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2-7 Bar Graphs & Histograms. Pages 85-89. Indicators  D1 -Read and create graphs D2 -Analyze how decisions about graphing affect the graphical representation. What is the difference between a bar graph and a histogram?. There are two differences

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2 7 bar graphs histograms

2-7 Bar Graphs & Histograms

Pages 85-89

Indicators

D1 -Read and create graphs

D2 -Analyze how decisions about graphing affect the graphical representation


What is the difference between a bar graph and a histogram
What is the difference between a bar graph and a histogram?

There are two differences

  • The type of data that is presented

  • The way they are drawn

  • The difference in the way that bar graphs and histograms are drawn is that the bars in bar graphs are usually separated, in histograms the bars are adjacent to each other.

  • This is not always true however. Sometimes you see bar graphs with no spaces between the bars but histograms are never drawn with spaces between the bars


  • Bar graphs
    Bar Graphs

    Bar graphs are usually used to display "categorical data", that is data that fits into categories.

    For example suppose that I

    offered to buy donuts for six

    people and three said they

    wanted chocolate covered,

    2 said plain and

    one said with

    icing & sprinkles.


    Histograms
    Histograms

    Histograms are usually used to present "continuous data", that is data that represents measured quantity where, at least in theory, the numbers can take on any value in a certain range.

    A good example is weight. If you measure the

    weights of a group of adults you might

    get and numbers between 90 lbs. and

    240 lbs. We usually report our weight as

    pounds or to the nearest 1/2 lb. but we

    might do so to the nearest 1/10 lb.

    depending on how accurate the scale is.


    To make a histogram…

    • Remember: A histogram is a particular kind of bar graph.

    • The data that is being represented is in intervals…

    • So…to organize your data, make a

      • Frequency table first!

  • Then transfer the organized data to the histogram


  • Histogram example

    Weights of adults

    40

    30

    20

    10

    # of people

    90 I 150 I 210 I

    Pounds

    Histogram example:

    The weight data would then be collected into categories to present a histogram.

    For Example:

    might be a histogram for weights (with the appropriate scale on the vertical axis). Here the data has been collected into categories of 30 lbs.


    To sum it all up
    To sum it all up…

    • A histogram is a particular kind of bar graph.

    • If you make a bar graph of the favorite colors of children in Mrs. Flaherty's 4th grade class (6 for pink, 8 for blue, 1 for black, etc.) that doesn't qualify as a histogram, because the colors don't correspond to any numerical values, and their order is arbitrary.

    • A different kind of example: you could make a bar graph of monthly returns on your stock investment in January, February, etc. Here, there IS a natural order to the bars, but it still doesn't qualify as a histogram.


    To finish summing it all up
    To finish summing it all up…

    • A histogram is a bar graph of frequencies of different numerical values within a population. The most straightforward kind of example may be a bar graph of the number of 4th grade students by height: how many between 4' and 4'1" between 4'1" and 4'2" between 4'2" and 4'3"

    • Both axis use numbers!


    Homework
    Homework

    Pg. 88 #14-16 and Pg. 569 #1-4


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