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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.
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.
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