Law Of Large Numbers, The

C1 16+

Pronunciation: /lɔː əv lɑːrdʒ ˈnʌmbərz ði/

Definitions of law of large numbers, the

noun a word that refers to a person, place, thing, event, substance, or quality

Example Sentences

A1 The law of large numbers states that as the sample size increases, the average of the sample will get closer to the true population mean.

A2 In statistics, the law of large numbers is a theorem that describes the result of performing the same experiment a large number of times.

B1 Understanding the law of large numbers is essential for making accurate predictions based on probability theory.

B2 The law of large numbers is a fundamental concept in probability theory that explains the long-term stability of random events.

C1 Statisticians rely on the law of large numbers to make inferences about populations based on sample data.

C2 The law of large numbers plays a crucial role in ensuring the reliability of statistical analyses in research studies.

adjective a word that describes or gives more information about a noun

Example Sentences

A1 The law of large numbers states that the more times an event is repeated, the more likely the average outcome will approach the expected value.

A2 In statistics, the law of large numbers is used to predict the long-term behavior of random events.

B1 Understanding the law of large numbers is crucial for making accurate predictions based on probability theory.

B2 The law of large numbers helps to explain why outcomes tend to stabilize and converge to the expected value over time.

C1 Statisticians rely on the law of large numbers to ensure that their conclusions are based on reliable data and not just random variation.

C2 When conducting experiments, researchers must take into account the implications of the law of large numbers to draw meaningful conclusions.

preposition a word that shows the relationship between a noun (or pronoun) and other words in a sentence

Example Sentences

A1 The law of large numbers, the more you practice, the better you will become.

A2 According to the law of large numbers, the more samples you have, the closer the average will be to the true value.

B1 Understanding the law of large numbers, the more data points you collect, the more reliable your conclusions will be.

B2 In statistical analysis, the law of large numbers states that with a large enough sample size, the average outcome will converge to the expected value.

C1 Researchers rely on the law of large numbers, the principle that as the sample size grows, the sample mean will approach the population mean.

C2 When conducting experiments, scientists take into account the law of large numbers, the theory that the average of a large number of independent trials will converge to the expected value.

article a word that is used to indicate whether a noun is specific or unspecific

Example Sentences

A1 The law of large numbers states that the more times an experiment is repeated, the closer the results will be to the expected outcome.

A2 According to the law of large numbers, if you flip a fair coin many times, the number of heads and tails will eventually even out.

B1 In statistics, the law of large numbers is used to predict the average outcome of a random event based on a large sample size.

B2 When conducting surveys, researchers rely on the law of large numbers to ensure that the results are representative of the entire population.

C1 Economists often apply the law of large numbers to analyze trends in financial markets and predict future outcomes with a high degree of accuracy.

C2 The law of large numbers is a fundamental concept in probability theory that underpins many statistical methods used in advanced research and analysis.

Examples of law of large numbers, the in a Sentence

formal The law of large numbers, a fundamental concept in probability theory, states that as the number of trials increases, the experimental probability of an event approaches the theoretical probability.

informal So basically, the law of large numbers says that the more times you try something, the closer your results will get to the expected outcome.

slang The law of large numbers is like saying the more you do something, the more likely you are to get the result you're aiming for.

figurative In life, the law of large numbers is like saying the more chances you take, the higher your chances of success become.

Grammatical Forms of law of large numbers, the

past tense

followed

plural

laws of large numbers, the

comparative

more laws of large numbers, the

superlative

most laws of large numbers, the

present tense

follow

future tense

will follow

perfect tense

have followed

continuous tense

is following

singular

law of large numbers, the

positive degree

law of large numbers, the

infinitive

to follow

gerund

following

participle

followed

Origin and Evolution of law of large numbers, the

First Known Use: 1713 year
Language of Origin: Latin
Story behind the word: The law of large numbers originated from the work of mathematicians like Jacob Bernoulli and Pierre-Simon Laplace in the 17th and 18th centuries.
Evolution of the word: Originally used to describe the tendency of large samples to reflect the true population parameters, the concept of the law of large numbers has evolved to encompass various applications in probability theory and statistics.