standard deviations of

USAGE SUMMARY

"standard deviations of" is a grammatically correct and commonly used phrase in written English.
It is typically used in statistics or mathematics to express the variation or spread of a set of data. Example: The standard deviations of the test scores were 5, indicating a wide range of performance among the students.

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Standard deviations of best-fitting planes.

Nature

Error bars represent standard deviations of three independent experiments.

Nature

Results are expressed as mean ± standard deviations of values from triplicate experiments.

Nature

Values represent the mean and standard deviations of three independent observations.

Nature

We summarized the mean and standard deviations of bite performance for each individual (SI Table 1).

Nature

Values shown are mean and standard deviations of 3 different observations using phage JSF35.

Nature

Table 1 Electron microprobe analyses (wt% of elements, ranges, and standard deviations) of proxidecagonite.

Nature

Shown are average and standard deviations of each reference cell over the N bootstrap reference subsets.

Nature

The average plus three standard deviations of blank wells were calculated as a cut-off value.

Nature

Graphs depict raw species averages and standard deviations of maximal performance for individuals on log axes.

Nature

Relative standard deviations of pesticide recoveries were usually <10%.

Journal of Chromatography A

Expert writing Tips

Best practice

When reporting "standard deviations of", always specify the sample size (n) to provide context for the variability.

Common error

Avoid using "standard deviations of" when you actually mean standard error. Standard deviation describes the variability within a sample, while standard error estimates the variability of the sample mean.

Linguistic Context

The phrase "standard deviations of" functions as a noun phrase modifier. It qualifies another noun, typically data, measurements, or results, by specifying that standard deviations are being considered. Ludwig AI confirms its common usage in statistical contexts.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "standard deviations of" is a grammatically correct and highly prevalent phrase used to describe the spread of data within a sample. Ludwig AI validates its widespread usage, particularly in scientific research where accurate reporting of statistical variability is crucial. While alternatives like "variation in values" or "spread of data" exist, "standard deviations of" is the most statistically precise. Remember to specify the sample size when using the phrase and avoid confusing it with standard error for clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

standard deviation within

This specifies that the standard deviation is calculated within a particular group or subset.

variation in values

This focuses on the concept of variation, which standard deviation quantifies.

spread of data

This highlights the dispersion aspect that standard deviation measures.

dispersion of results

This emphasizes how results are scattered around a central point.

range of variation

This refers to the extent to which data points differ from each other.

scatter of data points

This visually describes how individual data points are distributed.

statistical variability of

This specifically denotes that the variability is being considered from a statistics perspective.

degree of dispersion in

This focuses on the extent to which data is spread out.

level of fluctuation in

This refers to the degree to which data values change or vary.

measure of variability for

This expresses the idea that something is being measured to quantify variability.

FAQs

How do I interpret "standard deviations of" in research?

The "standard deviations of" indicate the spread or variability within a dataset. A smaller standard deviation suggests data points are clustered closely around the mean, while a larger standard deviation indicates a wider dispersion.

What's the difference between "standard deviations of" and standard error?

"Standard deviations of" measures the variability within a sample, while standard error estimates the variability of the sample mean. Standard error is always smaller than standard deviation because it's influenced by the sample size.

When should I report "standard deviations of" vs confidence intervals?

Report "standard deviations of" to describe the variability within your sample. Use confidence intervals to estimate the range in which the true population mean is likely to fall.

Are there alternatives to using "standard deviations of" in scientific writing?

Yes, depending on the context, you could use phrases like "variation in values", "spread of data", or "statistical variability of" to convey similar meanings.