variance
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variance
A measure in statistics that describes the dispersion of data values around their mean. It is the square of the standard deviation.
Die Analyse ergab eine hohe Varianz in den Testergebnissen der Gruppe.
The analysis showed a high variance in the group's test results.
'Varianz' (variance) belongs to the word family of 'variieren' (to vary, change, alternate) and 'die Variante' (the variant). All of these words have the Latin root for 'different' or 'changeable'.
Die Preise für das Produkt variieren je nach Anbieter stark.
The prices for the product vary greatly depending on the provider.
You can recognize the statistical meaning from words like 'Daten' (data), 'Mittelwert' (mean), or 'berechnen' (to calculate). The more general meaning of deviation is often used in connection with comparisons of opinions, reports, or statements.
Für die Studie müssen wir die Varianz der Messwerte berechnen.
For the study, we have to calculate the variance of the measured values.
In statistics, 'Varianz' (variance) is a precisely defined technical term. Outside this field, the word is rarely used with this precise mathematical meaning.
Im Statistikkurs lernen wir, wie man die Varianz und die Standardabweichung ermittelt.
In statistics class, we learn how to determine variance and standard deviation.
In the meaning of 'Abweichung' (deviation), the preposition 'zwischen' (between) is often used to name the things that do not agree: 'die Varianz zwischen A und B' (the variance between A and B).
Die Varianz zwischen dem Plan und der Realität war überraschend groß.
The variance between the plan and reality was surprisingly large.
difference
'die Differenz' and 'die Varianz' can both have to do with differences between values. 'Differenz' usually means the direct difference between two numbers or values. 'Varianz' is used especially in statistics when describing how strongly many values are spread around a mean. In a more general sense, 'Varianz' can also mean a deviation between things, but it sounds much more technical. The words can be confused because both have to do with deviations. As a guide: two values have a 'Differenz'; many data values can have a high or low 'Varianz'.
In der Statistikaufgabe berechnet Mehmet die Varianz der Testergebnisse.
In the statistics exercise, Mehmet calculates the variance of the test results.
Die Differenz zwischen den beiden Messungen ist kleiner als erwartet.
The difference between the two measurements is smaller than expected.