nummergjennomsnittlig

Nummergjennomsnittlig is a term used in Norwegian statistical literature to describe the arithmetic mean of a collection of numbers. It serves as a measure of central tendency and is commonly used to summarize data sets with a single representative value.

Definition and calculation: It is calculated by dividing the sum of all numeric observations by the number of observations: x̄ = (1/n) ∑_{i=1}^n x_i. If there are missing values, they are typically excluded from the calculation.

Example: For the numbers 3, 7, 9, the nummergjennomsnittlig is (3+7+9)/3 = 19/3 ≈ 6.33.

Relation to other concepts: The term corresponds to the arithmetic mean, often referred to in Norwegian as aritmetisk gjennomsnitt. It is denoted by x̄. It differs from the median or mode, and from the weighted mean, which incorporates a weighting factor for each observation.

Properties and limitations: The nummergjennomsnittlig is sensitive to extreme values; in skewed distributions, the median may provide a more robust sense of central tendency.

Applications: It is widely used in statistics, data analysis, finance, science and quality control to summarize large data sets with a single representative value.