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.
remedy / means
'das Mittel' and 'der Mittelwert' can both mean the average of numbers. In this mathematical sense, they are very similar. However, 'der Mittelwert' is clearer and sounds more natural especially in school, statistics, or when talking about measured values. 'das Mittel' has many other meanings, for example a medication or a method. That is why confusion can easily arise. If you are clearly talking about the average, 'der Mittelwert' is usually more precise.
Die Klasse berechnet den Mittelwert der Temperaturen aus der ganzen Woche.
The class calculates the mean of the temperatures from the whole week.
Das Mittel aus den drei Preisen liegt bei 20 Euro.
The average of the three prices is 20 euros.