With a given mean

USAGE SUMMARY

The phrase "With a given mean" is correct and usable in written English.
It can be used in statistical contexts to refer to a specific average value that is established or assumed for analysis or calculations. Example: "The data set was analyzed with a given mean of 50 to determine the variance."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

With a given mean μ and variance σ, we simulated expression values as independently and identically distributed values from normal distribution N, uniform distribution and gamma distribution Γ.

Bioinformatics

Furthermore, calculated permeability values (≈0.0033μm2) show the generated network is isotropic, while investigating random variations of pipe radii (with a given mean and standard deviation) shows a significant effect on the permeability.

Engineering Applications of Artificial Intelligence

At the first step, the link success probabilities are generated using a stationary random process with a given mean.

EURASIP Journal on Wireless Communications and Networking

4 To the best of our knowledge, no efficient algorithms have been developed for uniformly sampling a rank distribution with a given mean value.

EURASIP Journal on Advances in Signal Processing

Given a list N values t that can be assumed in [ 0, 1 ], with a given mean μ the greater possible standard deviation would be achieved under a Bernoulli distribution with t = 1 with probability p and t = 0 with probability q.

EPJ Data Science

An age distribution was simulated from a normal distribution with a given mean (60), and s.d.

British Journal of Cancer

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

The steady-state rate and ratcheting strain at failure increase with mean stress for a given stress amplitude and with stress amplitude for a given mean stress.

International Journal of Fatigue

Making the influence which cannot/need not be calculated with a model given means defining the boundary of the model (i.e., what physical processes are considered/ignored).

Research and Practice in Technology Enhanced Learning

Prediction of extreme responses with given mean recurrence intervals (MRIs) is an essential task for reliability-based design of wind turbines.

Engineering Structures

The designer's goal ultimately is not about having a student produce a circle per se but having a student struggle to produce a circle with the given means.

Cognitive Research: Principles and Implications

If x and g are rescaled to set (f'_{g }approx f'_{{{x}} }), then Theorem 2 predicts that dual homeostasis stabilizes a fixed point with a given characteristic mean and variance if (f"_{g }(mu^)>f"_{{{x}} }(mu^)), thats is, if the (signed) difference between the effects of positive rate deflections and negative rate deflections is greater for the synaptic mechanism than for the intrinsic mechanism.

The Journal of Mathematical Neuroscience

Expert writing Tips

Best practice

When using "with a given mean", ensure that the context clearly defines how the mean was determined or why it is relevant to the analysis.

Common error

Avoid using "with a given mean" without specifying the population or dataset to which it refers. Always provide context for the mean to prevent ambiguity.

Linguistic Context

The phrase "with a given mean" functions as an adjectival phrase, modifying a noun or noun phrase by specifying a particular characteristic related to its average value. As Ludwig AI confirms, this is a correct and usable phrase in written English.

Expression frequency: Uncommon

Frequent in

Science

90%

Formal & Business

5%

News & Media

3%

Less common in

Encyclopedias

1%

Wiki

0.5%

Reference

0.5%

Ludwig's WRAP-UP

The phrase "with a given mean" is grammatically correct and most commonly used in scientific and formal contexts. Ludwig AI confirms its correctness and usability, particularly in statistical or analytical discussions. It indicates that a specific average value is known or assumed for analysis. While "with a given mean" is a valid construction, consider alternatives like "with a specified average" for clarity, especially if the source of the mean needs emphasis. Remember to provide sufficient context to avoid ambiguity. The phrase's function as an adjectival modifier underscores its role in specifying conditions within technical descriptions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

With a specified average

Replaces "mean" with its synonym "average".

Having a defined mean value

Changes the structure to start with "having" and emphasizes the "mean" as a "value".

With a predetermined mean

Substitutes "given" with "predetermined", indicating a mean set in advance.

With a known mean

Replaces "given" with "known", emphasizing that the mean is already established.

Assuming a mean of

Shifts to an assumption-based phrasing.

With a set mean

Uses "set" instead of "given" to convey the fixed nature of the mean.

For a mean of

Simplifies the structure, omitting "given".

With a designated mean

Replaces "given" with "designated" to suggest a specifically assigned mean.

With a prescribed mean

Emphasizes that the mean is not just given, but also required.

Given that the mean is

Restructures the phrase to highlight the mean as a condition.

FAQs

How to use "With a given mean" in a sentence?

Use "With a given mean" to specify a known or assumed average value when performing calculations or analysis. For example, "The data set was analyzed "with a given mean" of 50 to determine the variance."

What can I say instead of "With a given mean"?

You can use alternatives like "with a specified average", "having a defined mean value", or "with a predetermined mean" depending on the context.

Is it necessary to define the source of the mean when using "With a given mean"?

Yes, it is best practice to define the source or method of determining the mean to provide clarity and context. For instance, specify if it's a population mean, a sample mean, or a theoretical mean.

What does "With a given mean" imply about the data?

It implies that the average value of the data is already known or has been predetermined before further analysis or calculations are performed. This is common in statistical modeling and simulations.