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add docs for boundingRatio
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DanRoscigno
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---
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slug: /en/sql-reference/aggregate-functions/reference/boundingRatio
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sidebar_position: 2
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title: boundingRatio
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---
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Aggregate function that calculates the slope between the leftmost and rightmost points across a group of values.
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Example:
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Sample data:
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```sql
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SELECT
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number,
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number * 1.5
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FROM numbers(10)
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```
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```response
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┌─number─┬─multiply(number, 1.5)─┐
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│ 0 │ 0 │
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│ 1 │ 1.5 │
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│ 2 │ 3 │
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│ 3 │ 4.5 │
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│ 4 │ 6 │
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│ 5 │ 7.5 │
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│ 6 │ 9 │
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│ 7 │ 10.5 │
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│ 8 │ 12 │
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│ 9 │ 13.5 │
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└────────┴───────────────────────┘
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```
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The boundingRatio() function returns the slope of the line between the leftmost and rightmost points, in the above data these points are `(0,0)` and `(9,13.5)`.
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```sql
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SELECT boundingRatio(number, number * 1.5)
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FROM numbers(10)
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```
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```response
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┌─boundingRatio(number, multiply(number, 1.5))─┐
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│ 1.5 │
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└──────────────────────────────────────────────┘
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```
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@ -9,74 +9,75 @@ toc_hidden: true
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Standard aggregate functions:
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- [count](../../../sql-reference/aggregate-functions/reference/count.md)
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- [min](../../../sql-reference/aggregate-functions/reference/min.md)
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- [max](../../../sql-reference/aggregate-functions/reference/max.md)
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- [sum](../../../sql-reference/aggregate-functions/reference/sum.md)
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- [avg](../../../sql-reference/aggregate-functions/reference/avg.md)
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- [any](../../../sql-reference/aggregate-functions/reference/any.md)
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- [stddevPop](../../../sql-reference/aggregate-functions/reference/stddevpop.md)
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- [stddevSamp](../../../sql-reference/aggregate-functions/reference/stddevsamp.md)
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- [varPop](../../../sql-reference/aggregate-functions/reference/varpop.md)
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- [varSamp](../../../sql-reference/aggregate-functions/reference/varsamp.md)
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- [covarPop](../../../sql-reference/aggregate-functions/reference/covarpop.md)
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- [covarSamp](../../../sql-reference/aggregate-functions/reference/covarsamp.md)
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- [count](/docs/en/sql-reference/aggregate-functions/reference/count.md)
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- [min](/docs/en/sql-reference/aggregate-functions/reference/min.md)
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- [max](/docs/en/sql-reference/aggregate-functions/reference/max.md)
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- [sum](/docs/en/sql-reference/aggregate-functions/reference/sum.md)
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- [avg](/docs/en/sql-reference/aggregate-functions/reference/avg.md)
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- [any](/docs/en/sql-reference/aggregate-functions/reference/any.md)
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- [stddevPop](/docs/en/sql-reference/aggregate-functions/reference/stddevpop.md)
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- [stddevSamp](/docs/en/sql-reference/aggregate-functions/reference/stddevsamp.md)
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- [varPop](/docs/en/sql-reference/aggregate-functions/reference/varpop.md)
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- [varSamp](/docs/en/sql-reference/aggregate-functions/reference/varsamp.md)
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- [covarPop](/docs/en/sql-reference/aggregate-functions/reference/covarpop.md)
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- [covarSamp](/docs/en/sql-reference/aggregate-functions/reference/covarsamp.md)
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ClickHouse-specific aggregate functions:
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- [anyHeavy](../../../sql-reference/aggregate-functions/reference/anyheavy.md)
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- [anyLast](../../../sql-reference/aggregate-functions/reference/anylast.md)
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- [first_value](../../../sql-reference/aggregate-functions/reference/first_value.md)
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- [last_value](../../../sql-reference/aggregate-functions/reference/last_value.md)
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- [argMin](../../../sql-reference/aggregate-functions/reference/argmin.md)
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- [argMax](../../../sql-reference/aggregate-functions/reference/argmax.md)
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- [avgWeighted](../../../sql-reference/aggregate-functions/reference/avgweighted.md)
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- [topK](../../../sql-reference/aggregate-functions/reference/topk.md)
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- [topKWeighted](../../../sql-reference/aggregate-functions/reference/topkweighted.md)
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- [groupArray](../../../sql-reference/aggregate-functions/reference/grouparray.md)
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- [groupArrayLast](../../../sql-reference/aggregate-functions/reference/grouparraylast.md)
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- [groupUniqArray](../../../sql-reference/aggregate-functions/reference/groupuniqarray.md)
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- [groupArrayInsertAt](../../../sql-reference/aggregate-functions/reference/grouparrayinsertat.md)
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- [groupArrayMovingAvg](../../../sql-reference/aggregate-functions/reference/grouparraymovingavg.md)
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- [groupArrayMovingSum](../../../sql-reference/aggregate-functions/reference/grouparraymovingsum.md)
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- [groupBitAnd](../../../sql-reference/aggregate-functions/reference/groupbitand.md)
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- [groupBitOr](../../../sql-reference/aggregate-functions/reference/groupbitor.md)
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- [groupBitXor](../../../sql-reference/aggregate-functions/reference/groupbitxor.md)
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- [groupBitmap](../../../sql-reference/aggregate-functions/reference/groupbitmap.md)
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- [groupBitmapAnd](../../../sql-reference/aggregate-functions/reference/groupbitmapand.md)
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- [groupBitmapOr](../../../sql-reference/aggregate-functions/reference/groupbitmapor.md)
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- [groupBitmapXor](../../../sql-reference/aggregate-functions/reference/groupbitmapxor.md)
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- [sumWithOverflow](../../../sql-reference/aggregate-functions/reference/sumwithoverflow.md)
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- [sumMap](../../../sql-reference/aggregate-functions/reference/summap.md)
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- [minMap](../../../sql-reference/aggregate-functions/reference/minmap.md)
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- [maxMap](../../../sql-reference/aggregate-functions/reference/maxmap.md)
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- [skewSamp](../../../sql-reference/aggregate-functions/reference/skewsamp.md)
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- [skewPop](../../../sql-reference/aggregate-functions/reference/skewpop.md)
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- [kurtSamp](../../../sql-reference/aggregate-functions/reference/kurtsamp.md)
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- [kurtPop](../../../sql-reference/aggregate-functions/reference/kurtpop.md)
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- [uniq](../../../sql-reference/aggregate-functions/reference/uniq.md)
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- [uniqExact](../../../sql-reference/aggregate-functions/reference/uniqexact.md)
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- [uniqCombined](../../../sql-reference/aggregate-functions/reference/uniqcombined.md)
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- [uniqCombined64](../../../sql-reference/aggregate-functions/reference/uniqcombined64.md)
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- [uniqHLL12](../../../sql-reference/aggregate-functions/reference/uniqhll12.md)
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- [uniqTheta](../../../sql-reference/aggregate-functions/reference/uniqthetasketch.md)
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- [quantile](../../../sql-reference/aggregate-functions/reference/quantile.md)
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- [quantiles](../../../sql-reference/aggregate-functions/reference/quantiles.md)
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- [quantileExact](../../../sql-reference/aggregate-functions/reference/quantileexact.md)
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- [quantileExactLow](../../../sql-reference/aggregate-functions/reference/quantileexact.md#quantileexactlow)
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- [quantileExactHigh](../../../sql-reference/aggregate-functions/reference/quantileexact.md#quantileexacthigh)
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- [quantileExactWeighted](../../../sql-reference/aggregate-functions/reference/quantileexactweighted.md)
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- [quantileTiming](../../../sql-reference/aggregate-functions/reference/quantiletiming.md)
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- [quantileTimingWeighted](../../../sql-reference/aggregate-functions/reference/quantiletimingweighted.md)
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- [quantileDeterministic](../../../sql-reference/aggregate-functions/reference/quantiledeterministic.md)
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- [quantileTDigest](../../../sql-reference/aggregate-functions/reference/quantiletdigest.md)
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- [quantileTDigestWeighted](../../../sql-reference/aggregate-functions/reference/quantiletdigestweighted.md)
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- [quantileBFloat16](../../../sql-reference/aggregate-functions/reference/quantilebfloat16.md#quantilebfloat16)
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- [quantileBFloat16Weighted](../../../sql-reference/aggregate-functions/reference/quantilebfloat16.md#quantilebfloat16weighted)
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- [simpleLinearRegression](../../../sql-reference/aggregate-functions/reference/simplelinearregression.md)
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- [stochasticLinearRegression](../../../sql-reference/aggregate-functions/reference/stochasticlinearregression.md)
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- [stochasticLogisticRegression](../../../sql-reference/aggregate-functions/reference/stochasticlogisticregression.md)
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- [categoricalInformationValue](../../../sql-reference/aggregate-functions/reference/categoricalinformationvalue.md)
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- [anyHeavy](/docs/en/sql-reference/aggregate-functions/reference/anyheavy.md)
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- [anyLast](/docs/en/sql-reference/aggregate-functions/reference/anylast.md)
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- [boundingRatio](/docs/en/sql-reference/aggregate-functions/reference/boundrat.md)
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- [first_value](/docs/en/sql-reference/aggregate-functions/reference/first_value.md)
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- [last_value](/docs/en/sql-reference/aggregate-functions/reference/last_value.md)
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- [argMin](/docs/en/sql-reference/aggregate-functions/reference/argmin.md)
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- [argMax](/docs/en/sql-reference/aggregate-functions/reference/argmax.md)
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- [avgWeighted](/docs/en/sql-reference/aggregate-functions/reference/avgweighted.md)
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- [topK](/docs/en/sql-reference/aggregate-functions/reference/topk.md)
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- [topKWeighted](/docs/en/sql-reference/aggregate-functions/reference/topkweighted.md)
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- [groupArray](/docs/en/sql-reference/aggregate-functions/reference/grouparray.md)
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- [groupArrayLast](/docs/en/sql-reference/aggregate-functions/reference/grouparraylast.md)
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- [groupUniqArray](/docs/en/sql-reference/aggregate-functions/reference/groupuniqarray.md)
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- [groupArrayInsertAt](/docs/en/sql-reference/aggregate-functions/reference/grouparrayinsertat.md)
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- [groupArrayMovingAvg](/docs/en/sql-reference/aggregate-functions/reference/grouparraymovingavg.md)
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- [groupArrayMovingSum](/docs/en/sql-reference/aggregate-functions/reference/grouparraymovingsum.md)
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- [groupBitAnd](/docs/en/sql-reference/aggregate-functions/reference/groupbitand.md)
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- [groupBitOr](/docs/en/sql-reference/aggregate-functions/reference/groupbitor.md)
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- [groupBitXor](/docs/en/sql-reference/aggregate-functions/reference/groupbitxor.md)
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- [groupBitmap](/docs/en/sql-reference/aggregate-functions/reference/groupbitmap.md)
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- [groupBitmapAnd](/docs/en/sql-reference/aggregate-functions/reference/groupbitmapand.md)
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- [groupBitmapOr](/docs/en/sql-reference/aggregate-functions/reference/groupbitmapor.md)
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- [groupBitmapXor](/docs/en/sql-reference/aggregate-functions/reference/groupbitmapxor.md)
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- [sumWithOverflow](/docs/en/sql-reference/aggregate-functions/reference/sumwithoverflow.md)
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- [sumMap](/docs/en/sql-reference/aggregate-functions/reference/summap.md)
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- [minMap](/docs/en/sql-reference/aggregate-functions/reference/minmap.md)
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- [maxMap](/docs/en/sql-reference/aggregate-functions/reference/maxmap.md)
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- [skewSamp](/docs/en/sql-reference/aggregate-functions/reference/skewsamp.md)
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- [skewPop](/docs/en/sql-reference/aggregate-functions/reference/skewpop.md)
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- [kurtSamp](/docs/en/sql-reference/aggregate-functions/reference/kurtsamp.md)
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- [kurtPop](/docs/en/sql-reference/aggregate-functions/reference/kurtpop.md)
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- [uniq](/docs/en/sql-reference/aggregate-functions/reference/uniq.md)
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- [uniqExact](/docs/en/sql-reference/aggregate-functions/reference/uniqexact.md)
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- [uniqCombined](/docs/en/sql-reference/aggregate-functions/reference/uniqcombined.md)
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- [uniqCombined64](/docs/en/sql-reference/aggregate-functions/reference/uniqcombined64.md)
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- [uniqHLL12](/docs/en/sql-reference/aggregate-functions/reference/uniqhll12.md)
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- [uniqTheta](/docs/en/sql-reference/aggregate-functions/reference/uniqthetasketch.md)
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- [quantile](/docs/en/sql-reference/aggregate-functions/reference/quantile.md)
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- [quantiles](/docs/en/sql-reference/aggregate-functions/reference/quantiles.md)
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- [quantileExact](/docs/en/sql-reference/aggregate-functions/reference/quantileexact.md)
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- [quantileExactLow](/docs/en/sql-reference/aggregate-functions/reference/quantileexact.md#quantileexactlow)
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- [quantileExactHigh](/docs/en/sql-reference/aggregate-functions/reference/quantileexact.md#quantileexacthigh)
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- [quantileExactWeighted](/docs/en/sql-reference/aggregate-functions/reference/quantileexactweighted.md)
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- [quantileTiming](/docs/en/sql-reference/aggregate-functions/reference/quantiletiming.md)
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- [quantileTimingWeighted](/docs/en/sql-reference/aggregate-functions/reference/quantiletimingweighted.md)
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- [quantileDeterministic](/docs/en/sql-reference/aggregate-functions/reference/quantiledeterministic.md)
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- [quantileTDigest](/docs/en/sql-reference/aggregate-functions/reference/quantiletdigest.md)
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- [quantileTDigestWeighted](/docs/en/sql-reference/aggregate-functions/reference/quantiletdigestweighted.md)
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- [quantileBFloat16](/docs/en/sql-reference/aggregate-functions/reference/quantilebfloat16.md#quantilebfloat16)
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- [quantileBFloat16Weighted](/docs/en/sql-reference/aggregate-functions/reference/quantilebfloat16.md#quantilebfloat16weighted)
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- [simpleLinearRegression](/docs/en/sql-reference/aggregate-functions/reference/simplelinearregression.md)
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- [stochasticLinearRegression](/docs/en/sql-reference/aggregate-functions/reference/stochasticlinearregression.md)
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- [stochasticLogisticRegression](/docs/en/sql-reference/aggregate-functions/reference/stochasticlogisticregression.md)
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- [categoricalInformationValue](/docs/en/sql-reference/aggregate-functions/reference/categoricalinformationvalue.md)
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- [contingency](./contingency.md)
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- [cramersV](./cramersv.md)
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- [cramersVBiasCorrected](./cramersvbiascorrected.md)
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