Probability and Statistics

Harmonic Mean Formula

Harmonic Mean is one of the measures of central tendency and dispersion. Generally known as mathematical averages, a Mean can be subdivided into Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM). Harmonic Mean is used to calculate the average of speed; for example, if we want to find the average speed of a […]

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

Harmonic Mean for Grouped Data

Harmonic mean can be defined as the reciprocal of the arithmetic mean of the reciprocal of the observations. When data is collected in its original form, it is called raw data or ungrouped data. A frequency distribution is the organisation of raw data in table form using classes and frequencies. This process of organising the

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

Harmonic Mean Definition and Formula

The harmonic mean is a type of numerical average. It’s determined by multiplying the number of observations by the reciprocal of each series number. As a result, the harmonic mean is the reciprocal of the reciprocal arithmetic mean. Harmonic Mean Definition The reciprocal of the average of the reciprocals of the data values is the

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

Harmonic Mean

Harmonic Mean is one of the measures of average calculation. Harmonic Mean is the reciprocal of the Arithmetic Mean of the reciprocals. Just like Arithmetic Mean, Harmonic Mean is very simple to calculate. The Harmonic mean of given numbers is equal to the number of observations divided by the sum of reciprocal of the given

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

Grouping Data

Statistics is the study of data collection, presentation, analysis, and interpretation. The government’s demand for census data and information on a range of economic operations fueled much of the early interest in statistics. The contemporary need to turn huge amounts of data available in a range of applied sectors into useful information has prompted both

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

Geometric Mean: Definition, Formula, Calculation

By taking the root of the product of their values, the Geometric Mean (GM) represents the central tendency of a set of numbers. Basically, we add all of the ‘n’ values together and subtract the nth root, where n is the total number of values. For example, the geometric mean of a pair of numbers such

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

Frequency Polygons

Frequency polygons are the graphical depiction of data distribution that uses a certain form to better comprehend the data. Frequency polygons are similar to histograms in appearance, but they are more useful for comparing two or more data sets. In the form of a line graph, the graph primarily displays cumulative frequency distribution data. DEFINITION:-

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

FREQUENCY DISTRIBUTION TABLE

The frequency of each data set is grouped in a frequency distribution table. It aids in the discovery of patterns in data as well as the analysis of data using measures of central tendency and variance. The first thing a mathematician does with the information he or she has gathered is organized it into a

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

Formula of Covariance and Correlation

Any measurement that is made in an experiment is to detect a change. Without change, there is no meaning to experimenting. Similarly, the world is governed by formulas of classical mechanics that are based on changes in variables. Understanding the change that occurs in a variable based on the changes in another variable is an

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics

Central tendency

Introduction  In statistics, the central tendency measure is defined as the number that is used to represent the center or middle of a collection of data values. The mean, the median, and the mode are the three most widely used metrics of central tendency. The measure of dispersion is a statistic that shows us how

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Class 12, IIT JEE, Maths, Measures of central tendency, Probability and Statistics