# NCERT Solutions For Class 10 Maths Chapter 14 Statistics Ex 14.2

## NCERT Solutions for Class 10 Maths Chapter 14 Statistics (Ex 14.2) Exercise 14.2

Maths can be difficult to understand for those who are weak in this subject. It can act as a barrier for students to secure good marks in the exams. Those students who don't have a strong base knowledge of Mathematics are the ones to suffer the most. Statistics in Maths is one of the most confusing chapters, which is why NCERT Solutions for Class 10th Maths Chapter 14 Exercise 14.2 is considered as one of the problematic exercises because ex 14.2 Class 10 involves statistics. Class 10 Maths NCERT Solutions Chapter 14 Exercise 14.2 is the best option for understanding this exercise because it explains all the problems in a simple way avoiding any confusions. Students can find Class 10 Science Solutions for free only at Vedantu.

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## NCERT Class 10 Maths Exercise 14.2 Solutions - Free PDF Download

Students who are weak in Maths come across various confusions while preparing for the exam. There are different chapters in Math that are complicated and hard to understand. Among which Statistics is one, which sometimes can be very complicated and hard to understand. Exercise 14.2 Class 10 consists of some statistical problems that the student finds difficult to understand. With the help of Ex 14.2 Class 10 NCERT Solutions, Exercise 14.2 Class 10 can be made easier. The PDF of NCERT Solutions can get downloaded for reference during preparation for exams.

The Class 10 exercise 14.2 solutions give students an overview of Class 10 Maths Chapter 14 Exercise 14.2 in a detailed manner. Every question in this exercise is appropriately explained in a simple way that is understandable by every student, including those who are weak in Maths.

### Exercise 14.2 Class 10 NCERT Solutions

We all must have witnessed that Maths is not a chapter that can get neglected during exams. Neglecting it can cost a student too much. Scoring good marks in Maths is not easy; its a very difficult task and requires a lot of dedication and preparation. Getting a perfect solution to every question is mandatory for scoring good in this subject because a little mistake in this subject can cost you a lot of marks. Students who aren't clear on basic knowledge of Maths can face a lot of problems during exams. They might not be that productive and efficient as compared to other students.

In Maths, Statistics is considered as one of the difficult chapters and requires maximum attention during exams. Statistics is considered as a discipline which involves the study of different methods of collection, organizing, analysis and interpretation of data that is required for some particular research. Statistics is classified into two types namely descriptive statistics and inferential statistics. Statistics is generally considered as a collection of quantitative data.

In Statistics, Maths Class 10 Chapter 14 Exercise 14.2 is one of the most confusing exercises among all. Students always face difficulties and get confused while solving this exercise. Class 10 Chapter 14 Exercise 14.2 can get easier with the help of Vedantu. NCERT Solutions for Class 10 Maths Chapter 14 Exercise 14.2 gives an explanative solution to every question in that exercise, making it easier for students to understand.

NCERT Class 10 Maths Exercise 14.2 Solutions contain explanation to questions which are most likely to come in the exams. Class 10 exercise 14.2 solutions will make the preparation of the students more productive and efficient. After completing solving these solutions, students will become more confident in Mathematics and can secure higher marks in the exams. After solving these questions, students will have a clear overview of statistics without any doubts. The questions given in this NCERT Solutions will provide students with a preview on the pattern of questions they are going to face in the exams.

The questions are solved by experts who have years of experience in Mathematics, thus ensuring the students that the quality of the solution is top class.

### NCERT Solutions for Class 10 Maths Chapter 14 Exercises

 Chapter 14 - Statistics Exercises in PDF Format Exercise 14.1 9 Questions & Solutions (9 Long Answers) Exercise 14.2 6 Questions & Solutions (6 Long Answers) Exercise 14.3 7 Questions & Solutions (7 Long Answers) Exercise 14.4 3 Questions & Solutions (3 Long Answers)

### Important Concepts Covered under NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.2

Exercise 14.2 of the NCERT Solutions for Class 10 Maths Chapter 14 Statistics is based on the concepts such as mean and mode and their formulas. In this exercise, the questions mainly focus on finding the mode of grouped data along with the mean value. The data of these questions are illustrated in the tabular format and the students need to analyse and find the required parameters. Students should remember the formulas of mean and mode to solve these questions.

The formula to find the mode is given below:

Mode =  $l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h$

where l is the lower limit of the modal class, h is the size of the class interval, f1 is the frequency of the modal class, f2 is the frequency of the class succeeding the modal class, and f0 is the frequency of the class preceding the modal class.

### Importance of Calculating Mode

The mode is most useful if there are a lot of repeated values in a dataset and while examining categorical data, such as flavours of soda or models of cars, for which an average median value can not be calculated. For example, real estate agents calculate the mode of the number of bedrooms per house to update their clients about how many bedrooms they can expect in a particular area. HR managers calculate the mode of different positions in the company to be aware of the most common position of the employees in the company. Marketers calculate the mode of the type of ad (e.g., newspaper, radio, TV, digital, etc.) to know which type of ads their company uses most often.

### Benefits of Ex 14.2 Class 10 NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 14 Exercise 14.2 from Vedantu acts as a saviour for students who are weak in Mathematics and face problems in Class 10 Maths ch 14 ex 14.2. Some of the benefits are listed below:

• The solutions are solved in a brief manner and most importantly, in a simple way.

• The solutions are solved by experts who have years of experience in Mathematics.

• The quality of the solutions is top class, thus eliminating every chance of any mistake.

• The solutions are solved following the CBSE format.

### NCERT Solutions for Class 10 Maths

1. What is statistics?

Statistics is considered as a subject which is concerned with collection, organisation, analysis, interpretation and presentation of data. Statistics is used in different fields for data analysis purposes. People who are using statistics for data analysis and interpretation must have some technical and cognitive skills to achieve maximum success in his/her work. The government uses statistics in the census and for calculating or measuring different indicators that affect the economy of the country — indicators such as unemployment, stock market, etc. Statistics is not an easy task. One needs a lot of experience to complete it in an efficient and productive way.

2. What is the importance of NCERT Solutions?

Mathematics is a subject where a student can score good, but it turns out to be difficult for some students who are not acquainted with the concepts and basics. Here, NCERT Solutions are the only option that can save students from failing the exams. NCERT Solutions for exercises of different chapters of Mathematics provide some quality solutions to every question in the exercise; thus, by preparing these solutions, the students can gain maximum experience and score better marks in the final exams. NCERT Solutions have proved to be very productive in student's preparation for their final exams.

3. How much time do students need to complete Exercise 14.2 Of Class 10 Mathematics?

Providing at least one hour completely to the Exercise 14.2 Chapter 14 Class 10 Maths would be enough for the student to complete and understand the concepts. But, it is also to be remembered that continuous practice would help the student attain the desired results. Therefore it is advisable that the student come back to the exercise time and again and practice the numericals to get a better hold of the concepts. To make the studying process easier, the students can refer to the NCERT Solutions which they can easily download from the website of Vedantu.

4. What is ungrouped data?

Data that is usually represented in its original or raw form and where the observations are not classified into groups is called ungrouped data. For instance, if the teacher of a kindergarten writes down the ages of her students in the following manner, then it gets called an ungrouped data

5, 3, 4, 3, 5, 4, 4, 3, 4, 4, 3, 3, 3, 4, 3, 27 .

It is easier to analyze and work upon ungrouped data if the set is small and limited. But it becomes a hassle if the set is in a larger quantity.

5. What is the direct method of finding the mean?

To find the mean through the direct method, the following steps are to be considered

• The first step includes the classification of the data into intervals in addition to finding the corresponding frequency of each class.

• The next step includes the finding of the classmark by considering and taking into account the midpoint of the upper-class limits and the lower class limits.

• The third step includes the grouping and tabulating of the product of the class mark and its corresponding frequency for each class. Their sum is also to be calculated.

• The last step involves dividing the acquired sum by the sum of the frequencies in order to attain the mean.

6. How to find the mean using the assumed mean method?

To find the mean using the assumed mean method, the following steps are to be taken into account:

• The first step involves the classification of the data into intervals and finding out the corresponding frequency of each class.

• The next step includes the finding of the classmark by considering the midpoints of the upper-class limits and the lower class limits.

• The third step involves considering one of the ‘s as the assumed mean.

• The next one needs to find out the derivation of “a” from each of the xi.

di=xi-a′

• The final step involves finding out the mean of the deviations and calculate the mean

7. Are the NCERT Solutions available for Class 10 Maths Chapter 14?

Yes, the NCERT Solutions are easily feasible for Class 10 Maths Chapter 14 and can be downloaded from the Vedantu website or from the Vedantu app at free of cost. These solutions are devised by experts keeping in mind the needs and requirements of the students. Every exercise that these solutions contain have detailed and explained answers that make the learning process smoother and simpler for the students. With the regular and adequate practice of these exercises, the student will be able to solve any question that gets asked from this chapter.