Statistics: Median Concepts, Merits, and Demerits

A set of vocabulary flashcards covering the definition, characteristics, merits, and demerits of median based on the lecture notes.

Median

The magnitude of the exact middle term located after arranging the items of a series in ascending or descending order.

Equal Division Property

The property of the median by which it divides a series into two equal parts.

Resistance to Extreme Values

A merit of the median where extreme values at the ends of a series have no effect on its value.

Calculation with Unknown Boundary Values

A merit allowing the median to be found even if the initial and final term values are unknown, provided the total number of terms is known.

Qualitative Study Utility

The suitability of the median for qualitative studies, such as assessing students' morality.

Graphical Method for Median

The capability of finding or locating the median using curve-based graphical methods.

Series Rearrangement Requirement

A demerit of the median requiring a specific arrangement of the series in ascending or descending order before calculation.

Large Gap Limitation

A demerit where the median cannot properly represent a series if there are large gaps or differences between various terms.

Continuous Series Assumptions

The necessity of making assumptions when calculating the median for continuous series, which leads to incorrect calculations if assumptions change or contain errors.

Formula for $xla$

The computation $xla = 410 - 11.6 = 398.4$ presented in the notes.