External climatic conditions such as outdoor air temperature and solar radiation fluctuate randomly with time, and cause the random fluctuation of room air temperature and heating and/or cooling load. So far, the authors have presented a paper which analyzed the stochastic properties of room air temperature and heating load during summer and winter. However, during spring and autumn in Japan, there is a period when room air temperature can be kept within the target temperature range without air-conditioning (the "intermediate period"). If the length of this period can be extended, energy consumption can be saved. In this paper, the stochastic properties of room air temperature in the "intermediate period", and the effects of various means of expanding the "intermediate period" are analyzed. Although the analysis of room air temperature is the main object of this study, the stochastic properties of heating and/or cooling load to maintain the target temperature have been also investigated, for discussing the possibility of simultaneous occurrence of heating and cooling during the day is important in air-conditioning practice. The results of this study show that proper combinations of ventilation and insulation can extend the "intermediate period". In addition, the method of calculation of the probability of switching between heating and cooling in a day is proposed.