For any distribution function f(x), a family of distribution functions, indexed by the parameters μ‎ (the location parameter) and σ‎ (the scale parameter), of the form (1/σ‎)f ((x − μ‎)/σ‎). An example is the normal family: a normal distribution with mean μ‎ and variance σ‎² can be obtained from the standard normal distribution by stretching (σ‎ > 1) or contracting (σ‎ < 1) the graph of standard normal probability density function with the scale parameter and then shifting the graph by the location parameter, so that the point that was above 0 is now above μ‎.