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单词 frequency distribution
释义

frequency distribution


frequency distribution

n. A listing of all unique values or ranges of values in a set of data, along with an enumeration of the number of time each value or range of values is actually observed in that set. In a relative frequency distribution, the actual frequency of observations is replaced by the corresponding proportion of the total number of observations.

frequency distribution

n (Statistics) statistics the function of the distribution of a sample corresponding to the probability density function of the underlying population and tending to it as the sample size increases, the set of relative frequencies of sample points falling within given intervals of the range of the random variable

fre′quency distribu`tion


n. the correspondence of a set of frequencies with the set of categories, intervals, or values into which a statistical population is classified. [1890–95]
Thesaurus
Noun1.frequency distribution - a distribution of observed frequencies of occurrence of the values of a variabledistribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrencestatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
Translations
distribuzione di frequenza

frequency distribution


frequency distribution

[¦frē·kwən·sē ‚dis·trə′byü·shən] (mathematics) A function which measures the relative frequency or probability that a variable can take on a set of values.
Frequency distributionFig. 10 Frequency distribution.

frequency distribution

the number of times each value of a variable occurs in a set of observations.

A frequency-distribution table is a simple way of representing sociological observations. It consists of at least two columns: the left-hand one contains the values which a variable may take, and the right-hand one contains the number of times each value occurs. An additional right-hand column can also be included to show the percentage distribution. In Fig. 10 the number of male and female respondents to a questionnaire are shown. see also BAR CHART. HISTOGRAM. PIE CHART, which can also be used to represent distributions.

Frequency Distribution

 

a set of the various numerical values of some quantitative characteristic of the members of a population where an indication is given of the frequency of each value—that is, the size of the corresponding group of these members is indicated. A frequency distribution expresses the result of the grouping of the members of the population with respect to a single quantitative characteristic. If the values are ordered, that is, arranged according to increasing or decreasing magnitude, then the frequency distribution is said to be ranked.

A distinction is made between discrete and interval frequency distributions. A discrete frequency distribution is based on a discontinuously varying grouping characteristic; an example is the distribution of workers with respect to the number of machine tools operated. An interval, or grouped (that is, reduced to groups), frequency distribution is based on a continuously varying characteristic; an example of this type is the distribution of a group of people with respect to age. Frequency distributions can also be grouped in the case of a discrete characteristic if the range of this characteristic is sufficiently great—for example, the distribution of urban communities with respect to the number of residents.

The intervals of the grouping characteristic may be equal or unequal. If unequal, they usually increase progressively; this case arises when qualitatively different types of phenomena are being singled out. The sizes of the groups formed are indicated in the frequency distribution by absolute numbers, or frequencies; by relative numbers, or relative frequencies, which are usually percentages of the total; or by both, in two parallel columns. The ratios of the frequencies or relative frequencies to the sizes of the corresponding intervals are called the distribution density.

The importance of frequency distributions in statistics is great. A well-constructed frequency distribution makes possible a detailed analysis of the structure of the population with respect to a given characteristic. Thus, the groups into which the population breaks down can be determined. In addition, the nature of the distribution of the members of the population with respect to the given characteristic can be ascertained—for example, whether the distribution is symmetric or asymmetric or what the degree of concentration of the members is. Finally, various statistics can be calculated, such as the range of the characteristic (the absolute difference between the maximum and the minimum value), the average value of the characteristic, the deviations from the average value, the degree of skewness of the frequency distribution, and the measure of kurtosis (the degree of closeness of a cluster of values of the characteristic around the average value). For easy comprehension, a frequency distribution can be represented graphically in a rectangular coordinate system in the form of a frequency polygon, histogram, cumulative frequency polygon, or ogive. Various combinations of frequency distributions for a population can be presented in the form of statistical tables.

I. G. VENETSKII

frequency distribution


distribution

 [dis″trĭ-bu´shun] 1. the specific location or arrangement of continuing or successive objects or events in space or time.2. the extent of a ramifying structure such as an artery or nerve and its branches.3. the geographical range of an organism or disease.frequency distribution in statistics, a mathematical function that describes the distribution of measurements on a scale for a specific population.normal distribution a symmetrical distribution of scores with the majority concentrated around the mean; for example, that representing a large number of independent random events. It is in the shape of a bell-shaped curve. Called also gaussian distribution. See illustration. Normal distribution. The approximate percentage of the area (or frequency) lying under the curve between standard deviations is indicated. From Dorland's, 2000.probability distribution a mathematical function that assigns to each measurable event in a sample group the probability that the event will occur.

fre·quen·cy dis·tri·bu·tion

a statistical description of raw data in terms of the number or frequency of items characterized by each of a series or range of values of a continuous variable.

frequency distribution

A table or histogram showing the number of times each value of a particular variable occurs in a sample.
Frequency distributionFig. 166 Frequency distribution . A distribution based on 9 numbers.

frequency distribution

an arrangement of statistical data in order of the frequency of each size of the variable. For example, the numbers 2,3,5,3,4,2,1,3,4 would have the frequency distribution shown in Fig. 166. Data from a large sample often produces a NORMAL DISTRIBUTION CURVE.
LegalSeedistribution

Frequency distribution


Frequency distribution

The organization of data to show how often certain values or ranges of values occur.

Probability Distribution

All the possible values a random variable can take under a given set of circumstances, as well as the probability that it will take each value. A normal probability is a bell curve.

frequency distribution


Related to frequency distribution: relative frequency, relative frequency distribution
  • noun

Words related to frequency distribution

noun a distribution of observed frequencies of occurrence of the values of a variable

Related Words

  • distribution
  • statistical distribution
  • statistics
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