What are Histograms? Histograms vs Bar Graphs?

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Presentation transcript:

What are Histograms? Histograms vs Bar Graphs?

What are Histograms ? Intervals Histograms are a form of bar chart where the data represents continuous rather than discrete categories. This means that in a histogram there are no gaps between the columns representing the different categories. It is continuous. -both the x-axis and y-axis have a scale The height of each bar represents Frequency or the number of hours in that interval. Intervals

Bar Graph ex. A bar graph has separate categories of data. -Not continuous -Separate into categories. -Only Y-axis has scale

Histogram ? Bar Graph? Or something else?

But wait! Here’s a terrible Math song!! https://www.youtube.com/watch?v=nVGThM7dTy4

-one for Price intervals -one for Age intervals Invention Convention Suppose your group is trying to determine the best price range for the product you have developed. You have created a google form to survey people across the neighbourhood. Now you want to also determine what the age of the most popular price range is. How will you gather this data to create a histogram? What will be the intervals? what will be the frequency? Age Price Point 12 $25 20 $23 26 $9 41 $29 33 $16 17 $22 14 $31 27 $30 Since Histograms graph the FREQUENCY of DATA, this chart would make 2 Histograms -one for Price intervals -one for Age intervals We wouldn’t use a histogram to compare the two together. 4 2 4 2 Frequency Frequency 9-16 17-24 25-32 12-21 22-31 32-41 Price Interval ($) Age Interval (years old)

Read pages 216-218 of textbook. Complete Practice Questions # 1, 2 Practice Work: Print Resource Read pages 216-218 of textbook. Complete Practice Questions # 1, 2

Video Resource https://www.youtube.com/watch?v=5IPJjUOqnoA

Math - Data Management : Scatterplots

Scatter Plots What are scatter plots? When do we recognize a Positive Correlation When do we recognize a Negative Correlation When do we recognize No Correlation Video What is the difference between a scatter plot and a line graph? Nearpod Activity Practice Questions

What is the relationship between health & social problems and income inequality? What sort of graph is this?

Positive Correlation, Negative Correlation, No Correlation The correlation in the same direction is called positive correlation. If one variable increase other also increases and one variable decrease other also decrease. Negative Correlation: The correlation in opposite direction is called negative correlation, if one variable is increase other is decrease and vice versa No Correlation or Zero Correlation: If there is no relationship between the two variables such that the value of one variable change and the other variable remain constant is called no or zero correlation.

Deeper look at scatter plots Scatter Plots are graphs in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present. When we want to locate a relationship between two variables, we might utilize a scatterplot. So for example, we all know by now that gun control is an issue over in the states. So, the search for meaning, or what is causing this upsurge in gun violence is a natural response to any tragedy. A lot of people believed that it is because of violence in videogames, why we are seeing an upsurge in mass shootings particularly in schools. Lets look at some scatter plots, and you can determine if there exists a correlation or not.

Scatter Plots

Scatter Plots

Video

Question What information can you gather from this graph? How Big the Relationship Age Gaps Are in Hollywood Films Question What information can you gather from this graph? Is this a line graph? Scatter Plot? Something else? Multiple Line Graph

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Practice Question