NCERT Solutions for Class 10 Maths Chapter 14 Statistics

 

NCERT Solutions for Class 10 Maths Chapter 14 Statistics are available for free. These solutions are prepared by the best Maths experts at askIITians. The solutions are based on the latest CBSE exam pattern and syllabus, making them a perfect choice for board exam preparation. You can learn independently with these solutions as we have included stepwise answers and comprehensive explanations in them. The solutions are your ultimate study guide. Download the exercise-wise solutions for NCERT Class 10 Maths Statistics Chapter and start practising. 

About NCERT Class 10 Maths Chapter 14 Statistics

 

Statistics is an important concept that will not only help you score better marks in the Class 10 board examination but also higher classes and competitive exams. The main concepts introduced in this chapter are related to finding the mean, median and mode of grouped data along with the graphical representation of cumulative frequency distribution. You have already studied the concepts of mean, median and mode in Class 9. But they were for ungrouped data. 

 

Important points that will help you in solving the NCERT exercises of this chapter are: 

 

Mean

 

Mean is the average of ’n’ numbers. It is calculated by dividing the sum of all the numbers by ’n’. 

Mean in case of ungrouped data is calculated by:

 

Mean in the case of grouped data (without any class intervals) is calculated by:

 

 

Where, x1, x2, x3,...... xn are the observations

f1, f2, f3, ...... fn are the respective frequencies of the given observations.

Mean, in the case of grouped data with class intervals is calculated using three methods: 

 

1. Direct Method 

In this method, we first calculate the class mark, represented by Xi. 

Then, the mean is given by: 

2. Assumed Mean Method 

In this method, we choose one of the class marks as an assumed mean (a). Then, we find the difference (di) between the assumed mean and every class mark. Then, we find the product of every corresponding frequency and the difference that we have calculated (fidi).

The mean is calculated as: 

3. Step Deviation Method

In this method, we divide the difference (di) that we have obtained by the class size (h) to ease our calculations. We denote this by ui where, 

ui = (xi - a) / h 

The mean is denoted by: 

Median 

The median is a measure of central tendency which gives the value of the middle-most observation in the data.

To find the median of ungrouped data, we first arrange the data values in ascending order. 

If n is odd, the median is given by the observation at:

If n is even, the median is the average of observations at the given values: 

To find the median of grouped data, we have to first find the cumulative frequency and n/2. 

Then, we find the median class, which is the class of the cumulative frequency near or greater than the value of n/2.

Then, the median is calculated by:

Where l = lower limit of the median class

n = no. of observations

cf = cumulative frequency of the class preceding to the median class

f = frequency of the median class

h = size of class

 

Mode

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

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

Download Free NCERT Solutions for Class 10 Maths Chapter 14 Statistics

 

Statistics is an important concept for competitive exams. So you must prepare this chapter thoroughly. You might face some difficulties in understanding how to find the mean, median and mode of grouped data but with practice, you can master these concepts. You must also work on your calculations as many students make small mistakes in the multiplication of frequencies and get the wrong answers in the exam. 

 

NCERT Class 10 Maths Chapter 14 Statistics includes 4 exercises. You can download the exercise-wise solutions of these exercises from the links given below: 

• NCERT Chapter 14 Class 10 Maths Ex 14.1 Solutions - 9 Questions
• NCERT Chapter 14 Class 10 Maths Ex 14.2 Solutions - 6 Questions
• NCERT Chapter 14 Class 10 Maths Ex 14.3 Solutions - 7 Questions
• NCERT Chapter 14 Class 10 Maths Ex 14.4 Solutions - 3 Questions

 

Noteworthy features of NCERT Class 10 Maths Solutions for Chapter 14 Statistics: 

• The NCERT Solutions can be downloaded in PDF form and used as a reference to find the correct solution to the exercise questions. 
• The solutions include step by step explanations that make it easier for you to understand the concepts of mean, median and mode of grouped and ungrouped data. 
• You can use these NCERT free solutions for revising the concepts of Statistics before your board exams. 
• These solutions are solved by our Maths experts and are carefully checked for accuracy and correctness. 
• The solutions include step by step answers to help you understand how to approach questions related to mean, median and mode. 

NCERT Solutions for Class 10 Maths Chapter 14 Statistics FAQs

 

1. How many questions are there in Class 10 Maths Chapter 14 Statistics? 

There are 4 exercises in the Statistics chapter with 25 questions in total. We have provided exercise-wise solutions for all 4 exercises of the chapter. 

 

2. Are NCERT Solutions for Class 10 Maths Chapter 14 Statistics important for the CBSE board exam? 

NCERT Solutions help you revise all the important concepts of the chapter. You can understand how to approach different types of questions related to Statistics in the board exam. NCERT Solutions help resolve all your doubts related to the NCERT exercises of the chapter. 

 

3. Are there any other study materials available for NCERT Class 10 Maths Chapter 14 Statistics?  

askIITians provide free revision notes, NCERT Solutions, extra questions, previous year questions, mind maps, flashcards and many other study resources for Statistics. You can also enrol in our online CBSE classes for Maths and study directly from our Maths experts.