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AP Statistics1.3 Homework WorksheetStandard deviation, 5 # summary, variance, resistance, box plotsPlease show all work on a separate piece of paperJoey’s first 14 quiz grades in a quarter period of school were:8684917578807487769682909893Calculate the mean. Show your work. Interpret your results in context.For Joey’s quiz scores from problem #1Find the median by hand. Interpret the results in context.Find the IQR, write your answer in context of the problemDetermine whether there are any outliers. Show your workCreate a boxplot of your dataSuppose Joey has an unexcused absence for the 15th quiz, and he receives a score of zero. Recalculate the mean and the median. What property of measures of center does this illustrate? Write a sentence about the effect of the zero on Joey's quiz average that mentions this property.What kind of plot would best show Joey's distribution of grades? Assume an eight-point grading scale (A: 90 to 100; B: 80 to 89; etc.). Make an appropriate plot, and justify your choice.The population of the United States is aging, though less rapidly than in other developed countries. Here is a stem plot of the percent of residents aged 65 and over in the 50 states, according to the 2000 census. The stems are whole percent and the leaves are tenths of a percent. There are two outliers: Alaska has the lowest percent of older residents, and Florida has the highest. What are the percent’s for these two states?Ignoring Alaska and Florida, describe the shape, center, and spread of this distribution.center1206500 A survey of a large high school class asked the following questions: Are you female or male? (In the data, male = 0, female = 1.)Are you right-handed or left-handed? (In the data, right = 0, left = 1.)What is your height in inches?How many minutes do you study on a typical weeknight?Below are the histograms of the student responses, in scrambled order and without scale markings. Which histogram goes with each variable? Explain your reasoning.center1206500In a September 28, 2008 article titled “Letting Our Fingers Do the Talking,” the New York Times reported that Americans now send more text messages than they make hone calls. According to a study by Nielsen Mobile, “Teenagers age 13 to 17 are by far the most prolific texters, sending or receiving more than 1,742 messages a month.” Mr. Williams, a high school statistics teacher, was skeptical about the claims in the article. So he collected data from his first-period statistics class on the number of text messages and calls they had sent or received in the past 24 hours. Here are the texting data:07129258512598902681187209252143344542Make a boxplot of these data by hand. Be sure to check for outliersDo these data support the claim in the article about the number of texts sent by teens? Justify your answer with appropriate evidence.A boxplot of the difference (texts-calls) in the number of texts and calls for each student is shown below: 0444500Do these data support the claim in the article about texting versus calling? Justify your answer with appropriate evidence. Should you put your money into a fund that buys stocks or a fund that invests in real estate? The boxplots compare the daily returns (in percent) on a “total stock market” fund and a real estate fund over a year ending in November 2007. 0-444500Read the graph: about what were the highest and lowest daily returns on the stock fund?Read the graph: the median return was about the same on both investments. About what was the median return? What is the most important difference between the two distributions? Which of the distributions shown has a larger standard deviation. Put them in order of largest standard deviation to smallest, and, justify your reasoning by comparing the graphs.Let’s get some practice with standard deviation and our TI Calculators!Directions: For each data set that we collect in class calculate the Mean, Standard Deviation, 5 number summary, and then make the data display for each specified question on a separate piece of paper. What is the average commute time for WHS AP Stats Juniors and Seniors to get to class?Make a Stem Plot of this data_____, _____, ______, _____, _____, _____, ______, ______, ______, ______, ______, ______, _____, _____, ______, _____, _____, _____, ______, ______, ______, ______, ______, ____________, _____, _____, _____, ______, ______, ______, ______, ______, ______How many hours in a week do AP Stats Juniors and Seniors spend on the internet (cell phones, computer, Ipod/Ipad, or video games)Make a box plot of this data_____, _____, ______, _____, _____, _____, ______, ______, ______, ______, ______, ______, _____, _____, ______, _____, _____, _____, ______, ______, ______, ______, ______, ______,______, _____, _____, _____, ______, ______, ______, ______, ______, ______.Amount of _____________ (a day/ week/ month/ year ) do AP Stats Juniors and Seniors ____________________ ____________________ _______________ _________________ ______Make a box plot of this data_____, _____, ______, _____, _____, _____, ______, ______, ______, ______, ______, ______, _____, _____, ______, _____, _____, _____, ______, ______, ______, ______, ______, ______,______, _____, _____, _____, ______, ______, ______, ______, ______, ______.Constructing a box plot with class height dataChange your height into inches. Example: 5’11 5 feet x12 inches =60 inches +11inches =71 inches tall. Once everyone has recorded their heights on the board, write them down in the table below.NameHeightNameHeightNameHeightNameHeightUsing the class height data set, put the data in order from least to greatest.Find the mean, median, mode, 5 number summary, outliers, range.Mean __________Range ____________Median ___________ Mode____________ Outliers________________Min____________ Q1 ________ Q2 (median)__________ Q3___________ Max_________Use the information from #4 to create your box plot114300-571500 6. What does the shape of the box plot tell you about our data set?Comparing CarsNote: You will need to work on a separate piece of paper to show your work!With all of the talk lately about fuel efficient cars, it’s important to see car companies live up to their hype. Here are the top five fuel efficient cars. Each car was test driven 5 times on full tanks of gas to see how many miles per gallon they got. The results are as followsHyundai ElantraHonda CivicMazda 3Ford FocusToyota CorollaPredicted - 33Predicted - 30Predicted - 28Predicted - 32Predicted - 3031.228.828.333.231.229.931.727.931.729.336.230.928.534.130.834.527.627.632.428.930.729.529.032.031.4 Calculate the mean for each car.Calculate the variance for each car.Calculate the standard deviation for each car.MeanVarianceStnd. Dev.Hyundai ElantraHonda CivicMazda 3Ford FocusToyota CorollaNow that you have the variance and deviation of each car, answer the following questions Which car company was the most consistent with miles per gallon? How did you know?__________________________________________________________________________________________________________________________________________________ Would you use the mean or the standard deviation if you were trying to determine if the car companies were close to their predicted miles per gallon? Explain your reasoningStandard Deviation and Variance PracticeNote: You will need a separate piece of paper for work, staple work to the back of the page. Make sure to include appropriate symbols and units!!Read each situation for the given data and answer the following questions.What symbol is used that represents Variance? _________What symbol is used that represents Standard Deviation? _________How many standard deviations away from the mean does 99.7% of data fall? ____________Draw an appropriate bell curve that represents 1, 2, and 3 standard deviations, [don’t forget the mean] and include the percent of the sample/population that is captured within each standard deviation._____________________________________________10 students scored the following marks on a physics test.23, 37, 45, 49, 56, 63, 63, 70, 72 and 82Calculate the variance and standard deviation BY HAND, show your work!Variance : ______________Standard Deviation :__________________Here are the height of dogs600mm, 470mm, 170mm, 430mm, and 300mmCalculate the variance and standard deviation BY HAND, show your work!Variance : ______________Standard Deviation :__________________ ................
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