The study objective is to determine the possibility of identifying the state of strength abilities development in boys aged 12-14, using the methodology of multidimensional statistics. Materials and methods. The study involved boys: 12 (n =35), 13 (n = 36), 14 (n = 36) years old. The study used the following methods: analysis and collation of scientific and methodological literature, general scientific methods of theoretical level, such as analogy, analysis, synthesis, abstraction, induction, as well as general scientific methods of empirical level: observation, testing, experiment. The testing program included well-known tests. Results. In identifying the state of motor abilities development in boys aged 12-14, the most important results were obtained in tests: 10 “Squats Test (two legs), quantity of times” (0.519), 9 “Trunk Lift Test, quantity of times” (0.497), 21 “Flamingo Balance Test - single leg balance test” (-0.496), 1 “Pull-Up / Chin Up Test (low crossbar), quantity of times” (0.428), 19 “Hand Tapping Test, sec.” (-0.427), 20 “Seated Forward Bend, cm” (-0.412), 5 “The subject lies in prone position, arms bent at the elbow 90 degrees - hold position in seconds” (0.408). These tests characterize the comprehensive development of motor abilities in boys aged 12-14.  In identifying the state of motor abilities development in boys aged 13-14, the most important results were obtained in tests: 8 “Decline Reverse Crunch on Bench, quantity of times” (-0.989), 11 “Single Leg Squat (SLS) Test - right leg, quantity of times” (0.965), 1 “Pull-Up / Chin Up Test (low crossbar), quantity of times” (0.676), №13 “Single Leg Squat (Pistol) - right leg” (0.682), 17 “Eurofit Sit Up Test (for 30 sec.), quantity of times” (0.454). These tests characterize the development level of  relative and static leg strength, strength endurance of abdominal muscles, and dynamic strength of shoulder muscles. Conclusions. A discriminant analysis made it possible to determine informative indicators for comprehensive control of motor abilities development in boys aged 12-14; to answer the question as to how significantly the states of motor abilities development in boys aged 12, 13 and 14 differ; what motor tests most substantially influence the differentiation of classes; what class the object belongs to based on the values of discriminant variables. To identify the level of motor abilities development in boys aged 12-14 years, it is necessary to focus on the indicators of relative strength and strength endurance; in boys aged 13 and 14 years – on the indicators of strength endurance of abdominal muscles and endurance of leg muscles.

Purpose:The purpose of the study is to determine the possibility of recognizing the state of power abilities development in girls aged 12-14 years based on the methodology of multidimensional statistics. Material:The study involved girls: 12 (n =21), 13 (n = 20), 14 (n = 19) years old. Conclusions:Discriminant analysis allowed to determine informative indicators for cross-control of the development of power abilities in girls aged 12-14 years; answer the question of how significantly the state of development of power abilities in girls of 12, 13 and 14 years is different; which motor tests most significantly affect the differentiation of classes; which class the object belongs to (based on the values of discriminant variables). In order to recognize the level of development of power abilities in girls aged 12-14 years, it is necessary to be guided by the indicators of relative and static strength and strength endurance; at girls of 13 and 14 yearsstrength endurance.

We consider complex coordination movements of archers as  systems undergoing energy and information exchange processes. Connection between system entropy change and information input is employed during analysis. Examples are provided of cases when system entropy decreases with increase of information input.

The objective is to systematize and adapt the basic definitions and concepts of the systems approach, mathematical modeling and information technologies to sports science.Materials and methods. The research has studied the availability of appropriate terms in shooting sports, which would meet the requirements of modern sports science. It has examined the compliance of the shooting sports training program for children and youth sports schools, the Olympic reserve specialized children and youth schools, schools of higher sports skills, and sports educational institutions with the modern requirements and principles.Research results. The paper suggests the basic definitions adapted to the requirements of technical sports and sports science. The research has thoroughly analyzed the shooting sports training program for children and youth sports schools, the Olympic reserve specialized children and youth schools, schools of higher sports skills, and sports educational institutions. The paper offers options to improve the training program in accordance with the modern tendencies of training athletes. Conclusions. The research suggests to systematize and adapt the basic definitions and concepts of the systems approach, mathematical modeling and information technologies using the example of technical sports.