der
Durchschnittswert
📊 What does "der Durchschnittswert" mean?
The German noun Durchschnittswert refers to the 'average value' or 'mean'. It's calculated by summing up several numbers or quantities and then dividing by the count of those numbers or quantities. It's a key term in statistics and mathematics, but also used in everyday language to indicate a typical or central value.
The word is masculine, so the correct article is der Durchschnittswert.
📐 Grammar and Declension of Durchschnittswert
The noun "Durchschnittswert" is masculine. Here are the declension tables:
Case | Definite Article | Indefinite Article | Noun |
---|---|---|---|
Nominative | der | ein | Durchschnittswert |
Genitive | des | eines | Durchschnittswert(e)s |
Dative | dem | einem | Durchschnittswert(e) |
Accusative | den | einen | Durchschnittswert |
Case | Definite Article | Indefinite Article | Noun |
---|---|---|---|
Nominative | die | keine / einige | Durchschnittswerte |
Genitive | der | keiner / einiger | Durchschnittswerte |
Dative | den | keinen / einigen | Durchschnittswerten |
Accusative | die | keine / einige | Durchschnittswerte |
📝 Example Sentences
- Der Durchschnittswert der Testergebnisse lag bei 75 Punkten.
(The average value of the test results was 75 points.) - Wir müssen den Durchschnittswert des monatlichen Verbrauchs berechnen.
(We need to calculate the average value of the monthly consumption.) - Die Qualität schwankt stark um den Durchschnittswert.
(The quality fluctuates significantly around the average value.) - Die Statistik zeigt verschiedene Durchschnittswerte für unterschiedliche Regionen.
(The statistics show different average values for different regions.)
💡 Usage in Daily Life and Specific Contexts
"Der Durchschnittswert" is frequently used in:
- Statistics and Mathematics: To describe data sets (e.g., Durchschnittseinkommen - average income, Durchschnittstemperatur - average temperature).
- Science: To state mean measurement results or key figures.
- Everyday Life: To describe a typical value (e.g., durchschnittliche Wartezeit - average waiting time, durchschnittlicher Preis - average price).
- Technical Fields: For average performance or quality specifications.
It's important to note that the Durchschnittswert can be influenced by outliers (extremely high or low values). In such cases, the Median (median) might be more informative.
🧠 Mnemonics to Remember
Article: Think of "der Wert" (the value). The word "Wert" is masculine, and "Durchschnittswert" is a type of value, so it's also der Durchschnittswert.
Meaning: Imagine you have many values and you draw a line right through the middle – you're finding the 'cut' or Schnitt. The result is the 'average value' or Durchschnitts-Wert.
🔄 Similar and Opposite: Synonyms & Antonyms
Synonyms (Similar Meaning)
- Mittelwert: Often used synonymously, emphasizes the mathematical aspect ('mean value').
- Mittel: A shorter, more general form ('mean', 'average', e.g., "im Mittel" - on average).
- Durchschnitt: The base word, often interchangeable ('average').
⚠️ Caution: Don't confuse it with the Median (the value exactly in the middle of a sorted data series) or the Modalwert (the most frequent value).
😄 A Little Joke
Warum ist der Durchschnittswert selten allein?
Weil er immer Gesellschaft von vielen anderen Werten hat, die ihn bestimmen! 😄
(Why is the average value rarely alone?
Because it always has the company of many other values that determine it!)
📜 A Little Poem
Mal hoch, mal tief, die Zahlen springen,
ein Wirrwarr, das sie mit sich bringen.
Doch teilt man Summe durch die Zahl,
erhält man ihn – ganz ohne Qual:
Den Durchschnittswert, so klar und rein,
ein Mittelmaß, nicht groß, nicht klein.
(Sometimes high, sometimes low, the numbers jump,
A confusion that they bring along.
But divide the sum by the count,
You get it – without any struggle:
The average value, so clear and pure,
A middle measure, not big, not small.)
❓ Riddle Time
Ich bin kein Maximum, kein Minimum,
steh' oft in der Statistik stumm.
Ich zeige, was im Mittel liegt,
wenn man die Summe teilt und wiegt.
Wer bin ich? 🤔
... Der Durchschnittswert
(I am no maximum, no minimum,
I often stand silent in statistics.
I show what lies in the middle,
When you divide the sum and weigh it.
Who am I? 🤔
... The Average Value (der Durchschnittswert))
🧩 More Tidbits about Durchschnittswert
Word Composition:
The word "Durchschnittswert" is a compound noun, composed of:
- Durchschnitt (average, mean; from "durchschneiden" - to cut through)
- Wert (value)
So it literally describes the 'value of the average'.
Use in Various Fields:
The term is fundamental in many disciplines such as economics (e.g., average GDP), social sciences (e.g., average household size), meteorology (e.g., average annual temperature), and many more.
📝 Summary: is it der, die or das Durchschnittswert?
The word 'Durchschnittswert' is masculine, so the correct article is der Durchschnittswert. It translates to 'average value' or 'mean'.