Effective Data Visualization Techniques for Statistical Analysis
Explore the essentials of data visualization and statistical analysis through graphical displays, numerical summaries, and histogram examples. Learn about measures of center, spread, position, and distribution to interpret data effectively.
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Agenda Homework (reg) Pg.55 #1.7 Warm Up Update w/ test scores REMIND Show Chapter 1 Lecture Graphical Displays Update graphs Project #1 Common mistakes from quiz Update Hand back quizzes, project time Examples of test corrections Exit Pass 10 min Pg.57 #1.11(a) Pg.68 #1.23(a) 5 min 25 min 10 min 10 min 5 min 5 min
n Mean Median Sign up for our Remind: Text to 81010, message: @602reg2020 Warm Up 19 82.89% 85% Comment on the distribution of your scores on last Friday s mini-quiz.
Chapter 1 Summary Graphical displays of a distribution of values Dotplot, stemplot, histogram, boxplot, cumulative frequency plot Numerical summaries of a distribution of values Measures of center Median, mean Measures of spread Range, interquartile range, standard deviation Measures of position Quartiles, percentiles From a graphical or numerical summary, comment on the . Shape Symmetric vs. skewed, bimodal, uniform, clusters, gaps, approximately normal Center Median, mean Spread
1 of 3 Notes 25 27 29 30 32 35 36 36 36 36 37 37 37 Histogram Similar to bar graph, but quantitative, and bars (usually) touch Good for larger data sets Break values into classes Break up range (max-min), use judgment on # Display count ( frequency ) in each class 38 38 38 38 39 40 40 41 42 45 48 52 Example, Geogebra
1 of 3 Notes 29 32 32 34 34 34 35 35 35 35 36 36 36 36 37 P.3 Histogram Similar to bar graph, but quantitative, and bars (usually) touch Good for larger data sets Break values into classes Break up range (max-min), use judgment on # Display count ( frequency ) in each class 38 38 38 38 39 39 40 42 43 45 46 47 48 48 49 Example, Geogebra
You try 110 135 138 140 140 145 153 154 158 160 165 170 Create a histogram of this class guesses for my weight. 170 170 170 170 180 180 180 180 181 185 187 187
11 x 7 7 x 11
P.3 9 x 10 15 x 6
2 of 3 Notes Pie chart Categorical Warnings: Must include all categories And (next slide) Abortion = legal? NO, 10 YES, 18
3 of 3 Notes 25 27 29 30 32 35 36 36 36 36 37 37 37 Stemplot ( stem-and-leaf ) Quantitative only. 1. Separate into stems (usually all but last digit) and a leaf (usually last digit) 2. Stems in vertical column, consecutive. 3. Vertical line. Each leaf matches, consecutive. 38 38 38 38 39 40 40 41 42 45 48 52 Show how to do Geogrebra
Fall 2019 125 125 130 132 132 135 136 140 145 152 152 Spring 2019 99 120 130 130 132 140 144 150 150 150 152 You try Guesses of my weight, this semester vs. last Spring. 155 160 160 160 160 160 160 160 167 170 175 180 156 158 163 165 166 170 170 170 175 175 190 195 Make a back-to-back stemplot of both.
50.00% 45.00% 40.00% 35.00% 30.00% 25.00% 20.00% 15.00% 10.00% 5.00% 0.00% One Two Three Four Five Six Seven Eight Nine Ten
Test explanations (optional) Thoroughly explain why the right answer is the right answer and Thoroughly explain why your wrong answer is wrong 1. 2. GOOD: means you have to multiply the 5 into everything in the parentheses, so the x and the 7 get multiplied by 5. I just multiplied 5 into the first part of the parentheses to get my wrong answer, 5x-7. BAD: 5(x - 7) becomes 5x 35 5(x 7) becomes 5x 35 because the Distributive Property +1 point each MC, +1 point per sub-part for FRQ. Goes into Tests/Quizzes category as extra credit. Due before next test (this Friday 1/17). Separate paper, neatly written, stapled in front of test. Must be done in classroom, any time (~7:45 am to ~4:30pm)
Project #1 (reg): Exploring Quantitative Data 24 points in Projects grade Due Tuesday 1/21 Collect and use any quantitative data Sample projects by door Read the handout, especially the rubrics.
How long is a minute? You and your partner will need 1 watch/timer. Sit as far as possible from classmates. Door Tell Window to start counting 1 minute Window When you think it s been a minute, say Stop quietly. Door Write down time in seconds Do NOT tell partner how much time passed. Do NOT erase the data until I ve collected it. Two trials, then switch roles.
Homework (reg) Pg.55 #1.7 Pg.57 #1.11(a) Pg.68 #1.23(a) Exit Pass 1 7 5 11 10 6 14 8 2 10 0 5 9 1 8 25 2 1 1. Without discussing with anyone else how much do you expect to make for your annual salary in your 1st year of full-time employment? These are self-reported from my students last Spring, on the number of hours they spent studying in a typical week. Display the data as a: 2. Stem-and-leaf plot 3. Histogram
