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# Math 112b Chapter 7 Section 1 Math 112b Sec 004

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This 5 page Class Notes was uploaded by amber weiss on Tuesday January 19, 2016. The Class Notes belongs to Math 112b Sec 004 at Southern Illinois University Edwardsville taught by cheryl eames in Spring 2016. Since its upload, it has received 41 views. For similar materials see elementary mathmatics in Mathmatics at Southern Illinois University Edwardsville.

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Date Created: 01/19/16

Math 112B Dr. Eames Chapter 7 Section 1 Pictograph: is typically the type of graph that students are first introduced to. It usespictures to display data. - Here is an example… Like the example we did in class with the ice cream flavors… - Chstolate= 6 Vanilla= 9 Strawberry= 3 - 1 step… Draw 3 cones - 2 ndstep… pile on 6,9,3 scoops or circles onto the cones Bar Graphs and Pie charts - Use when data can fit into categories - ROLL A DIE 10 TIMES Outcome Talley Frequency 1 2 2 2 2 2 3 1 1 4 1 1 5 3 3 6 1 1 TOTAL: 10 Features of a Well-Drawn Bar Graph: 1. Title 2. Axis labels 3. Vertical= frequency Horizontal= Outcome 4. Scale Rolls of Die 3.5 3 3 2.5 2 2 2 FREQUENCY 1.5 1 1 1 1 0.5 0 1 2 3 4 5 6 OUTCOMES USE DATA FROM BAR GRAPH TO CREATE A PIE GRAPH OUTCOME FREQUENCY ANGLE 1 2 72 DEGREES 2 2 72 DEGREES 3 1 36 D 4 1 36 D 5 3 108 D 6 1 36 D TO FIGURE OUT THE ANGLE… Example) if a die is rolled 25 times, and a specific roll appeared 5 out of the 25 rolls, that is 20% Method 1: 5/25 = .2 = 20% Method 2: 5/25 x/360, we cross multiple… the 360 represents the degrees of a circle. And the x is what we are trying to figure out. The 5 represents how many times that number was rolled out of 25 times… Rolls of Die 1 2 3 2 1 1 1 2 3 4 5 6 Line Plot: - Test scores: 70, 82, 90, 89, 82, 102, 65, 70 - What are some drawbacks of using a line plot?? 1. Not precise, have to estimate 2. Too much data, too many marks 3. Count height of mark 8 6 7 9 10 0 0 0 Stem and leaf plot - Data: 70, 82, 90, 82, 102, 65, 70 - Should re-arrange into less than to greater than - How to read the data… 6]5, 7]0, etc… 6 5 7 0, 8 2,2,9 9 0 10 2 BACK TO BACK STEAM AND LEAF PLOT: - Use when there are 2 categories - Data: Girls: 59, 65, 76, 78, 85, 85, 93, 96, 101 Boys: 58, 61, 68, 71, 73, 79, 81, 85, 91 9 5 8 5 6 1,8 6,8 7 1,3,9 1,5 5,5 8 3,6 1 9 10 1 Girls Boys LINE GRAPH - We use these when there is a change over time/period - Bivariate data is when there are 2 variables - Univariate data is when there is 1 variable FEATURES OF A WELL DRAWN BAR GRAPH 1. Title: dependant vs. independent variable - Time ALMOST ALWAYS independent variable 2. Give axis labels - Dependant is the vertical - Independent is the horizontal 3. Scale constant and appropriate 4. When there is a break in the graph… represent it with 2 dash marks or a squiggle line through the break… Year Population 1950 3000 1960 3500 1970 4500 1980 6000 1990 7000 2000 10000 TOWN POPULATION 12000 10000 10000 8000 7000 6000 POPULATION 6000 4500 403000 3500 2000 0 1950 1960 1970 1980 1990 2000 YEARS Series 3 THE BREAK IN THE GRAPH WOULD GO WHERE THE 0 AND 1950 INTERSECT… The reason being is that on the population axis… 0-2000 is 2000 spaces and on the Years axis… it is only 1950 spaces… the zigzag or 2 dashes would be placed right in-between the 0 and 1950. What is correlation? - It is positive or negative - Positive shows and increase trend; as 1 goes up , so does the other …Example) in business, cost of revenue both increase as business grows …Example) Study time increases, so grade on test increases - Negative correlation shows a decreasing trend; as 1 goes up, the other goes down …Example) Exercise time/effort increases, and body weight decreases - A strong correlation has values close to -1 and +1 - A weak correlation has values close to 0 - Positive correlation (0 is less than r and greater than 1) - Negative correlation (-1 is less than r and less than 0)

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