mean / average
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mean / average
A statistical value that represents the center or average of a series of numbers. Most commonly, it refers to the arithmetic mean, which is calculated by dividing the sum of the values by their number.
Der Mittelwert der täglichen Temperaturen im Juli lag bei 22 Grad Celsius.
The mean of the daily temperatures in July was 22 degrees Celsius.
This word is clearly composed of 'die Mitte' (the middle) and 'der Wert' (the value). So it literally describes the 'value in the middle' or the average value of a data series.
Um den Mittelwert zu finden, addiert man alle Zahlen und teilt sie durch ihre Anzahl.
To find the mean, you add all the numbers and divide them by their number.
Common verbs used with 'Mittelwert' (mean/average) are 'berechnen' (to calculate), 'ermitteln' (to determine), 'betragen' (to amount to), and 'liegen bei' (to be at). These help express statistical information.
Können Sie bitte den Mittelwert dieser Messungen berechnen?
Could you please calculate the mean of these measurements?
Although the term comes from mathematics, it is often used in everyday life to talk about average values, for example with grades, prices, temperatures, or speeds.
Der Mittelwert meiner Schulnoten hat sich dieses Jahr verbessert.
The average of my school grades has improved this year.
average / cross-section
Durchschnitt and Mittelwert can both refer to the arithmetic average of a series of numbers. Mittelwert is the more precise statistical term, especially in technical contexts, while Durchschnitt can also generally describe a typical or middle level. When a clear numerical calculation is involved, both words are possible.
Der Mittelwert der fünf Messwerte liegt bei 20.
The mean of the five measurements is 20.
Der Durchschnitt der fünf Messwerte liegt bei 20.
The average of the five measurements is 20.
