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List of top Mathematics and Quantitative Ecology Questions on Descriptive statistics asked in GATE EY

The table below gives the abundance of species 1 to 10 in three communities, P, Q, and R, each with a total of 100 individuals. Simpson's diversity index for a community is
\[ D = 1 - \sum_i p_i^2, \] where \(p_i\) is the proportion of individuals in the community belonging to the \(i^{th}\) species.
SpeciesCommunity PCommunity QCommunity R
1694570
2184321
3544
4435
5110
6110
7001
8110
9001
10110

Which one of the following statements is true about the comparison of Simpson's index between these communities?
  • GATE EY - 2026
  • GATE EY
  • Mathematics and Quantitative Ecology
  • Descriptive statistics

The frequency distributions of a trait in two populations, X and Y, are shown in the figure.

 

Which one of the following statements about the mean and standard deviation (SD) of the two populations is accurate?

  • GATE EY - 2021
  • GATE EY
  • Mathematics and Quantitative Ecology
  • Descriptive statistics