1. An ultrasonic measurement apparatus comprising: an image processing unit that generates an image based on a reception signal obtained by an ultrasonic echo of an ultrasonic wave transmitted toward an object from an ultrasonic element array provided with a plurality of channels being received by the ultrasonic element array; and an area-of-interest setting unit that sets an area of interest within an area in which the generated image is to be displayed, wherein the image processing unit, when the area of interest is set, adds together the reception signals of respective channels among the plurality of channels with a weight that depends on the reception signals of the respective channels, with respect to data forming a basis of an image to be displayed in the area of interest, and performs image generation based on the reception signal obtained from the adding.