The objective of this study was to propose approaches to the confidence intervals for the net and metabolizable energy requirements for maintenance and for the efficiency of utilization of metabolizable energy for maintenance and weight gain in beef cattle. A simulated population of 100,000 animals was used to demonstrate the distributional properties of the energy requirements. One hundred random samples (n = 100) were taken from a simulated population (n = 100,000). From those samples it was obtained through the Qui-Square and Kolmogorov-Smirnoff tests that net and metabolizable energy requirements for maintenance can be studied by using the properties of the normal distribution (P > 0.05). This condition can be reinforced by the sigmoid pattern showed by the upper limits of the confidence intervals when plotted in a scatter graph. The confidence intervals approaches were proposed and demonstrated using the properties of the normal distribution, and using approaches based on anamorphosis techniques and on utilization of a Taylor’s series. A data set of 158 animals was used to demonstrate and validate the proposed approaches. The methods that were developed in this study allow obtaining the variance information and confidence intervals for the energy requirements of cattle more affordable by ruminant nutrition researchers, who can obtain confidence intervals for both energy requirements and efficiency of energy utilization based on information from one single experiment. The results demonstrated the feasibility of use of such approaches, which are relevant tools for the practice of inductive statistics and for the inter- and intra-experimental comparisons.