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varSamp

varSamp

Calculate the sample variance of a data set.

Syntax

varSamp(x)

Alias: VAR_SAMP.

Parameters

Returned value

  • Returns the sample variance of the input data set x. Float64.

Implementation details

The varSamp function calculates the sample variance using the following formula:

(xmean(x))2(n1)\sum\frac{(x - \text{mean}(x))^2}{(n - 1)}

Where:

  • x is each individual data point in the data set.
  • mean(x) is the arithmetic mean of the data set.
  • n is the number of data points in the data set.

The function assumes that the input data set represents a sample from a larger population. If you want to calculate the variance of the entire population (when you have the complete data set), you should use varPop instead.

Example

Query:

DROP TABLE IF EXISTS test_data;
CREATE TABLE test_data
(
x Float64
)
ENGINE = Memory;

INSERT INTO test_data VALUES (10.5), (12.3), (9.8), (11.2), (10.7);

SELECT round(varSamp(x),3) AS var_samp FROM test_data;

Response:

┌─var_samp─┐
│ 0.865 │
└──────────┘