C1 Expression Very Formal 3 min read

Werte jenseits von ±3 Standardabweichungen wurden

Values beyond ±3 standard deviations were

Literally: Values beyond of ±3 standard deviations were

In 15 Seconds

  • Statistical term for identifying extreme outliers in a dataset.
  • Used in formal reports to explain data cleaning processes.
  • Signals high-level academic rigor and professional data handling.

Meaning

This phrase is used in statistics to describe data points that are extreme outliers, falling far outside the normal range. It's like saying something is so weird or rare that it doesn't fit the usual pattern.

Key Examples

3 of 6
1

Writing a scientific paper

Werte jenseits von ±3 Standardabweichungen wurden aus dem Datensatz entfernt.

Values beyond ±3 standard deviations were removed from the dataset.

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2

Presenting a business report

Werte jenseits von ±3 Standardabweichungen wurden als Messfehler interpretiert.

Values beyond ±3 standard deviations were interpreted as measurement errors.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
3

Quality control in a factory

Werte jenseits von ±3 Standardabweichungen wurden sofort aussortiert.

Values beyond ±3 standard deviations were immediately sorted out.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
🌍

Cultural Background

Precision is paramount. Using '±3' instead of just '3' shows you understand that outliers can be both too high and too low. The Swiss 'Six Sigma' approach in watchmaking and precision tools often makes '3-sigma' look like a loose standard. The phrase is often associated with the American management strategy 'Six Sigma', which was adopted by many German DAX companies. This is a 'lingua franca' of science. No matter the country, '3-sigma' means the same thing to a physicist.

🎯

Use Passive Voice

In German science, the passive voice ('wurden') is much more common than 'wir haben'.

⚠️

Don't over-pluralize

It's '±3 Standardabweichungen' (plural), but 'eine Standardabweichung' (singular).

In 15 Seconds

  • Statistical term for identifying extreme outliers in a dataset.
  • Used in formal reports to explain data cleaning processes.
  • Signals high-level academic rigor and professional data handling.

What It Means

This phrase is the bread and butter of data analysts and scientists. It refers to the 'Three-Sigma Rule' in a normal distribution. Imagine a bell-shaped curve where most things happen in the middle. These values are the weird ones at the very edges. They represent less than 0.3% of all possible data. When you use this phrase, you are talking about the true exceptions. You are identifying things that are mathematically unusual. It is a very precise way to say 'outliers.'

How To Use It

You will almost always find this phrase in a passive sentence. It usually starts a sentence to explain how data was cleaned. You follow it with a past participle like ausgeschlossen (excluded). Or you might use identifiziert (identified) or gelöscht (deleted). It sounds very clinical and objective. You are telling your audience that you are being rigorous. You aren't just guessing; you are using math. It is a heavy-duty phrase for serious analytical work.

When To Use It

Use this when you are writing a formal report. It is perfect for a Master’s thesis or a PhD paper. If you are presenting quarterly results at a big company, use it. It shows you have done your homework. It’s great for quality control discussions in a factory. If a machine produces a part that is way too big, this is your phrase. It makes you sound like a high-level expert. Even in a serious meeting, it commands respect.

When NOT To Use It

Do not use this while buying bread at the bakery. It is far too technical for daily life. Don't use it to describe your weird cousin at a wedding. People will think you are a robot or a calculator. Avoid it in casual texts with friends unless you're joking. It’s too formal for a quick chat over coffee. If you use it wrongly, you might sound arrogant. Keep it in the lab or the office.

Cultural Background

Germany is famous for its love of engineering and precision. This phrase perfectly captures the spirit of Gründlichkeit (thoroughness). In German culture, being 'approximate' is often not good enough. We like to have clear rules for what stays and what goes. Using statistical terms in business is very common in Germany. It reflects a culture that values data over gut feelings. It’s about being 'punktgenau' or precisely on point.

Common Variations

You might hear people say Werte außerhalb des Drei-Sigma-Intervalls. This is the exact same thing but sounds even more 'mathy.' Another variation is extreme Ausreißer wurden entfernt. This is slightly less technical but still very formal. Some might say Werte jenseits der dreifachen Standardabweichung. All these phrases serve the same purpose in a report. They all signal that you are filtering out the noise.

Usage Notes

This is a high-register academic fragment. It is almost exclusively used in written reports or formal presentations. Ensure the verb at the end of the sentence is in the past participle form to complete the passive construction.

🎯

Use Passive Voice

In German science, the passive voice ('wurden') is much more common than 'wir haben'.

⚠️

Don't over-pluralize

It's '±3 Standardabweichungen' (plural), but 'eine Standardabweichung' (singular).

Examples

6
#1 Writing a scientific paper
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Werte jenseits von ±3 Standardabweichungen wurden aus dem Datensatz entfernt.

Values beyond ±3 standard deviations were removed from the dataset.

Standard way to describe data cleaning in a thesis.

#2 Presenting a business report
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Werte jenseits von ±3 Standardabweichungen wurden als Messfehler interpretiert.

Values beyond ±3 standard deviations were interpreted as measurement errors.

Explaining why certain sales spikes were ignored.

#3 Quality control in a factory
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Werte jenseits von ±3 Standardabweichungen wurden sofort aussortiert.

Values beyond ±3 standard deviations were immediately sorted out.

Describing a mechanical sorting process for defective parts.

#4 Texting a fellow data scientist friend
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

Mein Stresslevel heute? Definitiv Werte jenseits von ±3 Standardabweichungen!

My stress level today? Definitely values beyond ±3 standard deviations!

Using technical jargon for a humorous effect.

#5 Discussing research methodology
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Warum wurden Werte jenseits von ±3 Standardabweichungen nicht separat analysiert?

Why were values beyond ±3 standard deviations not analyzed separately?

A critical question during an academic defense.

#6 Describing an extremely rare event
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Diese Marktschwankungen sind Werte jenseits von ±3 Standardabweichungen.

These market fluctuations are values beyond ±3 standard deviations.

Emphasizing how incredibly rare a stock market crash is.

Test Yourself

Füllen Sie die Lücke mit der richtigen Form von 'Standardabweichung'.

Werte jenseits von ±3 __________ wurden aus der Studie entfernt.

✓ Correct! ✗ Not quite. Correct answer: Standardabweichungen

The preposition 'von' requires the dative plural here.

Welches Verb passt am besten in einen wissenschaftlichen Bericht?

Werte jenseits von ±3 Standardabweichungen __________ .

✓ Correct! ✗ Not quite. Correct answer: wurden ausgeschlossen

'Ausgeschlossen' (excluded) is the most professional term for data analysis.

In welcher Situation ist dieser Satz angemessen?

Satz: 'Werte jenseits von ±3 Standardabweichungen wurden im Protokoll vermerkt.'

✓ Correct! ✗ Not quite. Correct answer: In einer wissenschaftlichen Publikation

This is a highly formal, technical phrase.

🎉 Score: /3

Visual Learning Aids

Practice Bank

3 exercises
Füllen Sie die Lücke mit der richtigen Form von 'Standardabweichung'. Fill Blank B2

Werte jenseits von ±3 __________ wurden aus der Studie entfernt.

✓ Correct! ✗ Not quite. Correct answer: Standardabweichungen

The preposition 'von' requires the dative plural here.

Welches Verb passt am besten in einen wissenschaftlichen Bericht? Choose C1

Werte jenseits von ±3 Standardabweichungen __________ .

✓ Correct! ✗ Not quite. Correct answer: wurden ausgeschlossen

'Ausgeschlossen' (excluded) is the most professional term for data analysis.

In welcher Situation ist dieser Satz angemessen? situation_matching B1

Satz: 'Werte jenseits von ±3 Standardabweichungen wurden im Protokoll vermerkt.'

✓ Correct! ✗ Not quite. Correct answer: In einer wissenschaftlichen Publikation

This is a highly formal, technical phrase.

🎉 Score: /3

Frequently Asked Questions

1 questions

No, in this specific context, it is the standard technical term for 'beyond a limit'.

Related Phrases

🔗

Im statistischen Mittel

contrast

On statistical average

🔗

Signifikanzniveau

similar

Level of significance

🔗

Ausreißer bereinigen

builds on

To clean outliers

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