# Displaying & Analyzing Data

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01-Jan-2016Category

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Displaying & Analyzing DataStem-and-leaf PlotBox-and-Whisker PlotVenn Diagrams

Statistics: The branch of mathematics that deals with collecting, organizing, analyzing or interpreting data.Data: Numerical facts or information.Stem-and-Leaf Plots: A convenient method to display every piece of data by showing the digits of each number.

In a stem-and-leaf plot, the greatest common place value of the data is used to form stems. The numbers in the next greatest place value position are then used to form the leaves.

Age of United states Presidents at their First Inauguration: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40th presidency)StemLeaf4569079177716688442841074521615415035622194

2 3 6 7 8 9 90 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 80 1 1 1 2 4 4 5 8 9StemLeaf456Rearrange the leaf in numerical order from least to greatestAge of United states Presidents at their First Inauguration: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40th presidency)

2 3 6 7 8 9 90 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 80 1 1 1 2 4 4 5 8 9StemLeaf: Age of United States Presidents at their First Inauguration (through the 40th Presidency) 456It is easy to interpret or analyze information from the Stem-and-Leaf.How many presidents were 51 years old at their inauguration?What age is the youngest president to be inaugurated?What is the age of the oldest president to be inaugurated?How many presidents were 40-49 years old at their inauguration? 442697

Data DisplaysA box-and-whisker plot shows how data is distributed by using the median, upper and lower quartiles, and the greatest and least values in the data set.

17, 18, 19, 21, 24,26, 27The lower quartile (LQ) is the median of the lower half of the data.The LQ is 18.The upper quartile (UQ) is the median of the upper half of the data.The UQ is 26.17181920212223242526282716_____

Make a Box & Whisker Plot76, 78, 82, 87, 88, 88, 89, 90, 91, 9588Find the median of this segment (LQ)LQ = 82Find the median of this segment.UQ = 90

76, 78, 82, 87, 88, 88, 89, 90, 91, 95Now for the box and whisker6570 75 80 859095Least ValueLower Quartile (LQ)Middle QuartileUpper QuartileGreatest Value100105

76, 78, 82, 87, 88, 88, 89, 90, 91, 956570 75 80 859095Least ValueLower Quartile (LQ)Middle QuartileUpper QuartileGreatest Value100105What number represents 25% of the data?What number represents 50% of the data?What number represents 75% of the data?LQ 82Median 88UQ 90

Venn DiagramsContent Standard:

Begin to identify information in a Venn diagramClick for the next screen.

The diagram shows the results of your survey on ice cream preferences for 23 friends.1381Click for an answer.How many of your friends liked chocolate and/or vanilla ice cream?How many students are not in the diagram? Why?

1381The End.How many students are not in the diagram? Why? 23-22 1One student is not in the diagram. He must not like chocolate or vanilla ice cream.

Stem and Leaf PlotStem and leaf plots are used as a quick way of seeing how many pieces of data fall in various ranges. The reader can quickly tell: - the range - the modeStem and leaf plots have a title, a stem, and leavesA key is used to explain how to read the stem and leaves.

Box - and - Whisker PlotDisplays large set of data.

Gives general idea of how data clusters.

Graph includes: - Title - Labeled intervals - Box between lower and upper quartiles - Whiskers from quartiles to extremes - Median, quartiles and whiskers labeled

Displaying & Analyzing DataStem-and-leaf PlotBox-and-Whisker PlotVenn Diagrams

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