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# Unit 8 Notes STAT 113

Purdue 1
Purdue
GPA 3.6
STAT 113
Ellen Gundlach

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Notes from Unit 8: Graphs [with examples]
COURSE
STAT 113
PROF.
Ellen Gundlach
TYPE
Class Notes
PAGES
5
WORDS
KARMA
25 ?

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This 5 page Class Notes was uploaded by Purdue 1 on Thursday February 26, 2015. The Class Notes belongs to STAT 113 at Purdue University taught by Ellen Gundlach in Winter2015. Since its upload, it has received 46 views.

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Date Created: 02/26/15
Unit 8 Graphs Part 1 Categorical Variable Graphs Variables and Distributions Variables characteristics of individuals height yield length age eye color etc Distribution of a variable tells us what values it takes and how often it takes these values Variables Any characteristic of an individual can take different values for different individuals Quantitative variable takes numerical values for which arithmetic operations such as adding and averaging make sense Categorical variable places an individual into one of several groups or categories words not numbers Color major hometown etc Pie Charts Categorical Variable All percent s must add up to 100 or all counts for the categories must add up to total number of individuals measured Cannot be used for choose all that apply questions Bar Graphs Categorical Variable XAxis has categories yaxis has counts for each category More exible than the pie chart Ok to use for choose all that apply questions Need spaces between the bars each bar has its own label Can rearrange the bars in any order and the graph has the same meaning Cannot describe a bar graph as skewed or symmetric because we can rearrange the bars in any order Can have either horizontal or vertical bars Categorical Variable Graphs Example In a poll of 300 elementary students respondents were asked to name their favorite type of milkshake The results are below Favorite Milkshake Flavor of Students of Students Vanilla 129 43 Chocolate 81 27 Strawberry 33 I I Other 57 19 Bar Graph Favorite Milkshake Flavor Vanilla Chocolate Strawberry Other O 20 4O 6O 80 100 120 140 Pie Chart Favorite Milkshake Flavor lVanilla lChocolate lStrawberry lOther Part 2 Single Quantitative Variables Graphs for single quantitative variables Histograms Stemplots Boxplots Histograms Show the distribution of a quantitative variable Looks similar to a bar graph but the Xaxis has a continuous numerical scale No spaces between the bars The bars on the histogram are of equal Width and the height tells you how many individuals fall Within that range Shape Mode of peaks unimodal 1 bimodal 2 multimodal gt2 Skewness Where the long tail is O Symmetric Rightskewed Leftskewed Symmetric Rig ht ekewee Left skewed ling mg tail em wright heme tail en left PenmanI Itquot Ellie s Emir Iiiamen Hh v Hinga4quot l HimElie l1 39 i u d F r i r e39 gaff ef za 39 nquot h n quot I T HI Iquot Ill 1 PI quot395 1quot JIM luff Ag quotE 2quot 45 quot If 5 Hr Median 2 Mean Median 11 Mean Median 1 Mean Creating a stemplot by hand Put the data in order from smallest to largest The stem is usually all but the final rightmost digit of a data point The stems are the leftmost column in your stemplot Draw a vertical straight line to separate the stems from the leaves The leaf Will be the final digit like tens or ones or tenths of each data point Write the leaves to the right of the line in order Consider creating a split stemplot if the original stemplot has the data too bunched up together T a I Unimwdial and fairly 4 5 5 3 3 quot symmetric ll 2 l l ESTSQ T8 Line Graphs Time Series Plots Time on the Xaxis horizontal quantitative variable on the yaxis vertical Measures changes over time Look for overall bigpicture trends and seasonal variation sales always peak in August and December for example in short term that gets repeated Average Temperatures 100 90 80 7O 6O 50 4O 30 20 10 0 April May June July St Louis Dallas Remember When deciding if your data is categorical or quantitative think about the question asked to each individual not how the data is summarized Categorical variable pie chart bar graph Quantitative variable histogram stemplot boxplot time plot line graph if measured against time

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