Worksheet: Representing Data with Matrices

In this worksheet, we will practice finding the matrix that represents the given data set.

Q1:

The coach of a school basketball team recorded the statistics of three players in a tournament as follows: Fares: 7 matches, 15 shots, and 5 goals; Ramy: 13 matches, 24 shots, and 8 goals; and, Sherif: 16 matches, 23 shots, and 19 goals. Arrange these 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.

  • 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 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

Q3:

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 6 0 9 0 4 5 7 5 8 5 7 0
  • B | | | | 6 0 9 0 4 5 7 5 8 5 7 0 | | | |
  • C 6 0 9 0 4 5 7 5 8 5 7 0
  • D 6 0 9 0 4 5 7 5 8 5 7 0

Q4:

The table below represents the prices of some drinks in a café. The café owner changes the prices of the drinks, so that each drink is now two times its original price. Determine the matrix that represents the new prices of the drinks.

Drink Small Size Big Size
Strawberry Juice 1.5 5.5
Orange Juice 2 8.5
Mango Juice 3.5 9
  • A 1 . 5 5 . 5 2 8 . 5 3 . 5 9
  • B 4 . 5 1 6 . 5 6 2 5 . 5 1 0 . 5 2 7
  • C 3 . 5 7 . 5 4 1 0 . 5 5 . 5 1 1
  • D 3 1 1 4 1 7 7 1 8

Q5:

A company produces televisions with 32-inch, 42-inch, and 48-inch screens. The first table gives the number of televisions of each screen size produced in factories 𝐴 and 𝐵 during January 2016. The second table gives the same information for February 2016. Express the total number of televisions of each screen size produced in the two months by factories 𝐴 and 𝐵 in a matrix.

Screens produced during January 2016:

Factory 32 inches 42 inches 48 inches
A 820 770 500
B 690 660 620

Screens produced during February 2016:

Factory 32 inches 42 inches 48 inches
A 560 550 830
B 520 700 660
  • A 1 3 4 0 1 4 7 0 1 1 6 0 1 2 5 0 1 2 1 0 1 4 5 0
  • B 1 3 8 0 1 3 6 0 1 3 3 0 1 2 1 0 1 2 1 0 1 2 8 0
  • C 1 2 5 0 1 2 1 0 1 4 5 0 1 3 4 0 1 4 7 0 1 1 6 0
  • D 1 3 8 0 1 3 2 0 1 3 3 0 1 2 1 0 1 3 6 0 1 2 8 0

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