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GRAPHICAL DISPLAYS OF QUANTITATIVE DATA Ch. 4 Day 1 AP Statistics EQ: How do we display quantitative data? Requirements for ALL Graphs Title for the graph Title for each axis Clearly label or number axis Appropriate scale for the data set Legend for the graph (when needed) Histograms Provide an easy to understand summary of the Quantitative distribution of a ____________________ variable Use bins which are equal width piles Count the number of values that fall into each bin Histogram Examples Histogram Quick Practice Make a Histogram for the number of wins for each Major League Baseball team in 1997: 98 78 65 84 96 68 101 79 79 67 92 76 88 76 86 80 90 84 77 88 78 68 73 68 90 83 Histogram Quick Practice Interval 65-70 Frequency 5 1 7 4 3 3 2 1 Stem and Leaf Plots Shows individual data points Use for ______________ Quantitative variables Why split stems? What is a back to back stem and leaf plot? Stem and Leaf Plot Examples Dotplot Places a dot along an axis for each case in the data Shows all data values Use for ________________ variables Quantitative What does a dot actually represent? Dotplot Examples Describing Distributions Center (midrange/mean/median) Unusual Features (gaps/clusters/outliers) Shape (uniform, symmetric, skewed, uni-bi-multi-modal) Spread (range, iqr, quartiles, standard deviation) Describing Distributions For Tonight’s HW: Focus on Shape Unimodal Bimodal Multimodal Describing Distributions For Tonight’s HW: Focus on Shape Symmetric Skewed Right Skewed Left Describing Distributions For Tonight’s HW: Focus on Shape Uniform PULSE RATE ACTIVITY 1. 2. 3. 4. 5. Count your number of pulse beats in one minute. (only do 10 seconds and multiply by 6 or do 15 seconds and multiply by 4) Repeat this three times, recording each trial. Find your average individual pulse rate. Record your average pulse rate in the class chart. Find the average pulse rate for the males and females. Pulse Rate Data Histogram Put the pulse rate data into a list STAT then #1 EDIT Put all the pulse rates into L1 1-Variable Stats (find the mean 𝑥) To get to 1-variable statsStat-> Calc -> #1 and select L1 Pulse Rate Data Histogram Graph a histogram STAT PLOT then enter for Plot 1 Turn Plot 1 on, choose the histogram graph, and L1 for your data Hit graph (check y= before you graph!!!) Can’t see your graph? Push Zoom #9 Now let’s reset the bins to sensible values Pulse Rate Data Histogram Make a dotplot for the class pulse rate data. Make a stem and leaf plot for the pulse rate data. Male Female Make a back to back stem and leaf plot for the pulse rate data. 5 6 7 8 Compare the two stem plots. What do they show? How are they alike? How are they different? Homework (Ch.4 Day1) (due Thurs) p.72 #5, 6, 7, 10, 31, 37, 41