Using weighted power means, as opposed to arithmetic means, for wind speed statistics is recognized as more relevant to predicting power production from wind turbines. Yet computer models used for hub height wind prediction output arithmetic means, due to the lack of accurate information on wind speed distributions generated by the turbulent flow. The following demonstrates methods used to calculate wind speed statistics using power means, generated from high-frequency (32 Hz) wind measurements, from turbulent flow in the vicinity of a wind turbine array. The dependence of errors, as a function of turbulence intensity, in power production forecasts resulting from the use of arithmetic instead of power means is presented.