C1 Expression Formal 8 min read

Variance was calculated as

Research methodology and reporting expression

In 15 Seconds

  • Explains the specific math method used.
  • Used in academic and professional reports.
  • Signals transparency and objective research.
  • Followed by a formula or description.

Meaning

This phrase is a formal way to explain the specific math recipe you used to measure 'spread' in your data. It tells your reader exactly how you turned a bunch of messy numbers into a single value that represents inconsistency. It carries a vibe of professional transparency and academic 'showing your work.'

Key Examples

3 of 10
1

Writing a Master's thesis

In this study, variance was calculated as the sum of squared deviations from the mean divided by the number of observations.

In this study, variance was calculated as the sum of squared deviations from the mean divided by the number of observations.

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2

Presenting quarterly sales figures

The regional sales variance was calculated as the difference between projected and actual revenue for each branch.

The regional sales variance was calculated as the difference between projected and actual revenue for each branch.

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3

Posting a coding tip on LinkedIn

When analyzing server latency, the variance was calculated as a rolling average to smooth out sudden spikes.

When analyzing server latency, the variance was calculated as a rolling average to smooth out sudden spikes.

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🌍

Cultural Background

The phrase `Variance was calculated as` emerged from the formalization of modern statistics in the early 20th century. As the scientific method became more rigorous, researchers needed standardized ways to report their data processing. This specific wording reflects the Western academic values of transparency, replicability, and objectivity. By using the passive voice, the researcher 'disappears,' allowing the data to speak for itself. It represents a cultural shift toward data-driven decision-making in everything from medicine to social policy.

🎯

The Passive Voice Power

Use the passive voice (`was calculated`) to sound more objective. It makes your research look unbiased because the 'person' is removed from the action.

⚠️

Variance vs. Variation

Don't say 'variation' if you are doing math. 'Variance' is a specific statistical term. Using 'variation' in a lab report will make you look like a beginner.

In 15 Seconds

  • Explains the specific math method used.
  • Used in academic and professional reports.
  • Signals transparency and objective research.
  • Followed by a formula or description.

What It Means

Ever noticed how two people can have the same average test score, but one gets 75 every time while the other alternates between 50 and 100? That 'gap' or 'chaos' is what we call variance. When you say Variance was calculated as, you are inviting your reader into your lab. You are saying, "I didn't just guess how messy this data was; I used this specific mathematical process." It is the verbal equivalent of a chef explaining exactly how they seasoned a dish. It sounds serious, precise, and a bit nerdy. But in the world of data, being a nerd is a superpower. This phrase removes any mystery from your results. It signals that you are following the rules of science. It also suggests that you are ready for someone to double-check your math. It has a vibe of high-level accountability. If statistics were a court case, this phrase would be your star witness.

How To Use It

You will almost always find this phrase in the 'Methodology' or 'Results' section of a report. Because it uses the passive voice (was calculated), it sounds objective and unbiased. You follow the phrase with the specific formula or method you used. For example, Variance was calculated as the square of the standard deviation. You can also use it to explain which software or tool did the heavy lifting for you. In a professional email, you might use it to justify a budget change based on fluctuating costs. Just remember: it needs a 'method' to follow it. You wouldn't just stop at as. That would be like saying "The cake was baked as..." and then walking out of the kitchen. Your audience is waiting for the ingredients! It works best when you want to sound like an expert who knows their way around a spreadsheet.

Formality & Register

This is a solid formal phrase. You wouldn't use this while texting your friends about who owes money for pizza. If you did, they might think you've spent too much time in the library. It belongs in academic papers, technical documentation, and high-stakes business presentations. Think of it as the 'tuxedo' of English phrases. It is polished, stiff, and very professional. On a scale of 1 to 10, with 1 being 'What's up?' and 10 being 'A Royal Decree,' this is about an 8. However, in the modern world of data science, it is becoming more common in 'tech-casual' settings. You might see it in a GitHub README file or a sophisticated blog post on Medium. Even then, it maintains its aura of authority. It says, "I am a professional, and I use professional tools."

Real-Life Examples

Imagine a climate scientist writing about rising temperatures. They might write, Variance was calculated as the mean of the squared differences from the average temperature. This tells other scientists exactly how they measured the extreme weather spikes. Or, think about a gaming developer explaining why some players get way more loot than others. In a patch note, they might say, Drop rate variance was calculated as a function of player level. Even in sports, an analyst might use it. The player's scoring variance was calculated as the deviation from their season average. It shows up in medical trials too. The variance in patient recovery times was calculated as... basically anywhere numbers live, this phrase is the landlord. It is the language of big decisions and serious evidence.

When To Use It

Use this when you are writing a thesis or a formal lab report. It is perfect for the 'Materials and Methods' section where precision is king. Use it during a corporate meeting when you need to explain why sales figures are all over the place. If you are a data analyst presenting to stakeholders, this phrase builds trust. It shows you aren't just making up trends. It is also great for peer-reviewed articles. If you want to get published in a journal, you need phrases like this. Use it when you want to distance yourself from the action to sound more 'scientific.' By not saying "I calculated the variance," you make the math the hero of the story, not yourself. It is the ultimate tool for sounding like a seasoned researcher.

When NOT To Use It

Avoid this phrase in casual conversation. If your friend asks why your mood is changing, don't say My mood variance was calculated as... unless you want to be single forever. It is too heavy for social media captions, unless you're being intentionally ironic or funny. Don't use it if you aren't actually talking about a mathematical process. If you just mean 'The difference was,' then just say that! Using big words for small problems makes you sound like you're trying too hard. Also, don't use it in a primary school setting. Little kids don't care about squared deviations; they care about snacks. Keep this phrase in your 'professional' toolbox and only take it out when there is a spreadsheet involved. It is a precision instrument, not a hammer.

Common Mistakes

One big mistake is mixing up the preposition. People often try to say ✗ Variance was calculated for when they mean to describe the formula. That sounds like you are doing the math for someone else, not explaining the method. Another oopsie is ✗ Variance was calculated like. While 'like' is common in spoken English, it is too informal for this specific phrase. Stick to as. Some learners also forget the was. Saying ✗ Variance calculated as is a fragment and sounds like a broken robot. You need that helping verb to make it a complete, passive-voice thought. Also, don't confuse variance with 'variation.' While they sound similar, variance is a specific math term. If you just mean 'changes,' use 'variation.' If you mean the square of the standard deviation, use variance. Accuracy is the whole point of using this phrase!

Common Variations

If you want to spice things up, you can use Variance was determined by. This sounds slightly more active. Another option is Variance was computed using. This highlights the use of a computer or calculator. In more descriptive writing, you might see Variance was defined as. This is used when you are giving a theoretical explanation rather than a literal math step. If you're in a bit of a rush, you could say The variance follows the formula... but that loses some of the formal weight. In some fields, people say The variance was estimated as, which is a humble way of saying "This isn't perfect, but it's our best guess." Each of these has a slightly different flavor, but calculated as remains the gold standard for clarity and professionalism.

Real Conversations

P

Professor

"How did you handle the outliers in the dataset?"
S

Student

"Well, variance was calculated as the average of the squared distances from the mean, after removing the top 1%."
P

Professor

"Good. That ensures the results aren't skewed."
M

Manager

"Why is the shipping cost so unpredictable this month?"
A

Analyst

"Actually, sir, the variance was calculated as a percentage of the fuel price index. As fuel goes up, our spread widens."
M

Manager

"I see. We need to stabilize that formula."

Developer 1: "The AI's response time is super inconsistent."

Developer 2: "Yeah, the variance was calculated as almost 200ms in the last stress test. We need to optimize the query."

Quick FAQ

Is this phrase only for math? Mostly, yes. It is a technical term used for statistical data. If you use it outside of math, you are probably using a metaphor or being funny. Do I have to use the passive voice? You don't *have* to, but in academic writing, it is the standard. It makes the work look more objective. Can I use it in a job interview? Yes! If you are applying for a data-related role, using this phrase shows you speak the language of the industry. It makes you sound competent and detail-oriented. Is there a shorter way to say this? Sure, you could say "We found the variance by..." but that is less formal. If you are writing for a boss or a teacher, stick to the formal version. It shows respect for the subject matter.

Usage Notes

This phrase is strictly formal and academic. It requires a mathematical or procedural definition to follow the word `as`. Ensure you use the passive voice `was calculated` to maintain a professional, objective tone.

🎯

The Passive Voice Power

Use the passive voice (`was calculated`) to sound more objective. It makes your research look unbiased because the 'person' is removed from the action.

⚠️

Variance vs. Variation

Don't say 'variation' if you are doing math. 'Variance' is a specific statistical term. Using 'variation' in a lab report will make you look like a beginner.

💬

The Scientist's Code

In English-speaking academia, using this phrase is like a secret handshake. It signals that you respect the rigors of the scientific method.

💡

Add Your Software

You can follow this phrase with the tool you used, e.g., `Variance was calculated as a function in Excel.` It adds another layer of transparency.

Examples

10
#1 Writing a Master's thesis
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In this study, variance was calculated as the sum of squared deviations from the mean divided by the number of observations.

In this study, variance was calculated as the sum of squared deviations from the mean divided by the number of observations.

A classic academic way to define a formula.

#2 Presenting quarterly sales figures
<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>

The regional sales variance was calculated as the difference between projected and actual revenue for each branch.

The regional sales variance was calculated as the difference between projected and actual revenue for each branch.

Used here to explain business performance 'spread'.

#3 Posting a coding tip on LinkedIn
<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>

When analyzing server latency, the variance was calculated as a rolling average to smooth out sudden spikes.

When analyzing server latency, the variance was calculated as a rolling average to smooth out sudden spikes.

Modern tech context for data analysis.

#4 A sarcastic text to a math-loving 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>

My motivation variance was calculated as zero today because I literally didn't move from the couch.

My motivation variance was calculated as zero today because I literally didn't move from the couch.

Using a formal phrase for a silly, personal situation.

#5 Discussing medical trial results
<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>

The variance was calculated as the primary metric for determining the drug's consistency across different age groups.

The variance was calculated as the primary metric for determining the drug's consistency across different age groups.

High-stakes medical reporting.

#6 A fitness influencer explaining a 'Consistency Score'
<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>

Your workout variance was calculated as the gap between your planned reps and what you actually finished.

Your workout variance was calculated as the gap between your planned reps and what you actually finished.

Gamification of data in everyday apps.

#7 Explaining a budget error
<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>

Unfortunately, the variance was calculated as a positive number when it should have been negative.

Unfortunately, the variance was calculated as a positive number when it should have been negative.

Explaining a mistake using formal language.

#8 Analyzing a heartbreak (deeply emotional/nerdy)
<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="M4.318 6.318a4.5 4.5 0 000 6.364L12 20.364l7.682-7.682a4.5 4.5 0 00-6.364-6.364L12 7.636l-1.318-1.318a4.5 4.5 0 00-6.364 0z"/></svg>

The variance was calculated as the distance between who I thought you were and who you actually became.

The variance was calculated as the distance between who I thought you were and who you actually became.

Poetic/Metaphorical use of a technical phrase.

Correcting a learner's preposition error Common Mistake
<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>

✗ Variance was calculated for the formula → ✓ Variance was calculated as the formula's result.

✗ Variance was calculated for the formula → ✓ Variance was calculated as the formula's result.

Use 'as' to describe the method/result identity.

Correcting a learner's missing verb Common Mistake
<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>

✗ The variance calculated as the average. → ✓ The variance was calculated as the average.

✗ The variance calculated as the average. → ✓ The variance was calculated as the average.

Don't forget the 'was' for the passive voice!

Test Yourself

Fill in the missing word.

✓ Correct! ✗ Not quite. Correct answer: was

In a report about past research, we use the past tense 'was'.

Fix the preposition.

✓ Correct! ✗ Not quite. Correct answer:

We use 'as' to define the identity of the calculation.

Choose the most formal and correct version.

Which sentence is best for an academic paper?

✓ Correct! ✗ Not quite. Correct answer: Variance was calculated as the squared deviation.

This uses the passive voice and technical vocabulary appropriate for C1 levels.

🎉 Score: /3

Visual Learning Aids

Formality of Calculation Phrases

Casual

Talking to friends

I did the math.

Neutral

At the office

We found the variance by...

Formal

Research paper

Variance was calculated as...

Where You'll See This Phrase

Variance Reporting
📖

Academic Journal

Methodology section

📊

Corporate Meeting

Explaining budget gaps

💊

Medical Trial

Reporting drug effects

💻

Tech Documentation

Explaining algorithms

Sports Analytics

Player performance data

Variance vs. Others

Calculated as
Exact Formula Defines the precise math.
Determined by
The Process Focuses on the tool or step.
Defined as
The Theory Explains what it represents.

Common Follow-up Methods

🔢

Statistical Formulas

  • Squared deviations
  • Standard deviation squared
  • Mean of differences
💼

Business Contexts

  • Budget vs Actual
  • Rolling average gap
  • Yearly fluctuation

Practice Bank

3 exercises
Fill in the missing word. Fill Blank beginner

The variance ... calculated as the square of the difference.

✓ Correct! ✗ Not quite. Correct answer: was

In a report about past research, we use the past tense 'was'.

Fix the preposition. Error Fix intermediate

Find and fix the mistake:

Variance was calculated for the mean deviation.

✓ Correct! ✗ Not quite. Correct answer: Variance was calculated as the mean deviation.

We use 'as' to define the identity of the calculation.

Choose the most formal and correct version. Choose advanced

Which sentence is best for an academic paper?

✓ Correct! ✗ Not quite. Correct answer: Variance was calculated as the squared deviation.

This uses the passive voice and technical vocabulary appropriate for C1 levels.

🎉 Score: /3

Frequently Asked Questions

19 questions

Rarely. It is almost exclusively for formal, academic, or technical writing. If you used it while buying groceries, people would be very confused and might think you are a malfunctioning robot.

Usually a mathematical formula or a description of a process. For example, you might say as the average of the squares. It needs a definition to be a complete thought.

You can, but it is less formal. In modern science, some people prefer the active voice, but the passive was calculated as is still the most common standard for journals.

Not exactly, but they are related. Variance is the square of the standard deviation. This phrase is used specifically when you are talking about that squared value.

Because a research paper usually reports on a study that has already been finished. We are describing a calculation that happened in the past, so we use the past tense.

Yes, if you are discussing data, budgets, or performance metrics. It makes you sound very analytical and professional, which is great for building trust with your boss.

It feels very cold and objective. It is meant to remove emotion from the data so that the facts can stand on their own without any human bias or drama.

Yes, it is used globally in English-speaking academia. Whether you are in London, New York, or Sydney, this is the standard way to report statistical methodology.

You can, but 'as' is more common when providing a formulaic definition. 'By' often leads into the tool or software used, like calculated by SPSS.

Usually, no. It flows directly into the definition. For example: Variance was calculated as X. You only need a comma if you are adding an extra clause afterward.

Absolutely! It is a great bullet point for a 'Methodology' slide. It is clear, concise, and tells the audience exactly what they need to know about your math.

You can change it to the plural: Variances were calculated as... This shows that you applied the process to multiple sets of data or used multiple methods.

In pure math, yes. 'Estimated as' is used when your data is incomplete or when you are making a prediction about a larger population rather than a specific sample.

Only if your blog is about science, tech, or data. If you are writing a lifestyle blog about travel, it will likely feel too heavy and out of place.

Not really. Slang tends to be less precise. The closest thing might be 'The numbers were all over the place,' but that doesn't explain the math at all.

In this specific phrase, yes. While 'variance' can mean a disagreement in law, the phrase calculated as firmly places it in the world of mathematics and statistics.

Yes, because it requires an understanding of academic register and technical vocabulary. It is something you would learn when preparing for university-level English studies.

Only if it is the first word of the sentence. Otherwise, it is a common noun and should stay in lowercase letters within the body of your text.

Very useful! If you have a chart-describing task or an academic essay, using this phrase will impress the examiner and boost your score for 'Lexical Resource'.

Related Phrases

🔗

Standard deviation was found to be

related topic

Reporting the average distance from the mean.

It is the most common companion statistic reported alongside variance in research.

🔄

Computed using the formula

synonym

Explaining the math tool or equation.

It serves the same purpose of providing transparency about the calculation method.

🔗

Statistically significant at

related topic

Reporting the probability of the results.

This is another core academic phrase used in the same sections of a report.

😊

We determined the variance by

informal version

Active voice version of the reporting phrase.

It shifts the focus from the math to the researchers themselves.

👔

Variance was defined as

formal version

Theoretical explanation of the term.

Used when setting up the conceptual framework before the actual math starts.

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