Interpret the result of coefficient of range if difference and sum of largest and smallest value of series are 25 and 85 respectively. GROUP: B Short answer questions 8 × 5 = 40

The coefficient of range is a measure of dispersion that indicates the relative spread of values in a dataset. It is calculated using the formula:

$$\text{Coefficient of Range}=\frac{\text{Range}}{\text{Sum of Largest and Smallest Values}}$$

Given:

• Difference between largest and smallest value (Range) = 25
• Sum of largest and smallest value = 85

Step 1: Calculate the coefficient of range. $$\text{Coefficient of Range}=\frac{25}{85}=0.2941\approx 0.294$$

Interpretation: The coefficient of range is 0.294, indicating that the dataset has a low dispersion relative to its range. This means the values in the series are closely clustered around the central values, showing less variability in the data. A lower coefficient suggests that the data points are not widely spread, implying homogeneity in the dataset.