--- type: "codesystem" title: "Statistics Code" codesystem: "observation-statistics" --- # Statistics Code - **Official URL**: http://hl7.org/fhir/observation-statistics - **Version**: 6.0.0 - **Status**: active - **Name**: StatisticsCode - **Title**: Statistics Code - **Publisher**: HL7 (FHIR Project) - **Description**: The statistical operation parameter -"statistic" codes. - **Case Sensitive**: true - **Content**: complete ## Concepts | Code | Display | Definition | | --- | --- | --- | | average | Average | The [mean](https://en.wikipedia.org/wiki/Arithmetic_mean) of N measurements over the stated period. | | maximum | Maximum | The [maximum](https://en.wikipedia.org/wiki/Maximal_element) value of N measurements over the stated period. | | minimum | Minimum | The [minimum](https://en.wikipedia.org/wiki/Minimal_element) value of N measurements over the stated period. | | count | Count | The [number] of valid measurements over the stated period that contributed to the other statistical outputs. | | total-count | Total Count | The total [number] of valid measurements over the stated period, including observations that were ignored because they did not contain valid result values. | | median | Median | The [median](https://en.wikipedia.org/wiki/Median) of N measurements over the stated period. | | std-dev | Standard Deviation | The [standard deviation](https://en.wikipedia.org/wiki/Standard_deviation) of N measurements over the stated period. | | sum | Sum | The [sum](https://en.wikipedia.org/wiki/Summation) of N measurements over the stated period. | | variance | Variance | The [variance](https://en.wikipedia.org/wiki/Variance) of N measurements over the stated period. | | 20-percent | 20th Percentile | The 20th [Percentile](https://en.wikipedia.org/wiki/Percentile) of N measurements over the stated period. | | 80-percent | 80th Percentile | The 80th [Percentile](https://en.wikipedia.org/wiki/Percentile) of N measurements over the stated period. | | 4-lower | Lower Quartile | The lower [Quartile](https://en.wikipedia.org/wiki/Quartile) Boundary of N measurements over the stated period. | | 4-upper | Upper Quartile | The upper [Quartile](https://en.wikipedia.org/wiki/Quartile) Boundary of N measurements over the stated period. | | 4-dev | Quartile Deviation | The difference between the upper and lower [Quartiles](https://en.wikipedia.org/wiki/Quartile) is called the Interquartile range. (IQR = Q3-Q1) Quartile deviation or Semi-interquartile range is one-half the difference between the first and the third quartiles. | | 5-1 | 1st Quintile | The lowest of four values that divide the N measurements into a frequency distribution of five classes with each containing one fifth of the total population. | | 5-2 | 2nd Quintile | The second of four values that divide the N measurements into a frequency distribution of five classes with each containing one fifth of the total population. | | 5-3 | 3rd Quintile | The third of four values that divide the N measurements into a frequency distribution of five classes with each containing one fifth of the total population. | | 5-4 | 4th Quintile | The fourth of four values that divide the N measurements into a frequency distribution of five classes with each containing one fifth of the total population. | | skew | Skew | Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive or negative, or even undefined. Source: [Wikipedia](https://en.wikipedia.org/wiki/Skewness). | | kurtosis | Kurtosis | Kurtosis is a measure of the "tailedness" of the probability distribution of a real-valued random variable. Source: [Wikipedia](https://en.wikipedia.org/wiki/Kurtosis). | | regression | Regression | Linear regression is an approach for modeling two-dimensional sample points with one independent variable and one dependent variable (conventionally, the x and y coordinates in a Cartesian coordinate system) and finds a linear function (a non-vertical straight line) that, as accurately as possible, predicts the dependent variable values as a function of the independent variables. Source: [Wikipedia](https://en.wikipedia.org/wiki/Simple_linear_regression) This Statistic code will return both a gradient and an intercept value. | ## CodeSystem XML ```xml <status value="active"/> <experimental value="false"/> <date value="2022-12-01T09:29:23+11:00"/> <publisher value="HL7 (FHIR Project)"/> <contact> <telecom> <system value="url"/> <value value="http://hl7.org/fhir"/> </telecom> <telecom> <system value="email"/> <value value="fhir@lists.hl7.org"/> </telecom> </contact> <description value="The statistical operation parameter -"statistic" codes."/> <caseSensitive value="true"/> <valueSet value="http://hl7.org/fhir/ValueSet/observation-statistics"/> <content value="complete"/> <concept> <code value="average"/> <display value="Average"/> <definition value="The [mean](https://en.wikipedia.org/wiki/Arithmetic_mean) of N measurements over the stated period."/> </concept> <concept> <code value="maximum"/> <display value="Maximum"/> <definition value="The [maximum](https://en.wikipedia.org/wiki/Maximal_element) value of N measurements over the stated period."/> </concept> <concept> <code value="minimum"/> <display value="Minimum"/> <definition value="The [minimum](https://en.wikipedia.org/wiki/Minimal_element) value of N measurements over the stated period."/> </concept> <concept> <code value="count"/> <display value="Count"/> <definition value="The [number] of valid measurements over the stated period that contributed to the other statistical outputs."/> </concept> <concept> <code value="total-count"/> <display value="Total Count"/> <definition value="The total [number] of valid measurements over the stated period, including observations that were ignored because they did not contain valid result values."/> </concept> <concept> <code value="median"/> <display value="Median"/> <definition value="The [median](https://en.wikipedia.org/wiki/Median) of N measurements over the stated period."/> </concept> <concept> <code value="std-dev"/> <display value="Standard Deviation"/> <definition value="The [standard deviation](https://en.wikipedia.org/wiki/Standard_deviation) of N measurements over the stated period."/> </concept> <concept> <code value="sum"/> <display value="Sum"/> <definition value="The [sum](https://en.wikipedia.org/wiki/Summation) of N measurements over the stated period."/> </concept> <concept> <code value="variance"/> <display value="Variance"/> <definition value="The [variance](https://en.wikipedia.org/wiki/Variance) of N measurements over the stated period."/> </concept> <concept> <code value="20-percent"/> <display value="20th Percentile"/> <definition value="The 20th [Percentile](https://en.wikipedia.org/wiki/Percentile) of N measurements over the stated period."/> </concept> <concept> <code value="80-percent"/> <display value="80th Percentile"/> <definition value="The 80th [Percentile](https://en.wikipedia.org/wiki/Percentile) of N measurements over the stated period."/> </concept> <concept> <code value="4-lower"/> <display value="Lower Quartile"/> <definition value="The lower [Quartile](https://en.wikipedia.org/wiki/Quartile) Boundary of N measurements over the stated period."/> </concept> <concept> <code value="4-upper"/> <display value="Upper Quartile"/> <definition value="The upper [Quartile](https://en.wikipedia.org/wiki/Quartile) Boundary of N measurements over the stated period."/> </concept> <concept> <code value="4-dev"/> <display value="Quartile Deviation"/> <definition value="The difference between the upper and lower [Quartiles](https://en.wikipedia.org/wiki/Quartile) is called the Interquartile range. (IQR = Q3-Q1) Quartile deviation or Semi-interquartile range is one-half the difference between the first and the third quartiles."/> </concept> <concept> <code value="5-1"/> <display value="1st Quintile"/> <definition value="The lowest of four values that divide the N measurements into a frequency distribution of five classes with each containing one fifth of the total population."/> </concept> <concept> <code value="5-2"/> <display value="2nd Quintile"/> <definition value="The second of four values that divide the N measurements into a frequency distribution of five classes with each containing one fifth of the total population."/> </concept> <concept> <code value="5-3"/> <display value="3rd Quintile"/> <definition value="The third of four values that divide the N measurements into a frequency distribution of five classes with each containing one fifth of the total population."/> </concept> <concept> <code value="5-4"/> <display value="4th Quintile"/> <definition value="The fourth of four values that divide the N measurements into a frequency distribution of five classes with each containing one fifth of the total population."/> </concept> <concept> <code value="skew"/> <display value="Skew"/> <definition value="Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive or negative, or even undefined. Source: [Wikipedia](https://en.wikipedia.org/wiki/Skewness)."/> </concept> <concept> <code value="kurtosis"/> <display value="Kurtosis"/> <definition value="Kurtosis is a measure of the "tailedness" of the probability distribution of a real-valued random variable. Source: [Wikipedia](https://en.wikipedia.org/wiki/Kurtosis)."/> </concept> <concept> <code value="regression"/> <display value="Regression"/> <definition value="Linear regression is an approach for modeling two-dimensional sample points with one independent variable and one dependent variable (conventionally, the x and y coordinates in a Cartesian coordinate system) and finds a linear function (a non-vertical straight line) that, as accurately as possible, predicts the dependent variable values as a function of the independent variables. Source: [Wikipedia](https://en.wikipedia.org/wiki/Simple_linear_regression) This Statistic code will return both a gradient and an intercept value."/> </concept> </CodeSystem> ```