 Maths Statistics offers the extended study of the three topics —mean, median and mode— along with the concept of cumulative frequency, the cumulative frequency distribution and cumulative frequency curves (ogives).

These topics are further described below.

  • Mean of Grouped Data

Here you learn the method of calculating the mean for grouped data with and without class interval, using the direct method, assumed mean method, and step-deviation method which are represented below.

  • the direct method, mean = ∑fixi / ∑fi
  • (ii) the assumed mean method, mean = a + (∑fidi / ∑fi)
  • (iii) the step deviation method, mean = a + [(∑fiui / ∑fi) × h]

All these are based on the assumption that the frequency of a class is centred at its mid-point, called its class mark.

  • Mode of Grouped Data

Here you learn the methods of calculating the median from a set of grouped data with and without class intervals, cumulative frequency, types of cumulative frequency distribution, and the most interesting, graphical representation of median.

The mode for grouped data can be determined by using the formula –

Mode = l + [(f1 –f0) / 2f1 – f0 –f2) × h]

The cumulative frequency of a class is the frequency obtained by adding the frequencies of all the classes preceding the given class.

  • Median of Grouped Data

Here you learn the ways of calculating mode from a set of grouped and ungrouped data, finding mode without class intervals, representing mode graphically, and calculating central tendency.

The median for grouped data is formed by using the formula – Median = l + [(n/2 – cf) / f] × h

In RD Sharma Class 10 Maths Solutions Chapter 7-Statistics you will also be learning about representing a cumulative frequency distribution graphically as a cumulative frequency curve, or an ogive of the less than type and the more than type. Further, you learn that the median of grouped data can be obtained graphically as the x-coordinate of the point of crossing of the two ogives for this data.

RD Sharma Class 10 Maths Chapter 7: Exercise-Discussion

This chapter provides a thorough understanding of the concepts discussed through its practise exercise. Its components are discussed below:

Exercise 7.1  

This exercise contains 6 questions. Questions 1 and 2 ask you to calculate mean. Questions 3 to 6 ask you to find out a missing number in the set whose mean is provided.

Exercise 7.2

There are 6 questions in this exercise, all of which ask you to calculate the mean number of the data set given.  

Exercise 7.3

There are 14 questions in this exercise, and all of them ask you to calculate the mean of the given frequency distribution by applying suitable methods according to the case.

Exercise 7.4  

This exercise contains 10 questions. Questions 1to 5 and 7 to 9 ask you to calculate the median of the given data set. Questions 6 and 10 ask you to calculate missing data from a set where the median is already provided.

Exercise 7.5

Here you will find a total of 9 questions, all of which need you to calculate mode for the given data set. In addition, few questions also ask you to calculate the mean and the median of the given data sets. 

Exercise 7.6

Here you will find a total of 5 questions to solve. Questions 1 and 3 ask you to draw an ogive using less than method. Questions 2 and 5 ask you to prepare the cumulative frequency distribution table and draw an ogive by using less than the method. Question 4 asks to draw a frequency polygon for the given set of data.

Benefits of RD Sharma Class 10 Maths Solutions for Chapter 7 – Statistics

  • The RD Sharma solutions will help you to develop the right conceptual foundation to be used in higher grades and competitive examinations.
  • Our solutions are created in an interactive manner, so learning becomes interesting for you.
  • Our solutions provide the answers to all the exercises with useful techniques for a clear understanding of the concepts so that you can score good marks in board examination.
  • They are designed in a way that you get an ample amount of practice of solving the questions from this topic.
  • Our solutions are handy and can be easily accessed for clarification of doubts.