--- toc_priority: 302 --- # entropy {#entropy} Calculates [Shannon entropy](https://en.wikipedia.org/wiki/Entropy_(information_theory)) of a column of values. **Syntax** ``` sql entropy(val) ``` **Arguments** - `val` — Column of values of any type. **Returned value** - Shannon entropy. Type: [Float64](../../../sql-reference/data-types/float.md). **Example** Query: ``` sql CREATE TABLE entropy (`vals` UInt32,`strings` String) ENGINE = Memory; INSERT INTO entropy VALUES (1, 'A'), (1, 'A'), (1,'A'), (1,'A'), (2,'B'), (2,'B'), (2,'C'), (2,'D'); SELECT entropy(vals), entropy(strings) FROM entropy; ``` Result: ``` text ┌─entropy(vals)─┬─entropy(strings)─┐ │ 1 │ 1.75 │ └───────────────┴──────────────────┘ ```