arithmetic mean of three

USAGE SUMMARY

The phrase "arithmetic mean of three" is correct and usable in written English.
It can be used in mathematical contexts when discussing the average of three numerical values. Example: "To find the arithmetic mean of three numbers, add them together and divide by three."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

The second one – an interpretability measure – is based on the arithmetic mean of three components: (a) the average length of rules (the average number of antecedents used in the rules), (b) the number of active fuzzy sets and (c) the number of active inputs of the system (an active fuzzy set or input means a set or input used by at least one fuzzy rule).

Applied Soft Computing

The latest release, IGRF-11, was derived from an arithmetic mean of three candidate models for the main field in 2005.0, seven weighted candidate models for the main field in 2010.0 and eight weighted candidate models for the secular variation over the time interval 2010 2015.

Earth, Planets and Space

The arithmetic mean of three subsequent measurements was used in the study.

BMC Pregnancy and Childbirth

The arithmetic mean of three series was taken as the individual's VDT [ 38].

BMC Complementary and Alternative Medicine

Each determination was the arithmetic mean of three consecutive measurements when their differences did not exceed 10%.

Critical Care

Values of fecal indicators in the samples are the arithmetic mean of three independent replicas and are summarized in the Table.

Emerging Infectious Diseases

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

It is demonstrated that the prevalent practice of using the arithmetic mean of two measured heat transfer rates for the evaluation of heat exchanger performance, which is widely adopted in the literature and used in engineering standards, does not always lead to reduced experimental uncertainty and very rarely if ever leads to a minimized experimental uncertainty.

Experimental Thermal and Fluid Science

Each experimental result reported is the arithmetic mean of two independent measurements.

Chemistry Central Journal

The value reported are arithmetic mean of five runs of each benchmark.

EURASIP Journal on Embedded Systems

For the arithmetic mean, we obtained each kmax from each random realization and computed the arithmetic mean of ten kmax's.

EURASIP Journal on Advances in Signal Processing

Thin blood smears were obtained at presentation for determination of parasitemia, which is reported as the arithmetic mean of two independent readings by expert microscopists.

Plosone

Expert writing Tips

Best practice

When using "arithmetic mean of three", ensure the context clearly defines what three quantities are being averaged. Providing units of measurement adds clarity.

Common error

Avoid using the "arithmetic mean of three" when the underlying data exhibits a skewed distribution or contains outliers. In such cases, the median or other robust measures of central tendency might be more appropriate.

Linguistic Context

The phrase "arithmetic mean of three" functions as a noun phrase specifying a type of average calculated from three quantities. As Ludwig AI states, it is a correct and usable phrase.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "arithmetic mean of three" is a grammatically correct and usable term, primarily employed in scientific and technical contexts to describe the average of three numerical values. As confirmed by Ludwig AI, it's a straightforward method to calculate a central tendency. While common alternatives like "average of three" exist, "arithmetic mean of three" maintains precision in formal settings. Best practice involves clarifying the context and units when applying this term. Misuse can occur with skewed data, where alternative measures of central tendency might prove more suitable.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

average of three numbers

Replaces "arithmetic mean" with the more common term "average" and specifies "numbers" for clarity.

mean of three values

Uses "values" instead of "three" to be more general.

average of three values

Uses more common term "average" instead of "arithmetic mean" and "values" instead of numbers.

sum of three divided by three

Explains the calculation method of the arithmetic mean explicitly.

one-third the sum of three

Expresses the arithmetic mean as a fraction of the sum.

mean calculated from three data points

Specifies that the mean is calculated from a set of three data points.

average computed over three elements

Uses "elements" to describe what is being averaged.

central tendency of three observations

Replaces "arithmetic mean" with the more statistical term "central tendency".

composite of three measures

Indicates that the arithmetic mean combines the given measures.

aggregate of three items

Presents the arithmetic mean as the aggregation of the data.

FAQs

How do I calculate the "arithmetic mean of three" numbers?

To calculate the "arithmetic mean of three", add the three numbers together, and then divide the sum by three. The formula is: (number1 + number2 + number3) / 3.

What's the difference between "arithmetic mean of three" and a weighted average?

The "arithmetic mean of three" gives equal weight to each of the three numbers. A weighted average assigns different weights to each number, affecting their contribution to the final average.

When is it appropriate to use the "arithmetic mean of three"?

It's appropriate when you want to find the average of three values, and each value is equally important or contributes equally to the outcome. If one is more important than the others, you can consider using a weighted average instead.

What are some alternatives to using the phrase "arithmetic mean of three"?

You can use alternatives like "average of three numbers", "mean of three values", or simply "average of three" depending on the context.