
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
Margin of Error Formula
The Margin Of Error Formula is a statistic used to quantify the degree of random sampling error in survey findings. It states a probability that the outcome of a sample is likely to be close to the number one would obtain if the entire population had been questioned. The critical value multiplied by the standard deviation yields the Margin Of Error Formula. A larger error suggests a greater likelihood that the sample’s stated results do not accurately represent the population as a whole. The margin of error calculations are based on the assumption that the population is infinitely vast and do not take into account the population’s size N, but simply the sample size n. This presumption is reasonable when the sampling fraction is tiny, according to sampling theory. As long as the sampling fraction is small, the margin of error for a specific sampling method is generally the same whether the population of interest is the size of a school, city, state, or country. The Margin Of Error Formula is a crucial tool for market research since it shows the amount of assurance that should be placed in survey data by the researchers. The Margin Of Error Formula can be used to gauge how successful the survey was. Understanding this idea is crucial since it tells how much one can rely on survey results to accurately reflect the views of the general populace. To represent a much broader population (also known as the target market), a survey uses a smaller group of individuals (also known as survey respondents). With a larger margin, the survey results may deviate from the real opinions of the entire population. A narrower margin, on the other hand, suggests that the results are closer to the actual representation of the entire population, which increases trust in the survey.
Quick Links
ToggleWhat is the Margin of Error?
The Margin Of Error Formula is a statistical expression used to estimate how much a result will deviate from the value of the full population. By dividing the population’s standard deviation by the sample size and then multiplying the resulting number by the critical factor, the margin of error can be determined. The Margin Of Error Formula can be a telling number when it comes to examining career statistics, performing consumer polls and surveys, assessing employee questionnaires, and more. Therefore, knowing how to calculate margin of error and having an understanding of it is crucial for experts in any field. A confidence interval is a measure of how unpredictable a given statistic is. It is typically used in conjunction with the margin of error to indicate how confident a statistician is in determining whether or not the findings of an online survey or online poll are worthy of representing the full population. A lower margin of error denotes a higher degree of confidence in the obtained results. There will be some degree of uncertainty when one chooses a representative sample to estimate the entire population. The genuine statistic must be deduced from the sample statistic. This suggests that the estimate will be rather accurate. This estimate is improved further by taking the margin of error into account.
Margin of Error Formula
The Margin Of Error Formula is a statistic that describes how much random sampling error there is in survey results. One will have less faith that a poll’s findings would accurately reflect those of a population census when the Margin Of Error Formula is higher. When a population is sparsely sampled and the outcome measure has a positive variance, or when the measure fluctuates, the margin of error will be positive. In situations other than surveys, the term “margin of error” is frequently used to denote observational error when reporting observed values. Multiplying a critical factor (for a specific confidence level) and the population standard deviation yields the Margin Of Error Formula. The square root of the sample’s observational count is then used to divide the outcome. The ability to calculate margin of error requires a population that is clearly described. A “population” in statistics refers to all the members of the group that a researcher is interested in studying and about which data will be gathered. If the population is not defined or the sample selection method is improperly conducted, this error could be very high. Calculating the margin of error is necessary for each statistical survey that a researcher undertakes.
Solved Examples Using Margin of Error Formula
Solved examples on the Margin Of Error Formula are available for practice on the Extramarks platform.
FAQs (Frequently Asked Questions)
1. Where to find questions on the Margin Of Error Formula for practice?
Several questions along with their solutions on the Margin Of Error Formula are available on the Extramarks website and mobile application.
2. Where is the Margin Of Error Formula used?
The margin of error is used in surveys to indicate how closely survey results should be predicted to correspond to the true population number.