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Core - Statistics

    Chapter 4

    Measures of Variation

    4.1 : What is Variation?01:14

    4.1 : What is Variation?

    Apart from the measures of central tendency, distribution, outliers, and the changing characteristics of data with time, an important characteristic of ...

    11.2K views
    4.2 : Range00:59

    4.2 : Range

    The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the ...

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    4.3 : Standard Deviation01:10

    4.3 : Standard Deviation

    The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The ...

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    4.4 : Standard Error of the Mean01:13

    4.4 : Standard Error of the Mean

    The sampling variability of a statistic is defined as how much the statistic varies from one sample to another. The sampling variability of a statistic is ...

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    4.5 : Calculating Standard Deviation01:08

    4.5 : Calculating Standard Deviation

    The standard deviation is the most common measure of variation. It is a value that tells us how far a data value is from the mean value in a dataset. ...

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    4.6 : Variance01:15

    4.6 : Variance

     The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative ...

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    4.7 : Coefficient of Variation01:10

    4.7 : Coefficient of Variation

    The coefficient of variation measures the dispersion of the data points or distribution around the mean. Using the coefficient of variation, we can ...

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    4.8 : Range Rule of Thumb to Interpret Standard Deviation01:13

    4.8 : Range Rule of Thumb to Interpret Standard Deviation

    The range rule of thumb in statistics helps us calculate a dataset's minimum and maximum values with known standard deviation. This rule is based on ...

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    4.9 : Empirical Method to Interpret Standard Deviation01:09

    4.9 : Empirical Method to Interpret Standard Deviation

    The empirical rule, also known as the three-sigma rule, allows a statistician to interpret the standard deviation in a normally distributed dataset. The ...

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    4.10 : Chebyshev's Theorem to Interpret Standard Deviation01:15

    4.10 : Chebyshev's Theorem to Interpret Standard Deviation

    Chebyshev’s theorem, also known as Chebyshev’s Inequality, states that the proportion of values of a dataset for K standard deviation is ...

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    4.11 : Mean Absolute Deviation01:13

    4.11 : Mean Absolute Deviation

    The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data ...

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