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Ten years daily mean wind speed data from thirteen cities in Central and Southern Nigeria were analyzed using six different methods (graphical, empirical methods of Justus and Lysten, method of moment, maximum likelihood method and energy pattern factor) of estimating Weibull parameters. The study was directed at assessing wind characteristics, variation pattern, wind power potential and rate the performance of the various estimation tools. Results indicate that the respective variations in minimum and maximum monthly mean wind speeds at 50 ​m are 3.53 (Afikpo) to 6.63 (Obudu) in October, and 4.62 (Abuja) to 9.16 ​m/s (Obudu) in April respectively. Annual mean wind speeds range from 4.06 in Afikpo to 8.01 ​m/s in Obudu. Obudu has highest monthly and annual wind power densities of 435.00 and 307.78W/m2, respectively while corresponding minimum of 30.52 and 46.02W/m2 were observed in Afikpo. Gboko (k ​= ​4.53) has the steadiest wind regime while Abuja (k ​= ​2.49) has the least. The wind speeds vary with location, elevation and season. Cities in Central and Southern parts of Nigeria belong to wind power classes 1–4. However, in Obudu, where elevation is higher than 1000 ​m, installation of a wind turbine with moderate power rating was recommended. Performance ratings of the various techniques adopted in the study, assessed using coefficient of determination, root mean square technique, mean bias error and mean absolute percentage error, show that the maximum likelihood method is a better technique for accurate estimation of the Weibull parameters, while the graphical method was the least performing technique.