Video: Constructing a Matrix That Represents a Given Set of Data

A coach of a school basketball team recorded the statistics of three players in a tournament as follows: Scott: 7 games, 15 shots, and 5 goals; Gregory: 13 games, 24 shots, and 8 goals; and Jason: 16 games, 23 shots, and 19 goals. Order these data in a matrix where the rows represent the players from least goals to the most, the first column gives the number of games, the second column gives the number of shots, and the third column gives the number of goals.

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Video Transcript

A coach of a school basketball team recorded the statistics of three players in a tournament as follows. Scott: seven games, 15 shots, and five goals. Gregory: 13 games, 24 shots, and eight goals. And Jason: 16 games, 23 shots, and 19 goals. Order these data in a matrix where the rows represent the players from least goals to the most. The first column gives the number of games. The second column gives the number of shots. And the third column gives the number of goals.

So our rows need to represent the players from least goals to the most. Scott had five goals. Gregory had eight goals. And Jason had 19 goals. So it would go Scott then Gregory then Jason. The first column represents the number of games. The second column represents the number of shots. And the third represents the number of goals.

So now we can put our numbers into our matrix. Scott had seven games, 15 shots, and five goals. Gregory had 13 games, 24 shots, and eight goals. And Jason had 16 games, 23 shots, and 19 goals. So this would be our final matrix.