← 7th Grade Math
Math 7 U3-L8 Statistics and Data Analysis

Misleading Statistics

A bakery's sign says the average pay is $49,000 a year, and every worker there earns less. Nobody lied, and the sign is still misleading.

Teacher Notes

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Lesson Goal

By the end of this lesson your student should be able to check where a graph's scale starts, compare the mean with the median when a data set has an outlier, ask who was counted, and say which number gives the fairest picture.

Where Students Get Stuck

๐Ÿšจ Believing that a misleading statistic must be a lie. Every number in this lesson is true, and the picture it leaves in your head is the problem.

Judging a bar graph by how tall the bars look and not by the numbers on the side.

Thinking the mean is always the best average. With an outlier in the data, the median is usually fairer.

Teaching Suggestion

Have the student bring in one ad or one graph from a magazine or a website and run it through the three questions. Finding a real one is the surest way to make the habit stick.

Key Vocabulary

Misleading
Giving the wrong idea even though the numbers are real, such as a graph with a stretched scale.
Axis
The number line along the side or bottom of a graph. Check where it starts.
Outlier
A value that sits far away from the rest of the data, such as the owner's pay.
Sample
The group of people who were asked or counted. A fair one is big and mixed.
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Before You Start

The Words

The words this lesson uses. Tap a card to see what it means, then come back to them whenever a question uses one.

Part One

The Questions

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Questions about the story you just read. Pick your answer straight off, or press Find it in the story if you would rather hunt for the sentence first.

Part Two

Vocabulary Check

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The word cards are at the top of this page. Look back at them as often as you need, then answer.

When you finish: write the answers out in your own words — not copied word for word from the choices. Saying it your own way is the part that proves you understood it. Then use Print Answer Sheet for a one-page record of what was answered and scored.
Open The Homework SheetDo it on screen or print it. Your score shows here once you check it.