Data Analysis S. Hallum Jordye Bacon Elementary School 5 th  Grade
Georgia Standards <ul><li>M5D1. Students will analyze graphs. </li></ul><ul><li>a. Analyze data presented in a graph. </li...
Terms <ul><li>Mean :  The sum of the numbers in a set of data divided by the number of pieces of data. </li></ul><ul><li>M...
Terms <ul><li>Mode :  The number that occurs most frequently in a set of numbers. </li></ul><ul><li>Range:  The difference...
Finding the Mean <ul><li>Step 1:  Add all numbers in your set of data. </li></ul><ul><li>Step 2:  Divide the sum by the nu...
Finding the Median <ul><li>Step 1:  Put all numbers in order from least to greatest. </li></ul><ul><li>Step 2:  Find the m...
Finding the Mode <ul><li>Step 1:  Put all numbers in order from least to greatest. </li></ul><ul><li>Step 2:  Find the mos...
Finding the Range <ul><li>Step 1:  Put all numbers in order from least to greatest. </li></ul><ul><li>Step 2:  Subtract th...
Practice <ul><li>http://www.quia.com/rr/51667.html </li></ul><ul><li>http://www.purplemath.com/modules/meanmode.htm </li><...
Types of Graphs <ul><li>Bar Graph </li></ul><ul><li>Circle Graph </li></ul><ul><li>Line Graph </li></ul><ul><li>Line Plot ...
Bar Graph <ul><li>Definition:  a graph that shows data using horizontal or vertical bars. </li></ul><ul><li>Advantages:  <...
Circle Graph <ul><li>Definition:  A graph that shows data in the form of a circle. </li></ul><ul><li>Advantages:  </li></u...
Line Graph <ul><li>Definition:  A graph that shows data in the form of a line. </li></ul><ul><li>Advantages:  </li></ul><u...
Pictograph <ul><li>Definition:  A graph that displays data using symbols or pictures. </li></ul><ul><li>Advantages:  </li>...
Line Plot Graph <ul><li>Definition:  A graph that uses symbols above a number line to display data. </li></ul><ul><li>Adva...
Venn Diagram <ul><li>Definition:  Circles that show relationships among sets. </li></ul><ul><li>Advantages:  </li></ul><ul...
Interpreting Data Practice sites: http://www.bbc.co.uk/schools/ks2bitesize/maths/data/interpreting_data/play.shtml http://...
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  1. 1. Data Analysis S. Hallum Jordye Bacon Elementary School 5 th Grade
  2. 2. Georgia Standards <ul><li>M5D1. Students will analyze graphs. </li></ul><ul><li>a. Analyze data presented in a graph. </li></ul><ul><li>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. </li></ul><ul><li>c. Determine and justify the mean, range, mode, and median of a set of data. </li></ul>
  3. 3. Terms <ul><li>Mean : The sum of the numbers in a set of data divided by the number of pieces of data. </li></ul><ul><li>Median : The number in the middle of a set of data when the data are arranged in order from least to greatest. When there are 2 middle numbers, the median is the number that is halfway between the two middle numbers. </li></ul>
  4. 4. Terms <ul><li>Mode : The number that occurs most frequently in a set of numbers. </li></ul><ul><li>Range: The difference between the largest and smallest values in a numerical data set. </li></ul>
  5. 5. Finding the Mean <ul><li>Step 1: Add all numbers in your set of data. </li></ul><ul><li>Step 2: Divide the sum by the number of pieces of data. </li></ul>Example: Set of Data: 15, 15, 14, 16 Sum: 60 Total number of pieces of data: 4 Mean: 60 ÷ 4 = 15
  6. 6. Finding the Median <ul><li>Step 1: Put all numbers in order from least to greatest. </li></ul><ul><li>Step 2: Find the middle number. </li></ul>Example: Set of Data: 15, 15, 14, 16 Ordered: 14, 15, 15, 16 Middle Number: 15 and 15 Median: 15
  7. 7. Finding the Mode <ul><li>Step 1: Put all numbers in order from least to greatest. </li></ul><ul><li>Step 2: Find the most popular number. </li></ul>Example: Set of Data: 15, 15, 14, 16 Ordered: 14, 15, 15, 16 Mode: 15
  8. 8. Finding the Range <ul><li>Step 1: Put all numbers in order from least to greatest. </li></ul><ul><li>Step 2: Subtract the lowest number from the highest number. </li></ul>Example: Set of Data: 15, 15, 14, 16 Ordered: 14, 15, 15, 16 Range: 16 – 14 = 2
  9. 9. Practice <ul><li>http://www.quia.com/rr/51667.html </li></ul><ul><li>http://www.purplemath.com/modules/meanmode.htm </li></ul><ul><li>http://www.mathgoodies.com/lessons/toc_vol8.html </li></ul>
  10. 10. Types of Graphs <ul><li>Bar Graph </li></ul><ul><li>Circle Graph </li></ul><ul><li>Line Graph </li></ul><ul><li>Line Plot Graph </li></ul><ul><li>Venn Diagram </li></ul><ul><li>Pictograph </li></ul>
  11. 11. Bar Graph <ul><li>Definition: a graph that shows data using horizontal or vertical bars. </li></ul><ul><li>Advantages: </li></ul><ul><li>Easy to read </li></ul><ul><li>Compares multiple sets of data </li></ul><ul><li>Disadvantages </li></ul><ul><li>Not best for showing trends </li></ul>
  12. 12. Circle Graph <ul><li>Definition: A graph that shows data in the form of a circle. </li></ul><ul><li>Advantages: </li></ul><ul><li>Shows percentages </li></ul><ul><li>Shows how a total is divided into parts </li></ul><ul><li>Disadvantages </li></ul><ul><li>Not best for showing trends </li></ul>
  13. 13. Line Graph <ul><li>Definition: A graph that shows data in the form of a line. </li></ul><ul><li>Advantages: </li></ul><ul><li>Shows change over time </li></ul><ul><li>Helps you see trends </li></ul><ul><li>Disadvantages </li></ul><ul><li>Not easy to use to compare different categories of data </li></ul>
  14. 14. Pictograph <ul><li>Definition: A graph that displays data using symbols or pictures. </li></ul><ul><li>Advantages: </li></ul><ul><li>Compares multiple sets of data </li></ul><ul><li>Visually appealing </li></ul><ul><li>Disadvantages </li></ul><ul><li>Hard to read when there are parts of pictures. </li></ul>
  15. 15. Line Plot Graph <ul><li>Definition: A graph that uses symbols above a number line to display data. </li></ul><ul><li>Advantages: </li></ul><ul><li>An easy way to organize data </li></ul><ul><li>Disadvantages </li></ul><ul><li>Only good for one group of data and cannot be used to compare different categories of data or show trends. </li></ul>
  16. 16. Venn Diagram <ul><li>Definition: Circles that show relationships among sets. </li></ul><ul><li>Advantages: </li></ul><ul><li>Shows comparisons and contrasts easily. </li></ul><ul><li>Disadvantages </li></ul><ul><li>Does not show trends </li></ul>
  17. 17. Interpreting 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
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