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NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2

NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2 provide stepwise answers to all the exercise questions. Exercise 14.2 of Chapter 14 Statistics is based on finding the mode of grouped data. There are 6 questions in the exercise whose stepwise solutions are provided by askIITians Maths experts. These solutions will help you form a solid understanding of the chapter and prepare you well for Class 10 Maths board exams. You can download these NCERT Solutions for free in PDF form and study them independently at your own pace. Let us see what is included in Exercise 14.2 and how our NCERT Solutions for the exercise can be beneficial for you. 

 

About NCERT Class 10 Maths Chapter 14 Ex 14.2

Important points to note before you start solving exercise 14.2 of Statistics: 

In Class 9, you have already learned how to find the Mode of an ungrouped data set. In Class 10, you are going to learn how to find the modal value of a grouped data set. 

  • Mode of a data set: Mode is the value among the observations which occurs most often, that is, the value of the observation having the maximum frequency.
  • Mode of grouped data: To find the mode of the grouped frequency distribution, it is not possible to determine the mode by looking at the frequencies. Here, we can only locate a class with the maximum frequency, called the modal class.

The mode is a value inside the modal class, and is given by the formula:

 

Where, l = lower class limit of the modal class

h = class interval size

f1 =frequency of the modal class

f0 =frequency of the preceding class

f2 = frequency of the succeeding class

 

Types of questions included in exercise 14.2 of NCERT Class 10 Maths Chapter 14: 

Ex 14.2 Q1: In this question, you are given a frequency distribution table with the ages of the patients admitted in a hospital during a year. You have to find the mode and mean of the data. You also have to compare and interpret the two measures of central tendency. 

Ex 14.2 Q2: In this question, you are given a frequency distribution table with the information on the observed lifetimes (in hours) of 225 electrical components. You have to determine the modal lifetimes of the components. It is a simple question where you have to apply the formula given above. Make sure you make no calculation mistakes. 

Ex 14.2 Q3: In this question, you are given the frequency distribution of the total monthly household expenditure of 200 families in a village. You have to find the modal monthly expenditure of the families and their mean monthly expenditure. This exercise is also helping you revise the concept of finding the mean of grouped data. Check our NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2 for a stepwise solution to this question. 

Ex 14.2 Q4: In this question, you are given a frequency distribution of state-wise teacher-student ratio in higher secondary schools of India. You have to find the mean and median of data and interpret them. Many students get confused about how to interpret these values. Our NCERT Solutions for Class 10 Maths will help you understand that. 

Ex 14.2 Q5: In this question, you have to find the mode of the frequency distribution that shows the number of runs scored by some top batsmen of the world in one-day international cricket matches. Make sure to take care of the calculations. 

Ex 14.2 Q6: In the last question of this exercise, you are given a frequency distribution table of the number of cars passing through a spot on a road for 100 periods each of 3 minutes. You have to find the mode of the data. 

Download Free NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2

You can see that all the questions given in Ex 14.2 are straightforward. However, they require you to apply the formula of the mode of grouped data and interpret your answers carefully. Our NCERT Solutions will be your ultimate guide in this case. Here are some of the main benefits of downloading our NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2:

  • askIITians NCERT Solutions include clear, stepwise explanations so that you can understand how to approach the questions in the exam. 
  • They are based on the latest CBSE exam pattern and syllabus for your complete preparation for board exams. 
  • They are prepared by askIITians Maths experts who have more than 15 years of teaching experience, making the NCERT Solutions more reliable for students. 
  • We guarantee that once you study with the help of our NCERT Solutions, you will not face any issues in solving questions related to this exercise. 
  • Our NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2 are your best guide for resolving all your doubts related to finding the mode of grouped data. 

Download the exercise-wise NCERT Solutions for Class 10 Maths Chapter 14 from askIITians: 

  • NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.1 
  • NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2 
  • NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.3 
  • NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.4

NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2 FAQs

  1. What is the mode of grouped data? 

Mode is the value among the observations which occurs most often, that is, the value of the observation having the maximum frequency.

  1. How should I prepare Chapter 14 Statistics for Class 10 board exams? 

You should use askIITians free revision notes, mind maps and flashcards to revise all the concepts of the chapter and the important formulae. Then, you can practice our daily worksheets, extra questions and NCERT Solutions for Statistics chapter. You can also enrol in our online, live, interactive classes and study statistics from our experts. 

  1. Is exercise 14.2 of NCERT Class 10 Maths Chapter 14 important? 

Yes, all the four exercises of this chapter are important for students as you can be asked to find the mean, median and mode of grouped data in the exam. So, you must practice these exercises thoroughly. 


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