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11-1 Representing Data — Practice Questions

  1. 1. A bar graph shows the number of books read by students in three classes. The vertical axis starts at 20 instead of 0. What problem does this create?

    • A. The categories will overlap
    • B. The differences between bars will appear larger than they really are
    • C. The bars will have no gaps between them
    • D. The axis labels will be incorrect
  2. 2. Two stores sell the same item: Store X sells 105 units and Store Y sells 95 units. A bar graph starts its vertical axis at 90. How many units tall is Store X's bar on this graph?

    • A. 105
    • B. 95
    • C. 15
    • D. 10
  3. 3. A bar graph displays favorite sports: Soccer (25 students), Basketball (20 students), Tennis (10 students). The vertical axis correctly starts at 0. The bar for Soccer is ___ units taller than the bar for Tennis.

  4. 4. Which of the following is NOT a required feature of a valid bar graph?

    • A. A title
    • B. A vertical axis starting at 0
    • C. Gaps between the bars
    • D. Bars of equal height
  5. 5. In a bar graph with the vertical axis starting at 60, Candidate A has a bar 9 units tall and Candidate B has a bar 3 units tall. What are their actual vote counts?

    • A. A: 69 votes, B: 63 votes
    • B. A: 9 votes, B: 3 votes
    • C. A: 60 votes, B: 60 votes
    • D. A: 54 votes, B: 57 votes
  6. 6. The data set is $\{2, 6, 4, 2, 6, 2, 4\}$. When constructing a dot plot, how many dots should be stacked above the value $2$? ___

  7. 7. In a dot plot of quiz scores, dots are stacked at values $8, 9, 9, 10, 10, 10$. Which value represents the peak (mode) of this data set?

    • A. $8$
    • B. $9$
    • C. $10$
    • D. $6$
  8. 8. A student records hours of TV watched per day: $\{1, 1, 2, 2, 3, 8\}$. Which value is most likely an outlier on the dot plot?

    • A. $1$
    • B. $2$
    • C. $3$
    • D. $8$
  9. 9. A dot plot shows dots at: one dot above $5$, three dots above $6$, three dots above $7$, and one dot above $10$. How many total data points are represented? ___

  10. 10. A dot plot of students' siblings shows dots clustered at $0, 1, 2$ with no dots at $3$ and a single dot at $5$. What feature does the empty space at $3$ represent?

    • A. A peak
    • B. A cluster
    • C. A gap
    • D. An outlier