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UNIVARIATE STATISTICAL MEASURES

freddy pulgarin

Created on September 29, 2023

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Transcript

Univariate statistical measures

Arithmetic Mean

Range

Measures of dispersion

Measures of central tendency

Mode

Standard Deviation

Median

Variance

Coefficient of Variation

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The coefficient of variation, often abbreviated as CV, is a measure of relative variability. It is calculated as the standard deviation divided by the mean and is expressed as a percentage. The CV is used to compare the variability of datasets with different units or scales and provides a relative measure of dispersion.

Measures of dispersion provide information about the variation of the variable. They aim to summarize the dispersion within a dataset in a single value.

The median is the middle value in a dataset when the values are ordered from lowest to highest. If there is an even number of data points, the median is the average of the two middle values. The median is a measure of central tendency that is less affected by extreme values (outliers) than the mean.

The mode is the value that appears most frequently in a dataset. It is the most common value in the set. A dataset can have one mode (unimodal), multiple modes (multimodal), or no mode at all. The mode is a measure of central tendency that describes the most frequent observation in the data.

The standard deviation is a measure of the average amount by which data points in a dataset deviate from the mean. It is the square root of the variance and provides a standardized way to understand the spread of data.

Variance measures how data points in a dataset vary from the mean. It is calculated by taking the average of the squared differences between each data point and the mean. Variance quantifies the spread or dispersion of data.

The arithmetic mean, often simply referred to as the mean, is the sum of a set of numbers divided by the count of numbers in the set. It is a measure of central tendency that represents the average value of a dataset.

Measures of central tendency are values that are located at the center of a dataset arranged in ascending order of magnitude.

The range is the difference between the maximum and minimum values in a dataset. It provides a measure of the spread or dispersion of data points in a dataset.