Data Data AnalysisAnalysis

S. HallumS. Hallum

Jordye Bacon Elementary Jordye Bacon Elementary SchoolSchool

55thth Grade Grade

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.

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.

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.

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

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

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

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

Practice

http://www.quia.com/rr/51667.htmlhttp://www.purplemath.com/modules/meanmode.htmhttp://www.mathgoodies.com/lessons/

toc_vol8.html

Types of GraphsTypes of Graphs

Bar GraphBar Graph

Circle GraphCircle Graph

Line GraphLine Graph

Line Plot GraphLine Plot Graph

Venn DiagramVenn Diagram

PictographPictograph

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

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

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

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.

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.

Venn DiagramVenn Diagram

Definition: Circles that show relationships among sets.

Advantages:

•Shows comparisons and contrasts easily.

Disadvantages

•Does not show trends

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