Core - Statistics

Chapter 3

Measure of Central Tendency

3.1 : What is Central Tendency?

3.1 : What is Central Tendency?

Descriptive statistics describe or summarize relevant characteristics of a sample and aid in the analysis of data of interest. When analyzing large ...

3.2 : Arithmetic Mean

3.2 : Arithmetic Mean

The arithmetic mean is the most commonly used measure of the central tendency of a data set. It is defined as the sum of all the elements constituting the ...

3.3 : Geometric Mean

3.3 : Geometric Mean

The mean is a measure of the central tendency of a data set. In some data sets, the data is inherently multiplicative, and the arithmetic mean is not ...

3.4 : Harmonic Mean

3.4 : Harmonic Mean

The arithmetic mean is usually skewed towards the larger values in the data set. Therefore, to avoid this inherent bias towards smaller values, the ...

3.5 : Trimmed Mean

3.5 : Trimmed Mean

While measuring the mean of a data set, care needs to be taken when associating the mean to its central tendency. The same goes for the arithmetic mean, ...

3.6 : Weighted Mean

3.6 : Weighted Mean

While taking the arithmetic, geometric, or harmonic mean of a sample data set, equal importance is assigned to all the data points. However, all the ...

3.7 : Root Mean Square

3.7 : Root Mean Square

If in an experiment, data values have a probability of being both positive and negative, neither the arithmetic mean, the geometric mean, nor the harmonic ...

3.8 : Mean From a Frequency Distribution

3.8 : Mean From a Frequency Distribution

Sometimes, data gathered from an experiment on a large sample or population are organized into concise tables. In such cases, the frequency of the ...

3.9 : What is a Mode?

3.9 : What is a Mode?

The mode is one of the commonly used measures of a central tendency. It is defined as the most frequent value in a data set. There can be more than one ...

3.10 : Median

Besides mean, the median is a widely used measure of central tendency. Typically, median is defined as the central or middle value of a data set, measured ...

3.11 : Midrange

3.11 : Midrange

A somewhat easy to compute quantitative estimate of a data set’s central tendency is its midrange, which is defined as the mean of the minimum and ...

3.12 : Skewness

3.12 : Skewness

The measures of central tendency calculated from a data set may not reveal much about its intrinsic distribution. If a plot is made of the data ...

3.13 : Types of Skewness

3.13 : Types of Skewness

If the frequency distribution of a data set is more inclined towards smaller or larger values, the distribution is said to be skewed. If data values are ...

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