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GRADE 12 – Unit 3: Statistics
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Measures of Relative Dispersion

 

Relative dispersion measures are used to compare the variability of different datasets. They are dimensionless, allowing for a better comparison of datasets with different units or magnitudes.

 

  • Coefficient of Range (CR)

The coefficient of range is defined as:

CR=LSL+SCR = frac{L – S}{L + S}

Where LL is the largest value and SS is the smallest value.

 

  • Coefficient of Quartile Deviation (CQD)

The coefficient of quartile deviation is defined as:

CQD=Q3Q1Q3+Q1CQD = frac{Q_3 – Q_1}{Q_3 + Q_1}

  • Coefficient of Mean Deviation (CMD)

The coefficient of mean deviation is calculated by dividing the mean deviation by the mean:

CMD=MDxˉCMD = frac{MD}{bar{x}}

  • Coefficient of Variation (CV)

The coefficient of variation is calculated by dividing the standard deviation by the mean and multiplying by 100 to express it as a percentage:

CV=σxˉ×100CV = frac{sigma}{bar{x}} times 100

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