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How to critique and correct misleading graphs?

Grade 10 Math: Master Essential Skills & Concepts

Create, interpret, and critique graphs

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Frequency tables and dot plots

Analyze the Frequency Table

Advantages and disadvantages of different graphs

Misleading graphs

Critiquing data presentation

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Reading and drawing bar graphs

read and draw bar graphs

Reading Bar Graphs

Reading and drawing histograms

Reading and drawing line graphs

Reading Line Graphs

Box-and-whisker plots and scatter plots

Reading and drawing Venn diagrams

Stem and leaf plots

The Leaf and Stem of Numbers

Recognizing the Leaf and Stem of Numbers

Recognizing The Leaf And Stem of Numbers Leaf

Recognizing The Leaf And Stem of Numbers Stem

Reading Stem and Leaf Plots — Median

Reading Stem and Leaf Plots — Range

stem and leaf plots Range

Reading Stem and Leaf Plots

Reading Stem and Leaf Plots — Mean

Reading Stem and Leaf Plots — Mode

Primary trigonometric ratios

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Use tangent ratio to calculate angles and sides (Tan = o / a)

Metric and imperial measurement and conversions

Upper and lower bound

Upper and Lower Bound

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

Surface area and volume

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Central tendency

Median and mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Range and outliers

Range and Outlier Word Problems

Outlier Word Problems

Range Word Problems

Find the Range

Application of averages

Measures of Central Tendency — Word Problem

Find the Means — Data Tables

Find Mean and Mode — Data Table

Identify Outliers — Data Table

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Experimental probability

Probability

Addition rule for "OR"

Addition Rule for "OR"

Multiplication rule for "AND"

Multiplication Rule for "AND"

Conditional probability

Probability involving permutations and combinations

Probability distribution - histogram, mean, variance & standard deviation

Binomial distribution

Binomial Distribution

Mean and standard deviation of binomial distribution

Interpreting Mean and Standard Deviation of Binomial

Financial literacy: gross and net pay

Graphing systems of linear inequalities

Applications of inequalities

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Workplace Mathematics 10

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- Hi, welcome to this question right here. So what we have here is this, okay, the result of the marketing survey done by the travel company on the people's preference during the holidays. So what we have here is staying at home, traveling, reading, spending time with friends. And a total 155 people did the survey. And these are the breakdowns, okay. What they did is they actually put into the bar graph over here. We're going to number people on this side with the categories here: staying home, travel, read and spend time with friends. Now since all numbers here are all above 30, 30's the minimum. So what they did is they did a little zig-zag line right here to cover up everything from zero to 30. And just showing you-- to emphasize on the number from 30 to 50. And I did a bar graph on this. So therefore the traveling company looks at the graph and say that traveling is two times more popular than staying home. Is the company correct? 
The answer for this question is a no. Now if you look at the graph right you're probably agreeing with the company because the traveling's right here and the staying home is right there. So what happened is just by looking at the length of the bar is does look like this is two times as bigger as this one. But that's not a reality. Because the reality is here: 
staying home and traveling is right there. It's 45 versus 35. If you want to figure out a ratio between them you have to take the traveling and divide it by the stay at home. So you take the 45, divide it by 35. You should get 1.29. Let's call it 1.3 then. So it's about one times and one-third more. So it's not even above two times more. So this question here it's misleading. Maybe the traveling company is mislead or they're trying to trick the other people. But the answer for this question is no. All right? Thanks for watching.

It is important to present data accurately. One way to make data easy to understand is to draw them in graphs, such as line graphs, histograms, bar graphs and pictograms. However, if they are not drawn properly, these graphs can be very misleading too. In this section, we will learn 
how to critique graphs and the ways to improve them. 