modal value

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modal value

The modal value of the test scores was 85.

Definition

Noun: - The most frequent value of a random variable; the value that appears most often in a set of data. In statistics, the modal value is a measure of central tendency, representing the most common or frequent observation in a data set.

Usage

The term "modal value" is used primarily in statistical and mathematical contexts to describe the peak or most common point in a data distribution. It is synonymous with the statistical term "mode." - It is used to summarize categorical or numerical data by identifying the most typical or frequent category/number. - Unlike the mean or median, the modal value is not affected by extreme values (outliers) but may not be unique (a data set can have more than one mode).

Examples
Advanced Usage
  • "Modal value" in probability distributions: For a discrete random variable, the modal value is the value with the highest probability. For a continuous random variable, it is the value at which the probability density function reaches its maximum (the peak of the distribution curve).
    • The modal value of this normal distribution is at the mean.
Variants and Related Words
  • Mode (noun): The more common and concise synonym for "modal value."
    • The mode of the test scores was 85.
  • Bimodal (adjective): Describing a distribution with two distinct modal values.
  • Multimodal (adjective): Describing a distribution with more than one modal value.
  • Unimodal (adjective): Describing a distribution with a single modal value.
Synonyms
  • Mode: The most frequent value.
  • Most frequent value: A descriptive synonym.
Antonyms
  • While not direct opposites, other measures of central tendency are distinct:
    • Mean: The average value.
    • Median: The middle value when data is ordered.
Related Phrases/Idioms

There are no common idioms or phrasal verbs using "modal value." It is a technical statistical term.

modal value

The modal value of the test scores was 85.

Noun
  1. the most frequent value of a random variable

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