The document provides information about analyzing and interpreting data through various graphs and calculations. It defines terms like mean, median, mode, and range. It explains how to calculate the mean, median, mode, and range of a data set. It also defines and compares different types of graphs like bar graphs, circle graphs, line graphs, line plot graphs, pictographs, and Venn diagrams. Finally, it provides some practice websites for interpreting data.

1. Data Analysis S. Hallum Jordye Bacon Elementary School 5 th Grade

2. Georgia 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.

3. Terms Mean : The sum of the numbers in a set of data divided by the number of pieces of data. 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.

4. Terms Mode : The number that occurs most frequently in a set of numbers. Range: The difference between the largest and smallest values in a numerical data set.

5. Finding the Mean Step 1: Add all numbers in your set of data. Step 2: Divide the sum by the number 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

6. Finding the Median Step 1: Put all numbers in order from least to greatest. 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

7. Finding the Mode Step 1: Put all numbers in order from least to greatest. Step 2: Find the most popular number. Example: Set of Data: 15, 15, 14, 16 Ordered: 14, 15, 15, 16 Mode: 15

8. Finding the Range Step 1: Put all numbers in order from least to greatest. Step 2: Subtract the lowest number from the highest number. Example: Set of Data: 15, 15, 14, 16 Ordered: 14, 15, 15, 16 Range: 16 – 14 = 2

9. Practice http://www.quia.com/rr/51667.html http://www.purplemath.com/modules/meanmode.htm http://www.mathgoodies.com/lessons/toc_vol8.html

10. Types of Graphs Bar Graph Circle Graph Line Graph Line Plot Graph Venn Diagram Pictograph

11. Bar 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

12. Circle 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

13. Line 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

14. Pictograph 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.

15. Line 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.

16. Venn Diagram Definition: Circles that show relationships among sets. Advantages: Shows comparisons and contrasts easily. Disadvantages Does not show trends

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