Practice Maths

Topic Review — Displaying Data

Mixed Practice — L47 – L49

This review covers all lessons in the Displaying Data topic. Try each question before checking your answers.

Review Questions

  1. Choose the right display: Fluency

    1. Name the best display for: test scores of 25 students ranging from 42 to 98.
    2. Name the best display for: how a household budget is divided across 6 categories.
    3. Name the best display for: the number of rainy days each month for a year.
    4. Name the best display for: the number of laps swum by 10 swimmers at a carnival (values 4–9).
    5. Name the best display for: a student's mark in 5 subjects this term.

  2. Create a stem-and-leaf plot: Fluency

    Create a stem-and-leaf plot for this dataset of Year 7 students' heights (cm):

    152, 167, 145, 173, 158, 162, 149, 165, 171, 154, 168, 147, 163, 176, 155

    1. Draw the completed stem-and-leaf plot with leaves in order.
    2. What is the tallest height recorded?
    3. How many students are in the 160s?
    4. What is the range of heights?

  3. Read and interpret a stem-and-leaf plot: Fluency

    Use this stem-and-leaf plot showing laps swum per session for a swim squad:

    StemLeaves
    24   6   8
    30   2   5   5   8
    41   3   6
    50   2

    Key: 3 | 5 = 35 laps

    1. How many sessions are recorded?
    2. What is the minimum and maximum number of laps?
    3. What is the most common number of laps (mode)?
    4. In which stem group do most sessions fall?

  4. Identify misleading graph features: Understanding

    1. A bar graph shows sales of two products: Product A bar reaches 82 and Product B bar reaches 78. The y-axis starts at 75. A student says "Product A sells more than double Product B." Explain why this is incorrect and what the data actually shows.
    2. A line graph shows temperature over a week. The y-axis has uneven intervals: 0, 5, 10, 20, 30. How might this distort the appearance of the data?
    3. What three features must every graph have to be considered accurate and complete?

  5. Compare two datasets: Understanding

    Two athletes record their sprint times (seconds) over 8 training runs:

    Athlete A: 11.2, 11.5, 11.3, 11.6, 11.4, 11.2, 11.5, 11.3

    Athlete B: 10.8, 12.1, 11.0, 12.4, 10.9, 11.8, 11.2, 12.0

    1. What is the range for each athlete?
    2. Which athlete is more consistent? Justify your answer.
    3. Which athlete has the fastest single time?
    4. Write a two-sentence comparison of the two athletes.

  6. Interpret data in context: Problem Solving

    1. A scientist monitors the number of birds spotted at a wetland each month: 12, 18, 25, 34, 41, 38, 32, 28, 19, 14, 9, 11. Identify two patterns in this data (e.g. when counts are high/low) and suggest a possible reason for each pattern.
    2. The dataset 5, 6, 7, 7, 8, 8, 8, 9, 9, 52 includes one outlier. Describe the shape of the data without the outlier. How does including the outlier affect your description of the spread?
    3. A class survey found that students spent the following minutes on homework last night: 0, 0, 5, 10, 15, 20, 20, 25, 30, 60. Describe the distribution (spread, shape, any outliers). What does this tell you about homework habits in this class?

  7. Describe graphs: Fluency

    1. Name two features that a pie chart can show that a stem-and-leaf plot cannot.
    2. Name one advantage of a stem-and-leaf plot over a bar chart.
    3. What is the difference between a bar chart and a histogram?
    4. True or False: a pie chart can display data about a person’s daily activities in hours.

  8. Dot plot: the following scores were recorded in a quiz out of 10: 5, 7, 6, 8, 7, 9, 7, 6, 8, 7, 5, 10, 8, 7, 6. Understanding

    1. Draw a dot plot for this data.
    2. What is the mode?
    3. How many students scored 8 or above?
    4. What fraction of students scored below 7?

  9. A survey asks 20 students how many books they read last month. Results: 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 12. Understanding

    1. What would be the best type of display to show this data?
    2. Create a frequency table grouping the data: 0–2, 3–5, 6–8, 9+.
    3. The value 12 is much larger than the others. What effect might it have on the mean?

  10. Design a survey and display: Problem Solving

    1. You want to find out how Year 7 students travel to school. Write two survey questions you could ask.
    2. What type of graph would best display the results of “how do you get to school?” Justify your choice.
    3. Explain one way your survey could be biased and how you would fix it.
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