D. Data · Two-Variable Data, Scatter Plots and ProbabilityTelling a Data Story: Infographics with Tables and Scatter PlotsD1.4 D1.3 D1.5 A1About 60 minutesLearning goalsI can plan an infographic that tells the story of a two-variable data set.I can include a table of values and a scatter plot with a title, labels, scales and a source.I can add other useful information, like means, a description of the relationship, a headline and a takeaway.I can give and use feedback to improve an infographic.Words to knowinfographicA poster or page that combines graphs, tables, numbers, short text and pictures to tell a clear story about data.headlineA short title that states the main message of the data, not just the topic.takeawayWhat the reader should remember or do after seeing the infographic.audienceThe people the infographic is made for.Remember from Grade 7Your Grade 7 infographics used tables and circle graphs to tell a story about one-variable data. In Grade 8 the star of the infographic is the scatter plot, with a table of values, because the story is about a relationship between two variables.A story, not a pile of numbersA good infographic answers one question in a way a busy reader can understand in 30 seconds. The soccer team manager wants parents to understand why the team needs more water on hot days. Here's what her infographic could include:A headline that states the message: "Hotter Days, Thirstier Team" (not just "Water Data").The scatter plot, with title, axis labels, scales and source.The table of values, or the key rows from it.Key numbers: the mean of each variable, the range, the number of practices.A description of the relationship: strong positive, and any outliers.A takeaway or decision: what parents should do.Source and limits: where the data came from and how much of it there was.On a hot day, a team drinks more water at practice. Pairing each day's temperature with the amount of water used gives the two-variable data behind the manager's infographic. AI-generated imageHotter Days, Thirstier TeamHow much water our soccer team drinks at practiceTemperature (°C) →Water (L) →Strong positive23.4°Cmean high14.7 Lmean waterAbove 25°C: packat least 17 LSource: team manager's records, 10 practicesA sketch of an infographic layout: a headline, a small scatter plot of the 10 practices, a box describing the relationship, two key means, a takeaway, and the source. A real infographic would show the full scatter plot with scales and the table of values too.Worked exampleExample 1: Finding the key numbersFind the mean, median and range of each variable in the soccer data: temperatures 14, 17, 19, 21, 23, 25, 26, 28, 30, 31 (°C) and water 9, 10, 12, 12, 14, 15, 17, 18, 19, 21 (L).Mean temperature: 14 + 17 + 19 + 21 + 23 + 25 + 26 + 28 + 30 + 31 = 234. 234 ÷ 10 = 23.4°C.Mean water: 9 + 10 + 12 + 12 + 14 + 15 + 17 + 18 + 19 + 21 = 147. 147 ÷ 10 = 14.7 L.Medians (the values are already in order; average the 5th and 6th values): temperature (23 + 25) ÷ 2 = 24°C; water (14 + 15) ÷ 2 = 14.5 L.Ranges: temperature 31 − 14 = 17°C; water 21 − 9 = 12 L.Mean high 23.4°C, mean water 14.7 L; medians 24°C and 14.5 L; ranges 17°C and 12 L. Pick the one or two numbers that help the story most, not all of them.Temperature and Water Drunk at Practice10152025303505101520250Daily high temperature (°C)Water (L)Source: team manager's records, 10 practicesThe full scatter plot for the infographic: 10 practices from (14°C, 9 L) to (31°C, 21 L).Worked exampleExample 2: Writing the headline and takeawayWrite a headline, a one-sentence description of the relationship, and a takeaway for the soccer infographic.Headline: short, states the message. "Hotter Days, Thirstier Team".Relationship: "There is a strong positive relationship: on hotter days, the team drinks more water." Add a number: "from 9 L at 14°C to 21 L at 31°C".Takeaway (decision): at the 5 practices of 25°C or more, the team drank 15 to 21 L, with a mean of 18 L (15 + 17 + 18 + 19 + 21 = 90, and 90 ÷ 5 = 18). At the 4 practices of 26°C or more it always drank at least 17 L. So: "When the forecast is above 25°C, pack at least 17 L, and extra on the hottest days."Headline: Hotter Days, Thirstier Team. Relationship: strong positive, from 9 L at 14°C to 21 L at 31°C. Takeaway: pack at least 17 L when it's above 25°C.Worked exampleExample 3: Giving feedbackJonah's first draft of a ball-bounce infographic has the headline "Ball Data", a scatter plot with no axis labels, 9 different fonts, and no source. Give him kind, useful feedback.Start with a strength: "Your scatter plot points are plotted accurately."Be specific about improvements: "Your headline could say the message, like 'Drop It Higher, It Bounces Higher.'" "Add axis labels with units (cm)." "Add a source line: who did the experiment and how many trials."Suggest design: "Using one or two fonts would make it easier to read."Feedback that names a strength, gives specific next steps, and is about the work, not the person, helps Jonah improve. When you get feedback, decide which suggestions make your story clearer and use them.Infographic checklistDoes the headline state the message?Is there a scatter plot with title, axis labels, units, scales and source?Is there a table of values (or the key data)?Are the key numbers correct and useful?Is the relationship described (strength, direction, outliers)?Is there a takeaway or decision?Are the limits stated (how many, when, who)?Is it easy to read in 30 seconds?Just for funAn infographic that takes 10 minutes to read isn't an infographic. It's a novel with charts.Hands-on activityMake your own infographicYou need: a large sheet of paper (or a slide on a computer), markers or pencil crayons, a ruler, and two-variable data: your pendulum or ball-bounce data, your family height and foot length data, or the hot chocolate data from this unit.Decide your audience and your one main message.Draw the scatter plot carefully (title, labels, units, scales, source).Add the table of values.Calculate one or two key numbers (like the means).Write a headline, a relationship sentence and a takeaway.Add simple icons or pictures that match the data (a ball, a ruler, a cup).Show it to a family member for 30 seconds, then ask them what the main message was. If they can't say it, revise!What to look for: someone who has never seen your data can tell you the relationship and the takeaway after a quick look.Your turn1Which headline is better: "Temperature and Hot Chocolate" or "Colder Days, More Hot Chocolate"? Why?Show answer"Colder Days, More Hot Chocolate", because it states the message (the relationship), not just the topic.2Find the mean number of cups sold in the hot chocolate data: 62, 58, 55, 49, 47, 40, 38, 31, 30, 22.Show answer43.2 cups. The sum is 432, and 432 ÷ 10 = 43.2.3Name three things an infographic about two-variable data should include.Show answerAny three of: a headline with the message, a scatter plot (with title, labels, scales, source), a table of values, key numbers, a description of the relationship, a takeaway, the source and limits.4Why include the source and the number of practices on the soccer infographic?Show answerSo readers know where the data came from and how much there was, and can judge how reliable the message is.5Write a relationship sentence for Jonah's ball data: drop heights 25 to 150 cm, bounces 15 to 88 cm, close to a straight line.Show answerSample: "There is a strong positive relationship: the higher the drop, the higher the bounce, from 15 cm at a 25 cm drop to 88 cm at a 150 cm drop."6Find the median of the soccer water data: 9, 10, 12, 12, 14, 15, 17, 18, 19, 21.Show answer14.5 L. There are 10 values, so average the 5th and 6th: (14 + 15) ÷ 2 = 14.5.More practice: warm-up1What is an infographic?Show answerA page or poster that uses graphs, tables, numbers, short text and pictures to tell a clear story about data.2Which graph is the star of a Grade 8 two-variable infographic?Show answerThe scatter plot.3What is a takeaway?Show answerWhat the reader should remember or do after seeing the infographic.4Find the range of the temperatures 14 to 31°C.Show answer17°C. 31 − 14 = 17.5True or false: an infographic should include every number you calculated.Show answerFalse. Include the numbers that help the story; too many make it hard to read.More practice: on your own1Find the mean drop height and mean bounce height for Jonah's data: (25, 15), (50, 29), (75, 44), (100, 58), (125, 74), (150, 88).Show answerDrop: 25 + 50 + 75 + 100 + 125 + 150 = 525, and 525 ÷ 6 = 87.5 cm. Bounce: 15 + 29 + 44 + 58 + 74 + 88 = 308, and 308 ÷ 6 ≈ 51.3 cm.2The hot chocolate infographic is for the rink's volunteer staff. Write a useful takeaway.Show answerSample: "On days colder than −8°C we sold 55 to 62 cups, so prepare at least 65 cups on very cold days, and extra on tournament days."3A classmate's infographic has a circle graph of temperature and water. What feedback would you give?Show answerKindly explain that a circle graph shows parts of a whole for one variable; it can't show a relationship between two numerical variables. Suggest a scatter plot.4Give two limits to put on the soccer infographic.Show answerAny two: only 10 practices; one team (one age group); one season; water was measured by the bottles used, which may not be exact; other things (practice length, humidity) could also affect water.5Why should the scatter plot on the infographic start the temperature axis just below 14°C (with a zigzag) instead of at 0°C?Show answerAll the temperatures are between 14 and 31°C. Starting at 0 would leave the left part empty and squeeze the points. A zigzag shows the break honestly.Challenge1The manager adds an 11th practice: 33°C and 23 L. Find the new mean water amount. Does the relationship change?Show answerNew total: 147 + 23 = 170, and 170 ÷ 11 ≈ 15.5 L. The new point fits the pattern (hotter, more water), so the relationship is still strong positive.2Design a two-variable infographic question about your community (not from this lesson). Name the variables, the graph, two key numbers you'd include, and a possible takeaway.Show answerSample: "Does the amount of snowfall affect how long the morning bus takes?" Variables: snowfall (cm) and bus trip time (min). Graph: scatter plot plus table. Key numbers: mean trip time on days with no snow and on days with over 10 cm. Takeaway: "On days with over 10 cm of snow, leave 10 minutes earlier." (Any well-reasoned design is fine.)3A student wants to show both the relationship between temperature and water and how water use changed over the season. Suggest how to fit both in one infographic.Show answerUse a scatter plot (temperature vs water) for the relationship, and a small broken-line graph (date vs water) for the change over time. Label each clearly and connect them with a sentence, like "Water use peaked in July, our hottest month."Check your understandingQuiz1. Which is the best infographic headline?Hotter Days, Thirstier TeamTemperature vs. WaterData2. The temperatures sum to 234 for 10 practices. What is the mean?24°C234°C23.4°C3. Which belongs in a Grade 8 two-variable infographic?Every calculation you madeA graph with no labels so it looks cleanA scatter plot with labels, scales and source4. What is the purpose of a takeaway?To make the poster longerTo list the unitsTo tell readers what to remember or do5. Which feedback is most helpful?It's bad.Make it like mine.Your points are accurate. Adding units to your axis labels would make it clearer.6. Water: 9, 10, 12, 12, 14, 15, 17, 18, 19, 21. What is the median?14 L14.5 L14.7 LMark lesson completeFor parents and teachersBig idea: The Ontario curriculum (D1.4) asks Grade 8 students to create an infographic about a data set, representing the data in tables and scatter plots, and including other relevant information that helps tell a story about the data. Your child will also practise D1.3 (graph features) and D1.5 (describing relationships).Common difficulties:Headlines that name a topic instead of a message.Too much clutter: every number, many fonts, decorations that don't match the data.Graphs missing labels, units, scales or a source.Forgetting limits (how many, when, who).How to help: Be the "30-second reader": look at the infographic for 30 seconds and say what you think the message is. If you can't, help your child revise. Model kind, specific feedback (a strength plus a next step). This builds A1 skills in communication and giving and receiving feedback.PreviousMisleading Graphs and Misleading ClaimsNextProbability with Venn Diagrams: And, Or, Not