Question

Qnb.The number of snakes found in each of 100 sampling quadrats in an area were as follows:
Number of snakes, S 0 1 2 3 4 5 8 15
f = frequency of S 69 18 7 2 1 1 1 1

REQUIRED
Find the mean and variance of the number of snakes per sampling unit.
Determine whether or not the data fit the Poisson distribution. (4 Marks)

Answer 1

mean=(69*0+18*1+7*2+2*3+1*4+1*5+1*8+1*15)/100=0.7

sd=1.86677

variance=sd²=3.48

mean is not equal to its variance - this is not Poisson distribution