Make & describe a stemplot for the following weights in pounds 229 246 320 214 197 347 202 247 198 360 218 406 223 628 347 260 414 276 261 196 Create a Histogram for the # credit card returns: 36 57 75 73 32 49 63 35 35 35 47 39 28 42 41 24 Using the calculator Put data in L1 Go to 2nd y= Turn on, turn on histogram (make sure xlist is L1 or whatever list your data is in) Hit zoom9 Go to window. Set xmin to smallest value and scl = class width. Press graph. (Trace will show all values) More on Histograms Car Speed (mpg) Frequency Relative Cumulative freq 18 to < 25 25 to < 32 32 to < 39 39 to < 46 46 to < 53 10 14 4 2 2 .313 .438 .125 .063 .063 freq .313 .75 .88 .94 1.00 1. What percent get less that 39 mph? 2. What percent at least 39 mph? 3. What is the mph for the top 12% of cars? Weight Freq. Rel. Freq Cum R. F 180-200 4 0.07 0.07 200-220 8 .13 .2 220-240 15 .25 .45 240-260 20 .33 .78 260-280 7 .12 .9 280-300 6 .1 1 1. What percent weigh less than 240? 2. What percent weigh at least 229? 3. What is the cut off for the bottom 45%? Weight Freq. Rel. Freq Cum R. F 180-200 4 .07 .07 200-220 8 .13 .2 220-240 15 .25 .45 240-260 20 .33 .78 260-280 7 .12 .9 280-300 6 .1 1 1. What percent weigh 260 or more? 2. What percent weigh 235 or more? 3. What is the cutoff for the heaviest 10%? Weight Freq. Rel. Freq Cum R. F 180-200 4 .07 0.07 200-220 8 .13 .2 220-240 15 .25 .45 240-260 20 .33 .78 260-280 7 .12 .9 280-300 6 .1 1 1. What percent weigh between 220 and 240? 2. What percent weigh between 240 and 250? Time(mth) Freq. Rel. Freq Cum R. F 0-6 2 .022 .022 6-12 10 .112 .135 12-18 21 .236 .371 18-24 28 .315 .685 24-30 22 .247 .933 30-36 6 .067 1 1. What percent did not malfunction in the 1st 2 years? 2. What percent required replacement within 1.5 and 2.5 years? 3. At what time had 50% failed? 4. What percent lasted at least 30 months? More on Histograms Density Histograms Density = relative frequency of the class class width This ensures that the area of the rectangle is proportional to the corresponding frequency. Class Freq 0 - 0.1 4 0.1 - 0.2 8 0.2 - 0.4 10 0.4 - 2.0 12 Rel. Freq. Density Class Freq 0 - 10 6 10 - 20 12 20 - 40 20 40 - 60 18 60 - 100 14 Rel. Freq. Density Class Freq 0 -100 24 100 - 300 28 300 - 600 30 600 - 1000 26 Rel. Freq. Density Graph the following: Class 20-40 40-60 60-100 100-200 200 – 800 Freq. 35 27 20 10 28 Bivariate Ojive – cumulative frequency graph 1. Find the cumulative frequencies 2. Plot beginning of class on the horizontal axis and the cumulative frequencies on the vertical axis. Ages Freq. 13 – 19 5 19 – 25 8 25 – 31 11 31 – 37 20 37 – 43 6 Time Series – Line plot that plots each observation against the time of the observation. Year Life expectancy Year Life expectancy 1900 48.3 1960 73.1 1910 51.8 1970 74.7 1920 54.6 1980 77.5 1930 61.6 1990 78.8 1940 65.2 2000 79.5 1950 71.1 Scatter plots Graphs an ordered pair. Put the data in L1 and L2 Press 2nd Stat Plot to turn the graph on Press ZOOM 9 to graph Create a scatterplot & find the line of best fit. Wt Cl (kg) Total Lifted (kg) 46 140 50 127 54 165 59 167 64 192 70 185 76 198 83 200 Let’s try another one! Use it to predict the sodium for 40 g of fat. Fat (g) Sodium 19 920 31 1500 34 1310 35 860 39 1180 39 940 43 1260 Homework Worksheet Bring colored candy for lab tomorrow!