From a population of size 400, a random sample of 40 items is selected. The median of the sample
A)must be 200, since 400 divided by 2 is 200
B)must be 10, since 400 divided by 400 is 10
C)must be equal to the median of population, if the sample is truly random
D)None of these alternatives is correct.

Question

Quizplus · Accepted Answer

The median of a sample does not have to be equal to the median of the population, and the other statements are mathematically incorrect. The sample median is an estimate of the population median, but it can vary due to sampling variability.

From a Population of Size 400, a Random Sample of 40