arithmetic mean

USAGE SUMMARY

"arithmetic mean" is correct and usable in written English.
You can use it when discussing mathematics and statistical calculations. For example, "The arithmetic mean of the data was 25."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The arithmetic mean is not the only type of mean.

The Guardian

Arithmetic mean.

EURASIP Journal on Wireless Communications and Networking

unweighted pair group method with arithmetic mean.

AMB Express

where (hat g) is the arithmetic mean.

Forest Ecosystems

The arithmetic mean was the starting point.

Intensive Care Medicine Experimental

Bars represent arithmetic mean ± standard deviation.

EJNMMI Research

Data has been analyzed using arithmetic mean and standard deviation.

Procedia - Social and Behavioral Sciences

Data were analyzed by arithmetic mean and standard deviation.

Procedia - Social and Behavioral Sciences

Let (m=A_{lambda}) be the weighted arithmetic mean.

Journal of Inequalities and Applications

Data are presented as arithmetic mean ± SD.

Plosone

Therefore compute the arithmetic mean of all orders of segregation.

Plosone

Expert writing Tips

Best practice

Always specify the units of measurement when presenting the "arithmetic mean" to provide context and facilitate interpretation of the data.

Common error

Avoid using "arithmetic mean" interchangeably with other types of averages such as the geometric mean or harmonic mean. Each has a specific formula and is appropriate for different types of data.

Linguistic Context

The phrase "arithmetic mean" functions as a noun, specifically a compound noun. It refers to a particular method of calculating the average of a set of numbers. As Ludwig AI pointed out, it is grammatically correct and usable in written English.

Expression frequency: Very common

Frequent in

Science

98%

News & Media

1%

Formal & Business

1%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The term "arithmetic mean" is a fundamental statistical concept denoting the sum of a set of values divided by the number of values. As Ludwig AI confirms, it's grammatically sound and commonly used. Its primary function is to provide a precise measure of central tendency, especially in scientific and technical contexts. While often used interchangeably with "average", specifying "arithmetic mean" enhances clarity. It is very common in scientific literature, appearing frequently in sources like PlosOne and BMC Genomics. Remember to clearly specify the units of measurement when reporting the "arithmetic mean" and to avoid confusing it with other types of averages, such as the geometric or harmonic mean.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mean value

This alternative is a shorter, more concise term for the arithmetic mean.

average value

This alternative is a more general term, implying a central tendency without explicitly stating the calculation method.

numerical average

This specifies that the average is calculated using numbers, similar to the arithmetic mean.

calculated average

This emphasizes that the average is the result of a calculation.

average

This is a very general term that can refer to the arithmetic mean, but also to other types of averages.

sample mean

This refers to the arithmetic mean calculated from a sample of data.

first moment

This is a statistical term referring to the expected value, synonymous with the arithmetic mean.

expected value

This term is used in probability and statistics to represent the average value of a random variable.

sum divided by count

This alternative describes the method for calculating the arithmetic mean.

central tendency

This is a more general term that encompasses measures of central tendency, including the arithmetic mean.

FAQs

How do I calculate the "arithmetic mean"?

To calculate the "arithmetic mean", sum all the values in a dataset and then divide by the number of values. For example, the "mean value" of 2, 4, and 6 is (2+4+6)/3 = 4.

What's the difference between "arithmetic mean" and median?

The "arithmetic mean" is the sum of values divided by the number of values. The median is the middle value when the data is ordered. The mean is sensitive to outliers, while the median is more robust.

When should I use the "arithmetic mean" instead of other averages?

Use the "arithmetic mean" when your data is roughly normally distributed and you want to find the typical value. For skewed data, the median might be a better measure of central tendency.

Are "average" and "arithmetic mean" the same?

The term "average" can refer to any measure of central tendency, including the "arithmetic mean", median, and mode. The "arithmetic mean" is a specific type of average calculated by summing the values and dividing by the count.