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MEASUREMENT OF DISPERSION

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Measures of dispersion are statistical tools used to show how spread out or scattered a set of data is around a central value (mean, median, or mode). Measures of dispersion tells us how reliable or varied that value is. Importance of Dispersion Shows the variability of data Helps determine the consistency of performance Enables comparison between groups Assists in decision-making and evaluation Indicates reliability of the mean Types of Measures of Dispersion 1. Range The simplest measure of dispersion. Formula: Highest number - Lowest number  Example: (It'll be done in class) Advantages Easy to calculate Quick estimate of spread Disadvantages  Uses only two values Not very reliable 2. Quartile Deviation (Semi-Interquartile Range) It measures the spread of the middle 50% of data. Formula: Q3-Q1/2 Where: Q1 = First quartile Q3 = Third quartile Advantages  Not affected by extreme values More reliable than range Disadvantage 1. Ignores half of the data 3. Mean Deviation (Av...