Measures of central tendency

Calculating Variance, Mean & Standard Deviation of Grouped and Ungrouped Data

Introduction We will learn how to calculate the mean, variance, and standard deviation of grouped and ungrouped data. The variance calculator can be used to calculate the variance, standard deviation, and mean from a set of data with the sample size n to understand how far the observations deviate from the mean. The deviations can […]

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

Calculating Variance, Mean, and Standard Deviation Of Grouped/Ungrouped Data

Introduction We will learn how to calculate the mean, variance, and standard deviation of grouped and ungrouped data. The variance calculator can be used to calculate the variance, standard deviation, and mean from a set of data with the sample size n to understand how far the observations deviate from the mean. The deviations can

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

Calculation of mean & median

The average, median, and mode The mean, median, and mode are considered measures of central tendency. They are referred to as statistical averages in certain areas. They are tasked with representing all of the values in a particular piece of data in a mathematical form. Starting with what is mean and what is median, in

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

Calculation of mode

Mode formula in statistics refers to the data value that appears the most often. The mode or modal value refers to the data collection value or number that occurs the most often or with a high frequency of occurrence. Along with the mean and median, it is one of three central tendency metrics used. As

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

Calculation Of Standard Deviation

Surprisingly, no statistician would ever compute standard deviation by hand in the real world. The computations are difficult, and there is a considerable possibility of error. Calculating by hand is also time-consuming. It is extremely slow. This is why statisticians use spreadsheets and computer tools to crunch statistics. So, what is the purpose of this

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

Central limit theorem Statement

In the theory of probability, the CLT, i.e., the central limit theorem defines the distribution of a sample variable that approaches an ordinary distribution (bell curve) as the sample size becomes bigger, supposing that all the samples are similar or equivalent in size, as well as not considering the actual shape of the population.  Additionally,

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

Characteristics of Arithmetic Mean

The observations based on any test conducted–be it any experiment for reading the changes in value–can be noted to vary between a range. The value for each experiment may not be identical. These values may be noted to be within a range of numbers. Thus, the range may not be useful for all scenarios. Few

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

Chi Square Test

A statistical approach for determining the difference between observed and predicted data is the Chi-Square test. This test can also be performed to see if it corresponds with our data’s categorical variables. It can be used to determine whether a discrepancy between two category variables is due to chance or is the result of a

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

Coefficient of Determination

In statistical analysis, the coefficient of determination technique is used to forecast and explain a model’s future outcomes. R squared is another name for this approach. This method also serves as a guideline for determining the model’s correctness. Let us look at the definition, formula, and attributes of the coefficient of determination in depth in

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

CONTINUOUS FREQUENCY DISTRIBUTION

In statistics, the Frequency distribution is a continuous arrangement of the values that one or more variables take in a sample. When you write some entry in the table it contains the frequency within a particular interval. Measure of central tendency is used to summarise the data. It specifies the single most representative value to

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