Probability and Statistics

What are the merits and demerits 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

What are Periodicity and Variance

In the fields of probability and statistics, the concept of “variance” refers to the expected value of the squared deviation of a random variable from its mean value. In a more colloquial sense, the term “variance” refers to an estimation of the degree to which a random group of numbers deviates from their mean value.

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

Weighted Harmonic Mean

The harmonic mean is the reciprocal of the arithmetic mean of a set of data values. The weighted harmonic mean is a sub-unit of harmonic mean in which the sum of all weights are equal to one (or say 100%).  This material is about the weighted harmonic mean. You will find brief notes on the

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

Variance of ungrouped data

Ungrouped data refers to the data that one initially gathers from a study or an experiment. The said data is always raw. In other words, it is not sorted into any category, grouped, or otherwise classified. So, the ungrouped data is just a list of numbers. On the other hand, group data is the one

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

Variance Formulas for Ungrouped Data

Variance Formulas for Ungrouped Data is a kind of distribution in which information is delivered to each individual in its entirety. For example, a batsman’s scores in the last five matches are as follows: 45, 34, 2, 77, and 80 runs. Calculating the range and mean deviation from this data will help determine his general

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

Variance and Standard Deviation

The two most important measurements in statistics are variance and standard deviation. The standard deviation of statistical data is a measure of its distribution, whereas variance is a measure of how data points differ from the mean.The main distinction between variance and standard deviation is in the units they use. The variance is expressed in

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

Variance and mean deviation for ungrouped data

Introduction The variance is the measure of variability. The more spread in your data the larger the variance is in relationship with mean. Mean deviation is used to compute how far the values in a data set are from the center. Data are of two types: grouped data and ungrouped data. Grouped data is a

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

Variance and mean deviation for grouped data

 We use the dataset’s mean deviation to determine how far the data points are from the dataset’s centre. Mean, median, and mode are the three most important variables in the data-gathering process. That is to say, the mean deviation is used to compute the average absolute departure of the data from the distribution centre. The

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

Types of Statistics

Data types are crucial notions in statistics because they allow us to accurately apply statistical measurements to data and conclude certain assumptions about it. Because you can apply certain factual metrics only for specific data kinds, having a good understanding of the various data types is critical for Exploratory Data Analysis or EDA. Similarly, you

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

Types of Intervals in Maths and Their Significance

An interval consists of that range between two given numbers which includes all the numbers lying between those two numbers. And whether endpoints are included in the interval or not, that will depend on the type of interval. Types of Intervals Mainly intervals are of two types but the third type is formed with the

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