data analysis powerpoint
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Data Data AnalysisAnalysis
S. HallumS. Hallum
Jordye Bacon Elementary Jordye Bacon Elementary SchoolSchool
55thth Grade Grade
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Georgia StandardsGeorgia Standards
M5D1. Students will analyze graphs.a. Analyze data presented in a graph.b. Compare and contrast multiple graphic
representations (circle graphs, line graphs, line plot graphs, pictographs, Venn diagrams, and bar graphs) for a single set of data and discuss the advantages/disadvantages of each.
c. Determine and justify the mean, range, mode, and median of a set of data.
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TermsTerms
• MeanMean: The sum of the numbers in a : The sum of the numbers in a set of data divided by the number of set of data divided by the number of pieces of data.pieces of data.
• MedianMedian: The number in the middle : The number in the middle of a set of data when the data are of a set of data when the data are arranged in order from least to arranged in order from least to greatest. When there are 2 middle greatest. When there are 2 middle numbers, the median is the number numbers, the median is the number that is halfway between the two that is halfway between the two middle numbers.middle numbers.
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TermsTerms
• ModeMode: The number that occurs most : The number that occurs most frequently in a set of numbers.frequently in a set of numbers.
• Range: Range: The difference between the The difference between the largest and smallest values in a largest and smallest values in a numerical data set.numerical data set.
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Finding the MeanFinding the Mean
• Step 1: Add all numbers in your set of Step 1: Add all numbers in your set of data.data.
• Step 2: Divide the sum by the number Step 2: Divide the sum by the number of pieces of data.of pieces of data.
Example:Set of Data: 15, 15, 14, 16
Sum: 60
Total number of pieces of data: 4
Mean: 60 ÷ 4 = 15
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Finding the MedianFinding the Median
• Step 1: Put all numbers in order Step 1: Put all numbers in order from least to greatest.from least to greatest.
• Step 2: Find the middle number.Step 2: Find the middle number.
Example:Set of Data: 15, 15, 14, 16
Ordered: 14, 15, 15, 16
Middle Number: 15 and 15
Median: 15
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Finding the ModeFinding the Mode
• Step 1: Put all numbers in order from Step 1: Put all numbers in order from least to greatest.least to greatest.
• Step 2: Find the most popular number.Step 2: Find the most popular number.
Example:Set of Data: 15, 15, 14, 16
Ordered: 14, 15, 15, 16
Mode: 15
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Finding the RangeFinding the Range
• Step 1: Put all numbers in order Step 1: Put all numbers in order from least to greatest.from least to greatest.
• Step 2: Subtract the lowest number Step 2: Subtract the lowest number from the highest number.from the highest number.
Example:Set of Data: 15, 15, 14, 16
Ordered: 14, 15, 15, 16
Range: 16 – 14 = 2
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Practice
http://www.quia.com/rr/51667.htmlhttp://www.purplemath.com/modules/meanmode.htmhttp://www.mathgoodies.com/lessons/
toc_vol8.html
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Types of GraphsTypes of Graphs
Bar GraphBar Graph
Circle GraphCircle Graph
Line GraphLine Graph
Line Plot GraphLine Plot Graph
Venn DiagramVenn Diagram
PictographPictograph
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Bar GraphBar Graph
Definition: a graph that shows data using horizontal or vertical bars.
Advantages:
•Easy to read
•Compares multiple sets of data
Disadvantages
•Not best for showing trends
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Circle GraphCircle Graph
Definition: A graph that shows data in the form of a circle.
Advantages:
•Shows percentages
•Shows how a total is divided into parts
Disadvantages
•Not best for showing trends
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Line GraphLine Graph
Definition: A graph that shows data in the form of a line.
Advantages:
•Shows change over time
•Helps you see trends
Disadvantages
•Not easy to use to compare different categories of data
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PictographPictograph
Definition: A graph that displays data using symbols or pictures.
Advantages:
•Compares multiple sets of data
•Visually appealing
Disadvantages
•Hard to read when there are parts of pictures.
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Line Plot GraphLine Plot Graph
Definition: A graph that uses symbols above a number line to display data.
Advantages:
•An easy way to organize data
Disadvantages
•Only good for one group of data and cannot be used to compare different categories of data or show trends.
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Venn DiagramVenn Diagram
Definition: Circles that show relationships among sets.
Advantages:
•Shows comparisons and contrasts easily.
Disadvantages
•Does not show trends
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Interpreting DataInterpreting Data
Practice sites:
http://www.bbc.co.uk/schools/ks2bitesize/maths/data/interpreting_data/play.shtml
http://www.mercer.kyschools.us/mysites/jbest/?page_id=64
http://www.internet4classrooms.com/grade_level_help/skills_fifth_5th_math_data_analysis_and_probability.htm