NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1 Statistics - PDF Download

NCERT solutions for class 10 maths chapter 13 ex 13.1 Statistics helps students figure out the mean of grouped data by using three different methods: the direct method, the assumed mean method, and the step-deviation method. This section will teach students how to organize data in a way that will help them understand its important features.

Arranged data is data that is presented in ascending or descending sequence. Arranged data is commonly referred to as arrayed data. NCERT solutions class 10 maths chapter 13 ex 13.1 consists of 9 questions in which data is presented in tabular format. Students must use the data to find the mean using three different methods. 

NCERT solutions class 10 maths chapter 13 ex 13.1free PDF is available here in downloadable format on eSaral. You can download these free PDFs and practice anytime. NCERT solutions for ex 13.1 are prepared by the mathematics academic team of eSaral that will help you to score high marks in board exams. 

Topics Covered in Exercise 13.1 Class 10 Mathematics Questions

Ex 13.1 covers questions associated with the topic mean of grouped data which is the essential part of this exercise. You can check the detailed explanation of this topic given below.

1. Mean of Grouped Data - The Mean (average) of observations is the sum of the values of all the observations divided by the total number of observations. 

                       Mean = sum of observation/total number of observations

                      Mean = Σfx / Σf  

Where,  Σfx is sum of the value of all the observation and Σf is total number of observations

Class mark = upper class limit + lower class limit/2

There are three methods to find mean of grouped data

1. Direct Method - In this method, we use a middle point that represents the entire class. It is called a class mark. It is the average of the upper and lower limits.

         Class mark = upper class limit + lower class limit/2

                              x̄ = Σfx / Σf 

2. Assumed Mean Method - If we need to figure out the large numbers, then we can apply this method to simplify the calculation. In this way, we can take one of ‘x’ as the assumed mean and take it as ‘a’. Then, we can find the deviation which is equal to the difference of the assumed mean and each of the x. The rest of the steps are the same as in the direct method.

                            x̄ = a + Σfd / Σf 

3. Step Deviation Method - In this method, we divide the values of d with a number "h" to make it simpler to calculate.

                                 x̄ = a + (Σfu / Σf)h 

Tips for Solving Exercise 13.1 Class 10 chapter 13 Statistics

Our team of experts in mathematics have provided some helpful tips on how to solve the questions in ex 13.1.

1. NCERT solutions class 10 maths chapter 13 ex 13.1 Statistics to solve the exercise, students need to first understand how to organize the data in the correct form. This is very important for solving the questions.

2. They should use all three methods to find the mean of a group of data. Different questions can be solved using different methods.

3. NCERT solutions class 10 maths chapter 13 ex 13.1 is a great way for students to get a better grasp of the topic. They can also solve some of the examples listed in the NCERT solutions to help them get a better understanding of the questions.

Importance of Solving Ex 13.1 Class 10 Maths chapter 13 Statistics

You will get numerous benefits by solving ex 13.1 class 10 maths chapter 13 statistics.

1. Class 10 maths chapter 13 ex 13.1 provides a new set of formulas for calculating the mean and class mark.

2. Ex 13.1 of class 10 maths chapter 13 will help us to comprehend the concepts associated with the mean of grouped data.

3. eSaral provides detailed NCERT solutions so that the students can easily understand the answers. Students can revise and practice class 10 maths chapter 13 ex 13.1 regularly and get higher marks with consistent practice and revision.

4. These solutions are accurate and can be implemented by students to help them prepare for their board exams.

Frequently Asked Questions

Question 1. Outlines the main concepts of the ex 13.1 class 10 maths?

Answer 1. Ex 13.1 covers the following topics:  the fundamental concept of statistics. The definition of the mean and its formula. The different ways of finding the mean like assumed mean method, step deviation method and direct method.

Question 2. What is grouped data?   

Answer 2.  Grouped data is data that has been structured in such a way that each observation has been grouped to provide a more meaningful way of summarizing the data.