Statistics: estimating population size using order statistics

The tutor demonstrates a way to estimate population size from three serial numbers.

Imagine you walk into a room after a convention. The participants had been given, not name tags, but number tags. You find three tags: 21, 225, and 301. Estimate how many people attended.

Solution:

The estimation of N, the population size, is given by

N = ((n+1)*xm/n) – 1, where

n = sample size (3, in this case)

xm = maximum serial number retrieved (301, in this case)

Our result is

N = ((3+1)*301/3) – 1 = 400.33 or 400 people.

Source:

www.ijsr.net

Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.

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