weighted mean

USAGE SUMMARY

The phrase "weighted mean" is correct and usable in written English.
The weighted mean is a type of mathematical average that takes into account the importance or weight of certain values in the calculation. For example, if you were trying to calculate an average test score that assigns more importance to certain exams than others, you would use a weighted mean.

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

53 human-written examples

Disparity estimates for major archosaur groups and time intervals (weighted mean pairwise dissimilarity (WMPD)).

Nature

weighted mean changes.

International Journal of Implant Dentistry

The equity weighted mean WTPs for BHI are much higher than non-equity weighted mean WTPs.

BMC Health Services Research

† Population weighted mean and range for CLSCs in the decile.

BMC Public Health

The weighted mean is then recalculated, and new weights assigned.

Cerebral Cortex

WMD, weighted mean difference.

Nature

Human-verified similar examples from authoritative sources

Similar Expressions

7 human-written examples

Using monthly data, annual area-weighted mean global temperature was calculated.

Nature

Muscarella, R. & Uriarte, M. Do community-weighted mean functional traits reflect optimal strategies?

Nature

First, the existing literature measures long-term effects based on equal-weighted mean abnormal stock returns.

Columbia University

The error-weighted mean of the I S ARF-corrected spectrum ratios is ~1.027.

Harvard University

Process parameters such as time and shear rate of homogenization affected significantly particle size distribution in terms of volume-weighted mean diameter and surface-weighted mean diameter.

Journal of Food Engineering

Expert writing Tips

Best practice

When using "weighted mean", ensure the weights are clearly defined and justified, as they significantly influence the final result.

Common error

Avoid assuming that higher weights automatically equate to greater importance without considering the context. The impact of a weight depends on the specific data being analyzed.

Linguistic Context

The phrase "weighted mean" functions as a noun phrase, typically serving as a subject or object in sentences describing statistical analysis or data interpretation. It's used to refer to a type of average that accounts for the different weights assigned to individual data points. Ludwig AI confirms this is grammatically correct.

Expression frequency: Very common

Frequent in

Science

60%

Academia

30%

Formal & Business

5%

Less common in

News & Media

1%

Wiki

1%

Reference

1%

Ludwig's WRAP-UP

The phrase "weighted mean" is a statistically sound and frequently used term, particularly in scientific and academic contexts. As Ludwig AI confirms, it's grammatically correct and effectively conveys the concept of an average that considers the varying importance of data points. When writing, ensure the weights are clearly defined to avoid misinterpretation. While the term is most common in formal settings, understanding its application is crucial for anyone interpreting quantitative data. Alternative phrases like "weighted average" can be used interchangeably.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

weighted average

This is a direct synonym, interchanging "mean" with "average".

weighted arithmetic mean

Specifies the type of mean being used, adding precision.

weighted arithmetic average

Synonym to "weighted arithmetic mean".

proportionally adjusted average

This phrase emphasizes the adjustment based on proportions.

weighted average score

Specifically references a score calculation using weights.

weighted average calculation

Focuses on the calculation process itself.

weighted average result

Emphasizes the outcome of the weighting process.

weighted average value

Highlights that a value is being calculated with weights.

weighted aggregate mean

Highlights that a sum of weighted data is used to find the mean.

weighted aggregate average

Similar to "weighted aggregate mean" but uses 'average'.

FAQs

How is the "weighted mean" different from a regular arithmetic mean?

The "weighted mean" accounts for the importance of each data point by assigning weights, while the arithmetic mean treats all data points equally.

When should I use a "weighted mean" instead of a simple average?

Use a "weighted mean" when some data points contribute more significantly to the overall average than others. For example, in calculating a final grade where some assignments are worth more than others.

What does it mean to calculate a "weighted average"?

Calculating a "weighted average" (synonymous with "weighted mean") involves multiplying each data point by its assigned weight, summing these products, and then dividing by the sum of the weights.

How do I interpret a "weighted mean" in the context of statistical analysis?

The "weighted mean" represents the typical value of a dataset, adjusted to reflect the relative importance or frequency of its elements, providing a more nuanced understanding than a simple average.