mean across all

USAGE SUMMARY

The phrase "mean across all" is correct and usable in written English.
It can be used when discussing an average or generalization that applies to a wide range of subjects or data points. Example: "The results of the survey mean across all demographics indicate a significant trend in consumer behavior."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

However, mean (across all cycles) differences in these three behavioural variables between the two cycle types were less than 10%.

BMC Evolutionary Biology

We applied the DEA on those mRNA transcripts and miRNA, which had mean across the 142 samples, higher than the 0.25 ∗ quantile mean across all samples.

BioMed Research International

Amazonia mean (across all periods) C4C3R 0.64±3.53 shows a larger fraction of C4 agriculture than the global C4C3R ratio of 0.19, according to Still et al. [ 2003], with only Venezuela 2008 approaching the global average.

Global Biogeochemical Cycles

All ERPs shown are the grand mean across all subjects.

Nature

The data from all the eggs are first combined in a single (Stouffer) Z-score representing the signed deviation of the mean across all eggs for each second.

Princeton University

where 1n is a vector of ones and n is the number of hybrids, μ refers to the overall mean across all four locations.

Nature

We also assessed the long-range temporal dynamics of connectivity across the entire connectome, by comparing each session to the mean across all sessions (Fig. 3).

Nature

We computed an overall life satisfaction index by taking the mean across all twelve items.

Large-scale Assessments in Education

Sum of squared deviations about the grand mean across all N observations.

Journal of Industrial Engineering International

The results are depicted in Figure6 showing the mean across all positions.

EURASIP Journal on Advances in Signal Processing

We downloaded these data, clipped each dataset to the study area boundary, and calculated the mean across all depths for each variable (Table 2).

Forest Ecosystems

Expert writing Tips

Best practice

When reporting statistical results, use "mean across all" to clearly indicate that the average was calculated considering every data point in the set. This prevents ambiguity and ensures transparency in your methodology.

Common error

Avoid using "mean across all" when you've only considered a subset of data or have excluded outliers. Ensure that the reported mean genuinely reflects the average of the entire dataset to prevent misleading interpretations.

Linguistic Context

The phrase "mean across all" functions as a statistical descriptor, specifically indicating the calculation of an average value that incorporates every data point within a given set. As Ludwig AI confirms, the phrase is both correct and usable.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "mean across all" is a statistically sound and prevalent expression, especially within scientific literature. Ludwig AI validates its grammatical correctness and usability. This phrase serves to precisely define a specific averaging method, ensuring all data points are considered. Though versatile, its usage is most concentrated in scientific contexts, reflecting its function in rigorous data analysis and reporting. When writing, ensure this phrase is used only when all data points have been included and consider alternative phrasings like "overall average" for variety.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

average over all

Replaces "mean" with "average", emphasizing the calculation of a central value.

average of all

Similar to "average over all", offering a slight variation in prepositional choice.

overall average

Reorders the words to place emphasis on the concept of an average value.

aggregate mean

Substitutes "mean" with "aggregate mean", highlighting the process of combining data before averaging.

total average

Emphasizes that the mean encompasses the entire dataset.

grand average

Suggests a comprehensive average that includes all contributing factors or subgroups.

global mean

Highlights the scale or scope of the average being calculated, suggesting it covers a wide or complete range.

general average

Indicates a broad or typical average, applicable in most situations within the context.

mean for the entire set

Rephrases to specify the scope of the calculation, focusing on the complete collection of data.

average for all instances

Highlights that each instance contributes to the final average.

FAQs

How is "mean across all" used in statistical analysis?

In statistical analysis, "mean across all" indicates that the average is calculated using every data point within a defined set, providing a comprehensive measure of central tendency. It ensures that no data points are excluded from the average.

What does it mean to calculate the "mean across all" observations?

Calculating the "mean across all" observations involves summing all observed values and dividing by the total number of observations. This provides an average that represents the entire dataset, without excluding any specific values.

When is it appropriate to use "mean across all" versus other averaging methods?

Use "mean across all" when you want to include every data point in your calculation, especially when there's no reason to exclude outliers or specific subsets. Other methods like trimmed means or weighted averages might be more appropriate if certain data points need to be adjusted or excluded.

What are some alternatives to using "mean across all" in academic writing?

Alternatives to "mean across all" include phrases like "overall average", "aggregate mean", or "total average", depending on the specific nuance you want to convey in your writing. All these expressions mean the same but can be eventually used to avoid word repetition.