Studies on frequency distributions of ambient temperature available in the literature are limited and are developed assuming that the distributions are symmetric about its average value. The present article examines the suitability of a new. parameter (T) over bar(a), and a variable, (T) over bar(a), to depict generalized distributions, (T) over bar(a) is a normalized monthly average daily ambient temperature, while (T) over bar(a) is a normalized daily ambient temperature. They comprise maximum and minimum ambient temperatures (T-a,T-max and T-a,T-min), in addition to monthly average daily ambient temperature, (T) over bar(a), and daily ambient temperature, (T) over bar(a), Correlations have been developed to predict T-a,T-max and T-a,T-max needed in the absence of data. The distributions, developed in terms of (T) over bar(a) and (T) over bar(a) have been suitably represented and tested over 269 locations, latitudes ranging from 8 degrees N to 64 degrees N. The daily ambient temperature values have been predicted within a %rms difference and standard deviations of 0.43% (when T-a＇s are in K) and 1.19 K with the expressions developed in the present study.