Question Video: Constructing a Matrix That Represents a Given Set of Data | Nagwa Question Video: Constructing a Matrix That Represents a Given Set of Data | Nagwa

Question Video: Constructing a Matrix That Represents a Given Set of Data Mathematics • First Year of Secondary School

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The coach of a school basketball team recorded the statistics of three players in a tournament as follows. Fady: seven matches, 15 shots, and 5 goals; Bassem: 13 matches, 24 shots, and 8 goals; and Nabil: 16 matches, 23 shots, and 19 goals. Arrange this data in a matrix where the rows represent the players from least goals to most, the first column gives the number of matches, the second column gives the number of shots, and the third column gives the number of goals.

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Video Transcript

The coach of a school basketball team recorded the statistics of three players in a tournament as follows. Fady: seven matches, 15 shots, and five goals. Bassem: 13 matches, 24 shots, and eight goals. And Nabil: 16 matches, 23 shots, and 19 goals. Arrange this data in a matrix where the rows represent the players from least goals to most, the first column gives the number of matches, the second column gives the number of shots, and the third column gives the number of goals.

In this question, we are given the number of matches, shots, and goals for three basketball players in a tournament. We are asked to arrange the data in a matrix. This will be a three-by-three matrix, as there are three players and three pieces of information about each of them. We are told that the first column should represent the number of matches; the second column, the number of shots; and the third column, the number of goals. The rows need to represent the players from least goals to most.

The three players scored five, eight, and 19 goals, respectively. This means that the data is already in the correct order. The first row will represent Fady, the second Bassem, and the third Nabil. In the first row, we have the numbers seven, 15, and five, the number of matches, shots, and goals that Fady had. In the second row, we have the numbers 13, 24, and eight and, finally, in the third row, the numbers 16, 23, and 19. The three-by-three matrix that represents the data that the coach collected is seven, 15, five, 13, 24, eight, 16, 23, 19.

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