mean value
B2Formal, Technical, Academic
Definition
Meaning
In mathematics and statistics, the average of a set of numbers, calculated by adding them together and dividing by the count of numbers.
The typical or central value of a quantity; a number that represents a midpoint within a range of values. It can also refer to a middle point between extremes in a more general sense.
Linguistics
Semantic Notes
Primarily a technical term, though used in everyday speech in simplified form as 'the average'. The term 'mean' is the formal mathematical term for the average.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage. British English may more commonly use 'mean' as the sole term, while American English may explicitly say 'average value' in some contexts, but both use 'mean value' in technical registers.
Connotations
Identical technical connotations in both dialects.
Frequency
Equally common in academic, scientific, and statistical contexts in both regions. Rare in informal, non-technical conversation.
Vocabulary
Collocations
Grammar
Valency Patterns
The mean value of [data set/variable] is [number].To calculate/find the mean value of [plural noun].Vocabulary
Synonyms
Strong
Neutral
Weak
Vocabulary
Antonyms
Phrases
Idioms & Phrases
- “Goldilocks principle (not a direct idiom, but conceptually related to a value that is 'just right' or in the middle)”
Usage
Context Usage
Business
Used in analytics and reporting, e.g., 'The mean value of monthly sales increased by 5%.'
Academic
Core concept in statistics, mathematics, physics, and social sciences for data analysis.
Everyday
Simplified to 'average' in general conversation, e.g., 'The average temperature in July.'
Technical
Precise term in scientific papers, engineering reports, and statistical software output.
Examples
By Part of Speech
verb
British English
- These data points will help us mean the central tendency.
adjective
British English
- The mean calculation is straightforward.
American English
- We need the mean score for the report.
Examples
By CEFR Level
- The mean of 2, 4, and 6 is 4.
- Find the mean value of these three numbers.
- In our survey, the mean value for customer satisfaction was 7.5 out of 10.
- To get the mean, add all the ages and divide by the number of people.
- The report highlighted a discrepancy between the sample mean value and the projected population mean.
- Outliers can significantly distort the calculated mean value of a data set.
- The confidence interval was constructed around the estimated mean value to account for sampling error.
- A t-test was applied to determine if the difference between the two mean values was statistically significant.
Learning
Memory Aids
Mnemonic
Think of a MEAN, strict teacher who makes everyone line up, adds up all their scores, and divides fairly to find the one score in the MIDDLE that represents the whole class.
Conceptual Metaphor
BALANCE POINT (like the fulcrum of a seesaw where a data set would balance).
Watch out
Common Pitfalls
Translation Traps (for Russian speakers)
- Avoid translating 'mean' as 'значение' alone; it's 'среднее значение'.
- Do not confuse with other types of 'mean' (e.g., 'подлый').
- The English 'mean' is specifically the arithmetic среднее, not necessarily the median (медиана) or mode (мода).
Common Mistakes
- Using 'mean value' to refer to the median (middle number when sorted).
- Omitting 'value' when context is clear (e.g., 'The mean is 10.' is acceptable).
- Incorrectly calculating it by not summing all values before dividing.
Practice
Quiz
Which of the following is the correct calculation for the mean value of the set {5, 10, 15}?
FAQ
Frequently Asked Questions
In common usage, yes. In precise technical terms, 'mean' usually refers specifically to the arithmetic mean, which is the most common type of average. Other averages include median and mode.
Yes, very frequently. The mean is a calculated central value and often does not match any single data point in the set.
The mean can be misleading when your data set contains extreme outliers or is heavily skewed. In such cases, the median is often a better measure of central tendency.
Mean is the arithmetic average. Median is the middle value when data is ordered. Mode is the most frequently occurring value. Each describes the 'center' of data in a different way.