statistical dispersion

statistical dispersion (tsz. statistical dispersions)

1. (matematika) statisztikai szórás

Statistical dispersion refers to the extent to which a set of values varies or spreads out. It provides insights into the variability or diversity of the data set. Common measures of statistical dispersion include: 1. Range: The difference between the maximum and minimum values in a dataset. It gives a basic sense of spread but is sensitive to outliers. $${\displaystyle {\text{Range}}={\text{Maximum}}-{\text{Minimum}}}$$ 2. Variance: Measures the average squared deviation of each data point from the mean. A higher variance indicates a wider spread of values. $${\displaystyle {\text{Variance}}={\frac {1}{N}}\sum _{i=1}^{N}(x_{i}-\mu )^{2}}$$ where ${\textstyle N}$ is the number of observations, ${\textstyle x_{i}}$ is each value, and ${\textstyle \mu }$ is the mean. 3. Standard Deviation: The square root of the variance, providing a measure of dispersion in the same units as the data. It is more interpretable than variance. $${\displaystyle {\text{Standard Deviation}}={\sqrt {\text{Variance}}}}$$ 4. Interquartile Range (IQR): The range of the middle 50% of data, calculated as the difference between the first quartile (Q1) and the third quartile (Q3). It is less affected by outliers. $${\displaystyle {\text{IQR}}=Q3-Q1}$$ 5. Mean Absolute Deviation (MAD): The average of the absolute deviations from the mean, providing another measure of variability. $${\displaystyle {\text{MAD}}={\frac {1}{N}}\sum _{i=1}^{N}|x_{i}-\mu |}$$ Understanding these measures helps in analyzing data distributions, making comparisons, and drawing inferences.

• statistical dispersion - Szótár.net (en-hu)
• statistical dispersion - Sztaki (en-hu)
• statistical dispersion - Merriam–Webster
• statistical dispersion - Cambridge
• statistical dispersion - WordNet
• statistical dispersion - Яндекс (en-ru)
• statistical dispersion - Google (en-hu)
• statistical dispersion - Wikidata
• statistical dispersion - Wikipédia (angol)