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Lesson: Comparing Data

Question Video: Using a Two-Way Frequency Table to Calculate the Mode for a Data Set

01:50

Worksheet: Comparing Data • 12 Questions

Q1:

A factory produces two types of shirt: A and B. To calculate how many of each to produce, the factory gathered data on the sales of their shirts at each of 5 shopping centres. The table shows the sales of a sample of 100 shirts for each shopping centre. Which type of shirt is more popular?

Number of Shopping Centre (1) (2) (3) (4) (5)
Sales of Type A 87 51 26 23 24
Sales of Type B 13 49 74 77 76
  • Atype A
  • Btype B

Q2:

A factory produces two types of shirt: A and B. To calculate how many of each to produce, the factory gathered data on the sales of their shirts at each of 5 shopping centres. The table shows the sales of a sample of 100 shirts for each shopping centre. Which type of shirt is more popular?

Number of Shopping Centre (1) (2) (3) (4) (5)
Sales of Type A 82 79 41 47 57
Sales of Type B 18 21 59 53 43
  • Atype B
  • Btype A

Q3:

This graph shows the number of football matches that two teams played in five months. The blue broken line represents The Crookers, and the black broken line represents The Strokes. For each team, find the mode of the number of matches they played each month.

  • AThe Crookers: 9, The Strokes: 8
  • BThe Crookers: 7, The Strokes: 8
  • CThe Crookers: 5, The Strokes: 6
  • DThe Crookers: 8, The Strokes: 5
  • EThe Crookers: 5, The Strokes: 8

Q4:

This graph shows the number of football matches that two teams played in five months. The blue broken line represents The Crookers, and the black broken line represents The Strokes. For each team, find the mode of the number of matches they played each month.

  • AThe Crookers: 8, The Strokes: 7
  • BThe Crookers: 9, The Strokes: 9
  • CThe Crookers: 7, The Strokes: 9
  • DThe Crookers: 9, The Strokes: 7

Q5:

The broken line graph shows the number of matches that two volleyball teams, the Blue Jays and the Robins, played each month for 5 months. Calculate the median number of matches played by each team.

  • ABlue Jays: 6, Robins: 6
  • BBlue Jays: 5, Robins: 6
  • CBlue Jays: 6, Robins: 7
  • DBlue Jays: 9, Robins: 7
  • EBlue Jays: 9, Robins: 6

Q6:

The broken line graph shows the number of matches that two volleyball teams, the Blue Jays and the Robins, played each month for 5 months. Calculate the median number of matches played by each team.

  • ABlue Jays: 6, Robins: 7
  • BBlue Jays: 5, Robins: 6
  • CBlue Jays: 6, Robins: 8
  • DBlue Jays: 7, Robins: 8
  • EBlue Jays: 7, Robins: 7

Q7:

This broken-line graph shows the scores achieved by two volleyball teams in each of five weeks. Compare the median scores of each team, and interpret the difference between them.

  • AThe Blue Jays have a higher median score, which suggests that, overall, their scores were higher than the other team.
  • BThe Robins have a higher median score, which suggests that, overall, their scores were higher than the other team.

Q8:

This broken-line graph shows the scores achieved by two volleyball teams in each of five weeks. Compare the median scores of each team, and interpret the difference between them.

  • AThe Robins have a higher median score, which suggests that, overall, their scores were higher than the other team.
  • BThe Blue Jays have a higher median score, which suggests that, overall, their scores were higher than the other team.

Q9:

These histograms compare the heights of tall buildings in two cities. Which city has more buildings that are at least 500 but less than 600 feet tall?

  • ACity B
  • BCity A

Q10:

These histograms compare the heights of tall buildings in two cities. Which city has more buildings that are at least 700 but less than 800 feet tall?

  • ACity B
  • BCity A

Q11:

These histograms compare the heights of tall buildings in two cities. Which city has the tallest building?

  • ACity A
  • BCity B

Q12:

This double box-and-whisker plot compares the prices of books in 2 bookstores. Which bookstore has a greater range of prices?