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Worksheet: Representing Data with Matrices

Q1:

The coach of a school basketball team recorded the statistics of three players in a tournament as follows: Daniel: 7 games, 15 shots, and 5 goals; James: 13 games, 24 shots, and 8 goals; and, Ethan: 16 games, 23 shots, and 19 goals. Order these data in a matrix where the rows represent the players from least goals to 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.

  • A 7 1 5 5 1 6 2 3 1 9 1 3 2 4 8
  • B 1 6 2 3 1 9 1 3 2 4 8 7 1 5 5
  • C 7 1 5 5 1 3 2 3 8 1 6 2 4 1 9
  • D 7 1 5 5 1 3 2 4 8 1 6 2 3 1 9

Q2:

The coach of a school basketball team recorded the statistics of three players in a tournament as follows: Benjamin: 22 games, 25 shots, and 7 goals; Jacob: 11 games, 17 shots, and 16 goals; and, Ethan: 10 games, 18 shots, and 6 goals. Order these data in a matrix where the rows represent the players from least goals to 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.

  • A 1 1 1 7 1 6 2 2 2 5 7 1 0 1 8 6
  • B 2 2 2 5 7 1 1 1 7 1 6 1 0 1 8 6
  • C 1 0 1 7 6 1 1 1 8 7 2 2 2 5 1 6
  • D 1 0 1 8 6 2 2 2 5 7 1 1 1 7 1 6

Q3:

The given bar chart shows actual and predicted data for several continents about the percent of the population who live in urban areas. Represent this data in a matrix where the rows represent years in order from past to future, and the columns represent the continents in alphabetical order.

  • A 4 9 6 0 1 5 3 7 5 1 4 1 5 4 5 1 7 2 7 8 7 6 8 4 6 4 7 9 8 7
  • B 0 . 1 5 0 . 3 7 0 . 5 1 0 . 1 7 0 . 4 1 0 . 5 4 0 . 5 1 0 . 7 2 0 . 7 8 0 . 4 2 0 . 7 6 0 . 8 4 0 . 6 4 0 . 7 9 0 . 8 7
  • C 0 . 2 9 0 . 4 9 0 . 6 0 0 . 1 5 0 . 3 7 0 . 5 1 0 . 1 7 0 . 4 1 0 . 5 4 0 . 5 1 0 . 7 2 0 . 7 8 0 . 4 2 0 . 7 6 0 . 8 4 0 . 6 4 0 . 7 9 0 . 8 7
  • D 0 . 1 5 0 . 1 7 0 . 5 1 0 . 4 2 0 . 6 4 0 . 3 7 0 . 4 1 0 . 7 2 0 . 7 6 0 . 7 9 0 . 5 1 0 . 5 4 0 . 7 8 0 . 8 4 0 . 8 7
  • E 1 . 5 5 . 1 1 . 7 4 . 2 6 . 4 3 . 7 7 . 2 4 . 1 7 . 6 7 . 9 5 . 1 7 . 8 5 . 4 8 . 4 8 . 7

Q4:

The bar chart shows the number of kilowatt-hours of energy produced and consumed in three countries over a certain time period. Represent these data in a matrix whose rows represent Brazil, France, and Canada, in that order, and whose columns represent production and consumption, in that order.

  • A
  • B
  • C
  • D