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Features

  • Column graphs whose value axis does not start at zero: read the real values, then how many times taller a column looks and how many times bigger it really is
  • Uneven scales and pictographs where a bigger picture is drawn for a bigger number
  • Surveys to judge: too few people, only one kind of person, or a leading question
  • Redraw misleading graphs fairly on a value axis that starts at zero
  • Headlines to check against a table and a graph: true, false or can't tell
  • Made-up data, towns and newspapers
  • A worked example on every page
  • Answer keys included

Skills Covered

  • Read a column graph whose value axis does not start at zero
  • Compare how big a column looks with how big its value really is
  • Spot uneven scales and pictures that grow in two directions
  • Judge whether a survey's sample and question are fair
  • Redraw a misleading graph fairly, starting at zero
  • Decide whether a headline is true, false or can't be told from the data

How to Use This Pack

Five pages for Year 6 on questioning the graphs, surveys and headlines found in print and online. Page 1 shows column graphs whose value axis starts above zero: children read the real values, then work out how many times taller one column looks and how many times bigger its value really is. Page 2 has uneven scales and pictographs where the bigger number gets a bigger picture: children name what is wrong and compare what the graph shows with the real values. Page 3 gives six survey claims to judge as fair or not, with a reason chosen from a short list. Page 4 asks children to redraw three misleading graphs on a fair axis that starts at zero, and page 5 checks newspaper headlines against a table and a graph: true, false or can't tell.

In the Classroom

Draw two columns on the board for 50 and 60, with the value axis starting at 45. Ask how many times taller the second column looks, then how much bigger 60 really is than 50. Talk about why someone might draw a graph like that. Page 3 makes a good discussion: would the answer change if the same question were asked at a different place?

At Home

Look for graphs and survey results in newspapers, on websites or in advertisements. Check together where the value axis starts, whether the steps are equal and who was asked. Would the graph look different if it were drawn fairly?

Tips for Success

  • Check where the value axis starts: does it start at 0?
  • Check that the scale goes up in equal steps
  • A picture twice as tall and twice as wide covers four times the space
  • Ask who was surveyed, how many, and what exactly they were asked
  • A headline can only claim what the data shows

Misleading Graphs

5th Grade

Spotting graphs, surveys and headlines that make data look different from what it really is. Students read graphs whose scales do not start at zero or go up unevenly, compare how big things look with how big they really are, judge surveys, redraw graphs fairly and test headlines against the data.

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What’s Included

  • 5 worksheets with answer keys (10 pages)
  • Graphs that skip zero, uneven scales and growing pictures
  • Survey claims to judge, with reasons
  • Graphs to redraw fairly, and headlines to check
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This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.