
CBSE Important Questions›

CBSE Previous Year Question Papers›
 CBSE Previous Year Question Papers
 CBSE Previous Year Question Papers Class 12
 CBSE Previous Year Question Papers Class 10

CBSE Revision Notes›

CBSE Syllabus›

CBSE Extra Questions›

CBSE Sample Papers›
 CBSE Sample Papers
 CBSE Sample Question Papers For Class 5
 CBSE Sample Question Papers For Class 4
 CBSE Sample Question Papers For Class 3
 CBSE Sample Question Papers For Class 2
 CBSE Sample Question Papers For Class 1
 CBSE Sample Question Papers For Class 12
 CBSE Sample Question Papers For Class 11
 CBSE Sample Question Papers For Class 10
 CBSE Sample Question Papers For Class 9
 CBSE Sample Question Papers For Class 8
 CBSE Sample Question Papers For Class 7
 CBSE Sample Question Papers For Class 6

ISC & ICSE Syllabus›

ICSE Question Paper›
 ICSE Question Paper
 ISC Class 12 Question Paper
 ICSE Class 10 Question Paper

ICSE Sample Question Papers›
 ICSE Sample Question Papers
 ISC Sample Question Papers For Class 12
 ISC Sample Question Papers For Class 11
 ICSE Sample Question Papers For Class 10
 ICSE Sample Question Papers For Class 9
 ICSE Sample Question Papers For Class 8
 ICSE Sample Question Papers For Class 7
 ICSE Sample Question Papers For Class 6

ICSE Revision Notes›
 ICSE Revision Notes
 ICSE Class 9 Revision Notes
 ICSE Class 10 Revision Notes

ICSE Important Questions›

Maharashtra board›

RajasthanBoard›
 RajasthanBoard

Andhrapradesh Board›
 Andhrapradesh Board
 AP Board Sample Question Paper
 AP Board syllabus
 AP Board Previous Year Question Paper

Telangana Board›

Tamilnadu Board›

NCERT Solutions Class 12›
 NCERT Solutions Class 12
 NCERT Solutions Class 12 Economics
 NCERT Solutions Class 12 English
 NCERT Solutions Class 12 Hindi
 NCERT Solutions Class 12 Maths
 NCERT Solutions Class 12 Physics
 NCERT Solutions Class 12 Accountancy
 NCERT Solutions Class 12 Biology
 NCERT Solutions Class 12 Chemistry
 NCERT Solutions Class 12 Commerce

NCERT Solutions Class 10›

NCERT Solutions Class 11›
 NCERT Solutions Class 11
 NCERT Solutions Class 11 Statistics
 NCERT Solutions Class 11 Accountancy
 NCERT Solutions Class 11 Biology
 NCERT Solutions Class 11 Chemistry
 NCERT Solutions Class 11 Commerce
 NCERT Solutions Class 11 English
 NCERT Solutions Class 11 Hindi
 NCERT Solutions Class 11 Maths
 NCERT Solutions Class 11 Physics

NCERT Solutions Class 9›

NCERT Solutions Class 8›

NCERT Solutions Class 7›

NCERT Solutions Class 6›

NCERT Solutions Class 5›
 NCERT Solutions Class 5
 NCERT Solutions Class 5 EVS
 NCERT Solutions Class 5 English
 NCERT Solutions Class 5 Maths

NCERT Solutions Class 4›

NCERT Solutions Class 3›

NCERT Solutions Class 2›
 NCERT Solutions Class 2
 NCERT Solutions Class 2 Hindi
 NCERT Solutions Class 2 Maths
 NCERT Solutions Class 2 English

NCERT Solutions Class 1›
 NCERT Solutions Class 1
 NCERT Solutions Class 1 English
 NCERT Solutions Class 1 Hindi
 NCERT Solutions Class 1 Maths

JEE Main Question Papers›

JEE Main Syllabus›
 JEE Main Syllabus
 JEE Main Chemistry Syllabus
 JEE Main Maths Syllabus
 JEE Main Physics Syllabus

JEE Main Questions›
 JEE Main Questions
 JEE Main Maths Questions
 JEE Main Physics Questions
 JEE Main Chemistry Questions

JEE Main Mock Test›
 JEE Main Mock Test

JEE Main Revision Notes›
 JEE Main Revision Notes

JEE Main Sample Papers›
 JEE Main Sample Papers

JEE Advanced Question Papers›

JEE Advanced Syllabus›
 JEE Advanced Syllabus

JEE Advanced Mock Test›
 JEE Advanced Mock Test

JEE Advanced Questions›
 JEE Advanced Questions
 JEE Advanced Chemistry Questions
 JEE Advanced Maths Questions
 JEE Advanced Physics Questions

JEE Advanced Sample Papers›
 JEE Advanced Sample Papers

NEET Eligibility Criteria›
 NEET Eligibility Criteria

NEET Question Papers›

NEET Sample Papers›
 NEET Sample Papers

NEET Syllabus›

NEET Mock Test›
 NEET Mock Test

NCERT Books Class 9›
 NCERT Books Class 9

NCERT Books Class 8›
 NCERT Books Class 8

NCERT Books Class 7›
 NCERT Books Class 7

NCERT Books Class 6›
 NCERT Books Class 6

NCERT Books Class 5›
 NCERT Books Class 5

NCERT Books Class 4›
 NCERT Books Class 4

NCERT Books Class 3›
 NCERT Books Class 3

NCERT Books Class 2›
 NCERT Books Class 2

NCERT Books Class 1›
 NCERT Books Class 1

NCERT Books Class 12›
 NCERT Books Class 12

NCERT Books Class 11›
 NCERT Books Class 11

NCERT Books Class 10›
 NCERT Books Class 10

Chemistry Full Forms›
 Chemistry Full Forms

Biology Full Forms›
 Biology Full Forms

Physics Full Forms›
 Physics Full Forms

Educational Full Form›
 Educational Full Form

Examination Full Forms›
 Examination Full Forms

Algebra Formulas›
 Algebra Formulas

Chemistry Formulas›
 Chemistry Formulas

Geometry Formulas›
 Geometry Formulas

Math Formulas›
 Math Formulas

Physics Formulas›
 Physics Formulas

Trigonometry Formulas›
 Trigonometry Formulas

CUET Admit Card›
 CUET Admit Card

CUET Application Form›
 CUET Application Form

CUET Counselling›
 CUET Counselling

CUET Cutoff›
 CUET Cutoff

CUET Previous Year Question Papers›
 CUET Previous Year Question Papers

CUET Results›
 CUET Results

CUET Sample Papers›
 CUET Sample Papers

CUET Syllabus›
 CUET Syllabus

CUET Eligibility Criteria›
 CUET Eligibility Criteria

CUET Exam Centers›
 CUET Exam Centers

CUET Exam Dates›
 CUET Exam Dates

CUET Exam Pattern›
 CUET Exam Pattern
Normal Distribution Formula
Normal Distribution Formula is part of the Probability and Statistics unit of Mathematics. The mathematical fields of Probability and Statistics, which include the gathering, examination, interpretation, and presentation of numerical data, are concerned with the rules regulating random events. The study of gambling and insurance in the 17th century gave rise to probability, which is now an essential tool in the Social and Natural Sciences. As a unique scientific subject, Statistics was founded in the early 19th century as the study of populations, Economics, and moral behaviours. Later in the same century, Statistics was also formed as the mathematical tool for analysing such numbers.
The two key ideas in Mathematics are Probability and Statistics. All probability is based on chance. While Statistics focuses more on the methods one uses to handle different types of data. It aids in the representation of complex data in a very simple and clear manner. Students in classes 10, 11, and 12 typically learn about Statistics and probability as they get ready for final exams and competitive exams. In their academic texts and notes, these fundamentals are briefly introduced. Today’s data science professions use Statistics extensively. Professionals make business predictions using Statistics. They can use it to forecast the company’s future gains or losses.
The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur. Tossing a coin in the air, for example, what are the chances of receiving a head? The number of outcomes that could occur is the basis for the response to this question. The outcome in this case might be either head or tail. Therefore, there is a 50% chance that the result will be a head.
The study of data gathering, analysis, interpretation, presentation, and organisation is known as Statistics. It is a technique for gathering and analysing data. This has numerous uses on both a local and large scale. Statistics are utilised in all such data research, whether it is for studying a nation’s population or its economy.
Numerous disciplines, including Sociology, Psychology, Geology, and Weather Forecasting, have a vast application for Statistics. Here, both quantitative and qualitative data are being gathered for analysis. Discrete and continuous quantitative data are just two examples of the two forms available. While continuous data does not have a fixed value but instead has a range, discrete data has a fixed value. In this notion, numerous words and formulas are used
Applications of Probability and Statistics:
Probability is the measure of how likely something is to happen. The use of probability has many different applications. Here are a few examples of probability’s uses in real life:
 Use of Probability in Weather Forecasting
By utilising a variety of devices and technologies, meteorologists compile a database on the weather and its variations around the world. To predict the global temperature fluctuations and the weather for a specific hour, day, week, month, and year, they gather weather data from all across the world.
In order to warn the public, especially in coastal areas, a probability forecast records the hazards related to weather or temperature changes and evaluates how the weather changes in terms of percentages.
 Using Probability to Predict Election Results
Elections are extremely important in the nation’s politics. Exit polls are used by political analysts to calculate the likelihood that a candidate or a party will win or lose in an election. The probability method is used to forecast the outcome of the postelection vote.
 Business Applications of Probability
To boost sales, the products are promoted by the marketing or sales staff. To determine whether a particular product is selling well or not on the market, they use the probability technique. The probability technique aids in future business forecasting.
 Probability in Insurance: Application
The premiums or policies that insurance firms offer to people, automobiles, and other entities are based on future projections. Theoretical probability or the theory of probability is typically used by insurance firms to define a specific policy and finish the policy at the premium rate. The fundamental focus of theoretical probability is the likelihood that an event, or something to happen, will really occur.
 Use of Probability in Medicine
Patients receive medications from doctors to help them recover from illnesses and strengthen their immune systems. Doctors prefer to use the probability technique to determine the patient’s risk factors. In addition to using the notion of probability when prescribing medications, doctors also use it to predict how long it will take for a patient to recover, among other things.
 Biological Applications of Probability
The analysis of the unusual phenomenon employs the probability technique.
What Is Normal Distribution Formula?
The most important continuous probability distribution in probability and Statistics is the Normal Distribution Formula, which is also known as the Bell Curve or the Gaussian Distribution. Numerous interesting random variables in Physical Science and Economics are either exactly or nearly characterised by the Normal Distribution Formula. Other probability distributions can also be approximated using the Normal Distribution Formula.
The values of the random variables that adhere to the Normal Distribution Formula can take on any known value within a specific range.
Examples using Normal Distribution Formula
Students can solve example questions of Normal Distribution Formula using the resources provided by Extramarks. The Normal Distribution Formula must be prepared by students by solving a lot of questions. If students face any difficulty in solving questions of the Normal Distribution Formula, they can use the various resources available on the website and mobile application of Extramarks. The Normal Distribution Formula is an important mathematical concept and must be studied carefully by learners.
FAQs (Frequently Asked Questions)
1. What is the Normal Distribution Formula?
The most important continuous probability distribution in probability and Statistics is the Normal Distribution Formula, which is also known as the Bell Curve or the Gaussian Distribution. Numerous interesting random variables in Physical Science and Economics are either exactly or nearly characterised by the Normal Distribution Formula.
2. How can students download the notes provided by Extramarks on the Normal Distribution Formula?
Students can download all notes provided by Extramarks from their website and mobile application in PDF format.