Step 1: Understanding the Concept:
Surfactants and cleaning detergents are classified based on the electrical charge of their hydrophilic head group in aqueous solution.
Step 2: Detailed Explanation:
Sodium Lauryl Sulphate (SLS, sodium dodecyl sulfate, $\text{CH}_3(\text{CH}_2)_{11}\text{OSO}_3^-\text{Na}^+$) dissociates in water to yield a hydrophobic hydrocarbon tail attached to a negatively charged sulfate polar head group ($\text{R}-\text{OSO}_3^-$).
Because the active surface-active moiety carries a net negative charge, SLS is classified as an anionic detergent.
Step 3: Final Answer:
Hence, Sodium Lauryl Sulphate is an anionic detergent.