A packaging and metering system, comprising: a weight sorting machine configured to weigh packaged products comprising contents packaged in a packaging material; and a screening machine configured to perform screening of the packaged products to select a conforming packaged product from the packaged products weighed by the weight sorting machine into a conforming package product or a nonconforming packaged product, the screening of the packaged products being performed to meet a regulatory requirement, the regulatory requirement being that an average weight value of a contents of a group of packaged products is greater than or equal to a lower limit value, or an integrated weight value of the contents of a group of packaged products is equal to or greater than a lower-limit value, the packaging and metering system further including a controller configured to divide the packaged products weighed by the weight sorting machine into groups each including plural ones of the packaged products and to determine per group whether the packaged products divided in the groups meet the regulatory requirement based on weight values of the packaged products measured by the weight sorting machine, the controller further being configured to control the screening of the packaged products by the screening machine in a manner that when the regulatory requirement is not met, the controller determines each one of the packaged products in a group as a nonconforming product in the order of smaller to larger measured weight values and excludes the nonconforming product until the regulatory requirement is met, wherein the system further includes a transport path for transporting the packaged products weighed by the weight sorting machine to the screening machine, and wherein the packaged products in a group can be present on the transport path so that the controller can determine whether to meet the regulatory requirement per group before the packaged products are screened by the screening machine a weight sorting machine configured to weigh packaged products comprising contents packaged in a packaging material; and a screening machine configured to perform screening of the packaged products to select a conforming packaged product from the packaged products weighed by the weight sorting machine into a conforming package product or a nonconforming packaged product, the screening of the packaged products being performed to meet a regulatory requirement, the regulatory requirement being that an average weight value of a contents of a group of packaged products is greater than or equal to a lower limit value, or an integrated weight value of the contents of a group of packaged products is equal to or greater than a lower-limit value, the packaging and metering system further including a controller configured to divide the packaged products weighed by the weight sorting machine into groups each including plural ones of the packaged products and to determine per group whether the packaged products divided in the groups meet the regulatory requirement based on weight values of the packaged products measured by the weight sorting machine, the controller further being configured to control the screening of the packaged products by the screening machine in a manner that when the regulatory requirement is not met, the controller determines each one of the packaged products in a group as a nonconforming product in the order of smaller to larger measured weight values and excludes the nonconforming product until the regulatory requirement is met, wherein the system further includes a transport path for transporting the packaged products weighed by the weight sorting machine to the screening machine, and wherein the packaged products in a group can be present on the transport path so that the controller can determine whether to meet the regulatory requirement per group before the packaged products are screened by the screening machine