Definition

1. Noun:
   • A central or typical value: The "mean value" is a statistical measure representing the central tendency of a set of numbers. It is calculated by summing all the numbers in the set and then dividing that sum by the count of numbers.
   • Arithmetic mean: In common usage, "mean value" most frequently refers to the arithmetic mean, which is the simple average.

Usage Examples

• Noun:
  • The mean value of the test scores was 85, indicating a generally good performance by the class.
  • To find the mean value of the data set {2, 4, 6}, you add them to get 12 and divide by 3, resulting in a mean of 4.
  • Engineers calculated the mean value of the pressure readings over the 24-hour period.

Advanced Usage

• Weighted mean value: An average where some data points contribute more than others.
  • Your final grade is a weighted mean value, with the exam counting for 50% of the total.
• Population mean vs. sample mean value: In statistics, the "mean value" of an entire population is a parameter, while the mean of a sample is an estimate of that parameter.
  • The sample mean value gave us a good estimate of the average income in the city.

Variants and Related Words

• Mean (n): A common short form for "mean value."
  • The mean of these numbers is easy to calculate.
• Average (n): A general synonym for a measure of central tendency, often used interchangeably with "mean value."
  • The average temperature for July was recorded.
• Arithmetic mean (n): The specific type of mean calculated by summing values and dividing by their count.
  • The arithmetic mean is the most commonly used measure of central tendency.

Synonyms

• Average: The central or typical value in a set of data.
• Arithmetic mean: The sum of values divided by the number of values.
• Central tendency: A general term for the center of a data distribution (e.g., mean, median, mode).

Related Phrases

• Expected value: In probability, the long-run average value of a random variable.
  • The expected value of a fair die roll is 3.5.
• Trimmed mean: A mean value calculated after removing a specified percentage of the smallest and largest values.
  • The trimmed mean is less affected by outliers in the data.

Noun

1. an average of n numbers computed by adding some function of the numbers and dividing by some function of n