Step 1: Understanding the Question:
The Nutrient Index Value (NIV) is a way of scoring how fertile a set of soil samples is, using a weighted count of how many samples fall in the low, medium, and high nutrient categories. We need to know which band of NIV values counts as medium fertility.
Step 2: Key Formula or Approach:
NIV is calculated as:
\[ NIV = \frac{(N_L \times 1) + (N_M \times 2) + (N_H \times 3)}{N} \]
where \(N_L, N_M, N_H\) are the number of samples tested low, medium, and high, and \(N\) is the total number of samples. Because of this weighting, NIV can only range from 1 (every sample low) to 3 (every sample high).
Step 3: Detailed Explanation:
Values close to 1 mean most samples are low in that nutrient, and values close to 3 mean most are high.
The medium fertility class sits in the middle stretch of this 1 to 3 scale, and soil fertility mapping practice places this medium band at 1.5 to 2.5.
Option 1 (0.5-1.0) falls below the possible range of the index altogether, so it cannot be right. Option 2 (1.0-1.5) and option 3 (1.5-2.0) both describe bands that are narrower than, or shifted below, the accepted medium range.
Step 4: Final Answer:
The NIV band for medium nutrient status is 1.5 to 2.5.
\[ \boxed{1.5-2.5} \]