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2.2 Graphs and Tables for Quantitative Data Objectives: By the end of this section, I will be able to… 3) Construct and interpret stem-and-leaf displays and dotplots.
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Section 2.2 Part 2 Stem and Leaf Displays and Dotplots
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100657879929567718583 92866386757873869177 79809185766876889698 Stem-and-Leaf Plots: A quick way to organize pieces of data. Each data point is shown.
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Rules for a Stem and Leaf 1) Put Data in Order FIRST 2) Choose your “stem” 3) Organize your leaves with the appropriate stem.
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SORT DATA First thing we want to do is plug the data into our calculators (STAT – EDIT – LIST1) First thing we want to do is plug the data into our calculators (STAT – EDIT – LIST1) Then Sort your data (STAT – SORTA() – 2 nd 1 – ENTER) Then Sort your data (STAT – SORTA() – 2 nd 1 – ENTER)
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100657879929567718583 92866386757873869177928663867578738691779286638675787386917792866386757873869177 79809185766876889698798091857668768896987980918576687688969879809185766876889698 The “stems” will be the digits in the tens place. Place them vertically from smallest to largest. 6789 10 10 63 100
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100657879929567718583 92866386757873869177 79809185766876889698 Working left to right in the data set, places the “leaves” (the digits in the ones place) in the corresponding row in ORDER. 67 8 9 10 101 0 13 1 35 5 03 2 5 5 5 667 6 2 88 6 8 6 99 8 68 7
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100657879929567718583 92866386757873869177 79809185766876889698 63 5 7 8 71 3 5 6 6 7 8 8 9 9 80 3 5 5 6 6 6 8 91 1 2 2 5 6 8 100 100 Stems Leaves 7 1 means 71 71 KEY or LEGEND of the Stem and Leaf Plot
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If the stem and leaf plot is turned sideways, a histogram is created. 99 88888888 868868868868 766766766766 665665665665 8652865286528652 7552755275527552 5331533153315331 31010310103101031010 6789 10 60s 80s 90s 100s 70s Intervals
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How much money did you spend on shoes last year (estimate)? Make a stem and leaf plot displaying our results
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3.25.76.84.95.23.67.86.26.3 4.54.34.95.15.06.03.63.45.7 5.45.87.02.84.15.35.54.96.1 2 8 3 2 4 6 6 4 1 3 5 9 9 9 5 0 1 2 3 4 5 7 7 8 6 0 1 2 3 8 7 0 8 2 8 means 2.8
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DOT PLOTS Simple graph to make Simple graph to make Shows relative positions of numbers Shows relative positions of numbers Allows for quick comparisons Allows for quick comparisons
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How many siblings do you have? 01 2 3456
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Dot Plot Example
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