Reading Statistical Displays

Overview

In this second lesson of the six-lesson unit Interpret Statistical Information, students develop accuracy and restraint when reading statistical displays. They practise identifying what a display shows before making interpretations, building on prior learning about data, variables and statistical contexts.

Learning intentions

Students will:

• accurately read frequency and two-way tables and common statistical graphs
• identify titles, labels, scales, units, keys, totals and relevant values
• describe distributions and relationships using appropriate statistical vocabulary
• distinguish between what is directly supported by a display and what would be an overclaim

Success criteria

• I can name the display and read its title, labels, scale, units and key.
• I can identify totals, frequencies, percentages and relevant values accurately.
• I can describe what a display shows in context using neutral language.
• I can explain when the display does not provide enough evidence for a claim.

Curriculum links

• Use statistical methods to make an inference: select and use appropriate displays and measures, discuss distributions and communicate findings in context.
• Evaluate a statistically based report: identify variables, sampling or measurement features, and comment on findings using statistical evidence.
• Mathematics and Statistics: investigate and interpret data using relevant contextual knowledge, exploratory data analysis and statistical language.
• Key competencies: thinking; using language, symbols and texts; managing self; participating and contributing.

Lesson structure (60 minutes)

1. 0–8 min · Hook and diagnostic. Open with the hook and display-reading slides showing two versions of the same community survey graph, one with a compressed scale and one with a zero-based scale. Ask, “Which group appears most different, and what would you need to check before deciding?” Students answer two mini-whiteboard questions: identify the scale interval and read one value. Briefly discuss how graph design can affect perception.

2. 8–18 min · Explicit teaching: read before interpret. Use the display-reading checklist slides to model the sequence: name the display; read the title and context; identify who, what, when and where; check how data were measured; inspect labels, units, scale, intervals and key; then locate totals and relevant values. Model one neutral sentence, such as, “In the recorded school travel survey, 18 students travelled by bus.” Contrast this with an unsupported claim such as, “Students prefer buses.” Students annotate the checklist on the display-reading and station worksheet and hold up answers to quick scale, unit and total questions.

3. 18–40 min · Four-station rotation. Place students in groups of six or seven and rotate approximately every 5½ minutes between four displays. Use the station instructions and timer slides to show movement instructions and the prompt: “What, who, when, where, how measured?” At each station, students complete the relevant section of the display-reading and station worksheet and write one neutral, in-context description.

• Station A: a frequency table and two-way table about school travel or sport participation. Students identify row and column totals, frequencies and percentages.
• Station B: a bar graph and dot plot using local weather or community survey data. Students identify categories, scale intervals, mode, clusters and gaps where visible.
• Station C: a stem-and-leaf plot, histogram and box plot using river-quality measurements or another locally relevant numerical dataset. Students read values and describe centre, spread, shape, median, quartiles and possible outliers without claiming causation.
• Station D: a time-series graph and scatter plot using weather, river-quality or participation data. Students describe a trend or association only when it is visibly supported, noting that association does not establish cause.

4. 40–50 min · Peer accuracy check. Students swap worksheets with a partner and use the checklist on the peer-checking slides to verify display names, units, scales, totals and contextual wording. Partners circle any value that cannot be located directly in the display and suggest a precise correction. Teacher circulates, asking, “Where is that supported?” and “What does the display allow us to conclude?”

5. 50–56 min · Class discussion and perception challenge. Display one station graph with a changed scale, category grouping or graph type using the comparison and discussion slides. Students discuss how the change could affect perception while keeping the data unchanged. Invite examples of careful language: “The graph shows…”, “The highest recorded value was…”, “There appears to be…”, and “This display does not show whether…”

6. 56–60 min · Exit ticket and review. Distribute the final section of the display-reading and station worksheet. Students interpret one supplied value and write one accurate in-context sentence, including the unit where relevant. Collect responses and ask students to self-rate their confidence from 1–5 on reading scales and describing displays.

Resources

• the complete display-reading slide deck
• the display-reading and station worksheet
• Four enlarged, colour-coded station displays using weather, river quality, school travel, sport participation or community survey data
• Mini-whiteboards, pens and erasers
• Calculators
• Timer and station signs
• Accessible black-and-white display versions with patterns, symbols or labels in place of colour-only coding

Assessment

• Formatively assess mini-whiteboard responses to scale intervals, units, totals and directly read values.
• During stations and peer checking, listen for accurate vocabulary and question whether statements are supported by the display.
• Use the exit ticket to identify students who confuse frequencies and percentages, misread scales or make unsupported inferences; use responses to plan the next lesson.

Differentiation

• Provide enlarged displays, high-contrast printing, colour-blind-safe palettes, patterns or symbols, and uncluttered layouts with readable fonts.
• Offer partially completed tables, a worked example, calculator support and guided prompts: “The display is…”, “It measures…”, “The highest recorded value is…”.
• Pair students strategically and allow verbal rehearsal before writing; read instructions aloud and check that display labels are accessible for students with literacy, vision or processing needs.
• Extend confident students by asking them to compare how a changed scale, category grouping or graph type affects perception, and to explain which conclusions remain justified.