An ultrasound system, comprising: an ultrasound diagnosis unit configured to transmit ultrasound signals to a target object, receive ultrasound echo signals reflected from the target object and form an ultrasound image including a plurality of pixels arrayed in rows and columns based on the ultrasound echo signals, each pixel having an intensity of gray level; and a processor configured to compute average intensities of pixels included in each of the rows in the ultrasound image, to form a first graph, compute a first plurality of moving averages by using a first plurality of intensity subsets, each of which includes a first number of values, which is determined based on a thickness of a blood vessel of a carotid and a size of the pixel, from among the average intensities, to form a second graph, compute a second plurality of moving averages by using a second plurality of intensity subsets, each of which includes a second number of values, which is determined based on a thickness of a vascular wall of the carotid and the size of the pixel, from among the average intensities, to form a third graph, wherein the processor is further configured to set an intima-media thickness measuring region by using inflection points from the second and third graphs. an ultrasound diagnosis unit configured to transmit ultrasound signals to a target object, receive ultrasound echo signals reflected from the target object and form an ultrasound image including a plurality of pixels arrayed in rows and columns based on the ultrasound echo signals, each pixel having an intensity of gray level; and a processor configured to compute average intensities of pixels included in each of the rows in the ultrasound image, to form a first graph, compute a first plurality of moving averages by using a first plurality of intensity subsets, each of which includes a first number of values, which is determined based on a thickness of a blood vessel of a carotid and a size of the pixel, from among the average intensities, to form a second graph, compute a second plurality of moving averages by using a second plurality of intensity subsets, each of which includes a second number of values, which is determined based on a thickness of a vascular wall of the carotid and the size of the pixel, from among the average intensities, to form a third graph, compute average intensities of pixels included in each of the rows in the ultrasound image, to form a first graph, compute a first plurality of moving averages by using a first plurality of intensity subsets, each of which includes a first number of values, which is determined based on a thickness of a blood vessel of a carotid and a size of the pixel, from among the average intensities, to form a second graph, compute a second plurality of moving averages by using a second plurality of intensity subsets, each of which includes a second number of values, which is determined based on a thickness of a vascular wall of the carotid and the size of the pixel, from among the average intensities, to form a third graph, wherein the processor is further configured to set an intima-media thickness measuring region by using inflection points from the second and third graphs.