In estimating the parameters of a population of students categorized by year in school, which of the following estimators is the most nonbiased?
A) Mean
B) Median
C) Standard deviation
D) Variance

Question

Quizplus · Accepted Answer

Categories of year in school (freshman, sophomore, junior, and senior) indicate ordinal data. The median is the most appropriate measure of central tendency for ordinal data.
Year in school is ordinal data; a mean cannot be calculated on ordinal data. Categories of year in school (freshman, sophomore, junior, and senior) indicate ordinal data. The median is the most appropriate measure of central tendency for ordinal data.
Standard deviation requires at least interval level data for calculation. Categories of year in school (freshman, sophomore, junior, and senior) indicate ordinal data. The median is the most appropriate measure of central tendency for ordinal data.
Variance requires at least interval level data for calculation. Categories of year in school (freshman, sophomore, junior, and senior) indicate ordinal data. The median is the most appropriate measure of central tendency for ordinal data.

In Estimating the Parameters of a Population of Students Categorized