CBSE Class 10 Maths Revision Notes Chapter 14

Class 10 Mathematics Revision Notes for Statistics of Chapter 14

Preparation is always incomplete without revising what you have studied. Revision certainly plays an integral role in disseminating crucial concepts and helps in achieving excellence and success in the CBSE Class 10 board examinations. Mathematics is one of the scoring subjects in Class 10. With several chapters to complete, concepts to understand, and questions to solve, it becomes important for students to properly revise them. But, the key challenge which students face is concerning accessing the revision notes. 

Thus, Extramarks has provided all the Class 10 Mathematics Chapter 14 Notes on its official website. The notes have been prepared keeping the latest syllabus of NCERT books into consideration. Moreover, the experts have analyzed the CBSE sample papers to prepare the Class Chapter 14 Mathematics revision notes for Statistics.

Class 10 Mathematics Revision Notes for Statistics of Chapter 14 – Free PDF Download (Add revision notes PDF)

Revision Notes Class 10 Mathematics Chapter 14: Introduction to Statistics

Chapter 14: Introduction to Statistics is an important chapter in Class 10 Mathematics. The chapter comprises several sub-topics such as mean, median, mode, etc… There are several formulas, numerical concepts, etc that need to be revised by students regularly. Thus, Extramarks has provided a complete list of revision notes on its official website which can be easily referred to and accessed by students. These notes have been developed in a detailed manner. Students can regularly study these notes and prepare well for examinations. 

Statistics

Statistics is regarded as the analysis or study of various collections, interpretations, presentations, and data organization. If put in simpler words, statistics is a discipline of mathematics that is efficiently applied for collecting and summarising data.

Mean of grouped data

Mean is known as a measure of central tendency. It is the average value of a set of given observations. The three methods that are commonly used to find the mean of grouped data are-

• Direct Method:

x¯¯¯=∑i=1nfixi/∑i=1nfi,

Where x¯¯¯ is known as the mean,

 f is known as the frequency,

 X is known as the mid-interval.

2. Assumed Mean Method:

x¯¯¯=A+∑i=1nfidi/∑i=1nfi

Here, A stands for assumed mean, and d is x−A.

3. Step Deviation Method:

x¯¯¯=A+h×∑i=1nfiti/∑i=1nfi

Where h stands for class size, and t is DH.

A Quick Overview of Class 10 Mathematics Chapter 14

Class 10 Mathematics Chapter 14 is titled Introduction to Statistics. This chapter explains statistics as well as different sub-concepts such as mean, median, mode, grouped data, ungrouped data, etc. After referring to these concepts, students can even revise them by accessing the revision notes on the Extramarks website. They will also learn about the basic concepts of cumulative frequency, cumulative frequency distribution and the technique to draw the cumulative frequency, etc. 

Mean of Grouped Data

The mean of any observation is defined as the sum of all the given values divided by the total number of observations. If the observations are y₁,y₂, y₃, y₄…yₙ with the respective frequencies f1, f2, f3, f4, …., fn, the mean of the y of the given data will be-

y¯ = f1y1, f2y2, f3y3, f4y4, +…..+ yn/f1, f2, f3, f4,….fn

Mode of Grouped Data

The mode of grouped data is defined as one of the values among the observations, which is set to occur with the highest frequency. To put it in simpler words, it is further called the value of the observation with the maximum frequency.

Median of Grouped Data

If n is even, then the median is defined as the average of the median and is regarded as the measure of central tendency known to obtain the value of the middle observation in the data.

If n is odd, the median will be (n+1/2) the term of the observations.

However, if n is even, the median will be the average of the (n/2)th and the (n+1/2) term of the observations.

Cumulative Frequency

The cumulative frequency of any class is defined as the frequency achieved by adding the frequencies belonging to every class above the given type.

List of the topics and subtopics covered in Class 12 Mathematics Chapter 14

The various topics and subtopics covered in Class 10 Mathematics Chapter 14 notes are-

• Introduction
• Mean for grouped data
• Mode for grouped data
• Median for grouped data
• Graphical representation of the cumulative frequency distribution

Benefits of Class 10 Mathematics Chapter Statistics Notes

Following are a few of the benefits of studying from Class 10 Mathematics Chapter 14 notes-

• The Class 10 Mathematics Chapter 14 Notes are tailored carefully such that they can deliver 100% accuracy. The notes are prepared upon performing extensive research on various topics by mathematics experts.
• Revision becomes easier when you can access the notes in the pdf version. It will help you revise the essential points anytime. 
• The notes will allow the students to revise the already learned concepts and gain a robust understanding of the chapter conveniently. The provision of notes will make your last-minute preparation even more straightforward.
• The revision notes are the perfect way to make every student acquainted with the complex topics and further help them identify the chapter’s integral elements.
• Last but not least, Class 10 Mathematics Chapter 14 will help in referring to only one material instead of referring to multiple study materials, NCERT books, and CBSE essential questions during the revision.