To determine the distribution mode of a certain species of crickets, 200 quadrat

Question

To determine the distribution mode of a certain species of crickets, 200 quadrats were randomly established in a field known to be their habitat. The number of crickets found in each quadrat is found in the frequency distribution below. a. Calculate the mean number of crickets per quad. b. Calculate the variation in the number of crickets per quad c. Calculate a statistics that will allow one to compare if the variation in crickets per grid differed from another species of crickets two states away.

Explanation / Answer

b. Let no. of crickets per squad = X

V(X)=E(X2) - [E(X)]2

E(X2)=02*(98/200) + 12*(52/200) + 22*(28/200) + 32*(22/200)

= 52/200 + 112/200 + 198/200

=362/200

=1.81

[E(X)]2=[174/500]2=0.7569

V(X)=1.81-0.7569

=1.0531

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