Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A plot of grassland has four species of plant. They have , , and plants. (Simpson's index is not in the NEET syllabus, but A-Level and IB use it.)
Genetic diversity is the variety inside one species. Species diversity is the variety of species in a region. Ecological diversity is the variety of ecosystems. Simpson's index of diversity is , where is the count of one species and is the count of all (not in the NEET syllabus).
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. Counts , , , . .
Plan. Use .
Step 1. (a) There are species, so the richness is .
Step 2. (b) The shares are , , and . The squares are , , and . Their sum is . So .
Step 3. (c) Four equal shares of give a sum of . So .
Answer: species; ; .
Check. The index is the highest for equal shares, and the real plot is a little lower.
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