Variability Summary - Data Analysis

Summary

This document summarizes variability, deviation, and variance, important concepts related to data analysis. It defines each measure, provides formulas, and explains their relationship. The key takeaway is the measure of the spread between scores.

Full Transcript

Variability summary: Variability is the measure of spread between scores. Ways of measuring: +-----------------+-----------------+-----------------+-----------------+ | **Range** | **Deviation** | **Variance** | | +=================+=================+=================+=...

Variability summary: Variability is the measure of spread between scores. Ways of measuring: +-----------------+-----------------+-----------------+-----------------+ | **Range** | **Deviation** | **Variance** | | +=================+=================+=================+=================+ | Ignores data | Distance of a | Average of | | | set but only | score from the | variability. | | | two. | mean. | | | | | | More | | | | \*\*Deviation | specifically | | | | is reverse of | average of sum | | | | variance | of squares. | | +-----------------+-----------------+-----------------+-----------------+ | Formula: | Formula: | Formula: | | | | | | | | Range= Highest | Sum of squares: | Variance = | | | -- Lowest | (SS) | S\^2= SS/N-1 | | | | | | | | | Sum of | \*\*Radical of | | | | deviations give | S\^2 = standard | | | | the | deviation | | | | variability. | | | | | | | | | | Deviation = (X- | | | | | | | | | | Variability = | | | | | (score -- | | | | | mean)\^2 + | | | | | (score 2 -- | | | | | mean2)\^2... | | | | | | | | | | Mean sample = | | | | | | | | | | Mean population | | | | | = | | | | | | | | | | Score = X | | | +-----------------+-----------------+-----------------+-----------------+ Deviation: Variance: ![](media/image6.png)

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