1. A system comprising: a battery management system (BMS) to control a battery; and a device for predicting a state-of-health of the battery, the device comprising: an SOH estimation unit that estimates state-of-health (SOH) estimation values for predicting an aged degree of the battery periodically or in response to a request signal; a data storage unit that aligns the SOH estimation values in an ascending order or a descending order and stores the SOH estimation values to create a history table; and a processing unit that extracts candidate values from the SOH estimation values aligned in the history table other than the values that are stored in the upper and lower portions among the SOH estimation values stored in the history table to determine a targeted SOH of the battery based on the candidate values and transmits the targeted SOH to the BMS, wherein the BMS controls the discharging and charging of the battery based on the targeted SOH.