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### 215 Cards in this Set

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 What is stats? the art and science of making sense of data NAME this is the art and science of making sense of data stats In stats we use (1) and (2)to extract info from data methods and procedures NAME in this we use differ methods and procedures to extract info from data stats In stats we use differ methods and procedures to extract (1) info from data What is the goal of stats? to make sense of data NAME the goal of this is to make sense of data stats T or F a list of data is a peice of info false is a list of data a peice of info? no What is the population? refers to all the observations under a specfic study NAME this refers to all the observations under a specfic study population CASE: a study on all traffic accidents in gainvsille what is the population? all traffic accidents in gainvislle What is a sample? refers to part of the population NAME this refers to part of the population sample in stats we make (1) about pop using sample info based on incomplte info descions or inflenece In stats, we make infelence decision about pop using (2) based (3) (2)sample info incomplete info What are (2) types of data? categorical data (2)numerical data NAME there are (2) types categorical and numerical data What is numerical data? inolves numbers Catergorical data can also be called (1) qualatitave data (1)can also be called qualiatitave data catergorical numerical data can also be called (1) quantative data (1)data can also be called quantative data numerical NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS gender catergorical NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS types of relgions catergorical NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS number grades numerical and continous bc you can get a grade of 89.9 percent NAME TYPE OF DATA letter grades catergorical NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS lists of people's incomes numerical and continous bc income can be listed as a decimil ex 33,000.34 per yr What are (2) types of numerical variables? (1)descrete (2)continous NAME this has (2) types of variables:descrete and continous numerical What are descrete variables? are countable values NAME these include countable values descrete variables What are countinous variables? include fractions and decimils and u can not count them NAME these include fractionsa and decimils and u can not count them countinous variables discrete variable are (1) random variables (1)variable are random variables discrete NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS # of children born in a hostpal numerical and descrete data NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS number of traffic accidents in a day numerical and descrete NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS number of bad checks written at walmart today numerical and descrete data NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS a list of people's incomes continous NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS a list of people's hieghts continous NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS a list of grades (ex A,B,C,D, and F) catergorical NAME TYPE OF DATA IF NUMERICAL NAME WHAT TYPE IT IS here is a list of people's grades. 70, 70, 88, 99, 100 numerical and continous How does stats use data? (3) by collecting data (2)analzying it (3)interpeting the data;s results (making descions) Make a pie chart using the following data A's= 60 B's= 70 Cs= 50 Ds=20 Fs= 10 A=30% B=35% C=20% D=10% F=5% What is the frequency? is the # of times a observation ocurs NAME is the # of times a observation occurs frequency If this was a bar chart fill in the blanks ! ! ! ! (a) !------------- (b) a= frequency (y axis) b= catergories or observations Click on the link and answer the following questions http://img.photobucket.com/albums/v675/rrmagure/Statschart1.jpg a)what is the % of rain? b)what precent of did the forcast predict it would rain? c)Compare the weather's predictiont to the atucall weather, how often did they forcast the correct predication? (d)is there any assocation btwn the actual weather and the ability of the forcasters to predict the weather correctly? (a)93% (b)24.7% (c)80.8% ((27 + 268)/365) (d)268/275= 97% use the following 10 2 8 10 7 25 4 15 8 6 5 5 12 19 10 10 20 10 8 15 17 5 5 8 5 6 FIND the interveal (2)frequency of each (3)relative frequency (4)cummulative frequency see notes Why would you use cummulative frequency? to show you information about the data What are some of the differ ways that catergorical data can be graphed? (5) (1)frequency table (2)distributio (3)bar chart (4)pie chart (5)contingency table What is marginal distribution? refesr to the distrubtion of either variable alone NAME this refers to the distrubtion of either varaible alone conditioned distribution What is conditional distrubtion? refers to the distrubtion of a variable restricting the Who only considering a smaller group of indivudals NAME this refers to the distrubtion of a varaible restricting the WHO only considering a smaller group of indivudals conditional distrubtions What is the purpose of distribution of variables? (2) (1)to show the possible values of the variable end (2)the relative frequency of each value NAME the purpose of this is to show the possible values of the variable end and the relative frequency of each value distribution of variables How do u find the relative frequency? divde the frequency by the total and multiple by a 100 NAME to find this you whould divide the frequency by the total and multiple by a 100 the relative frequency What is the purpose of a cummulative frequency? to show u how the data can saysomething such as 70% of student at Santa Fe travel btwn 9.6 and 13.5 miles to get to school How do u find the midpoint? (x1+x2/2, y1+y2/2) NAME is the foundation of stats the histogram the histogram is the (1)of stats the foundation What is frequenstastics? is the based on using a histogram NAME this is based on using a histogram frequenstastics NAME this means that there is more than two modes polymodel What is the simpson paradox? refers to averaging differ groups which my result in a contradiction NAME this refers to averaging differ groups which my result in contradictions simpson paradox Using the data, make a stem and leaf plot 3.72 3.75 3.79 3.81 3.82 3.61 3.62 Stem Leaf 3.6 1 2 3.7 2 5 9 3.8 1 2 What does increments does the stem and leaf plot have to be in? 1 not zero What are some things that the center or central tendency can be used to measure? (4) (1)mean (2)mode (3)median (4)med range What is the mean? the average of numbesr NAME this refers to the average mean What is the mode? refers to the most frequent occuring number NAME this refers to the most frequent occuing number mode What is the median? the middle number NAME this refers to the middle number median What is the mid range? the (highest + the lowest)/2 − What does X ? the mean What is the symbol for the mean? (2) − X or u What is the formula for finding - the X ? ∑ X/ n What does the symbol ∑ stand for? the sum of a observation What does n stand for? number NAME this represents the center of the data for a skewd graph mediain What represents the center of the data? the mean The mean represents the (1)of the data center The mean is highly affected by the (1) extreme values NAME this is highly affected by the exterme values mean WEIGHT OF TURKEYS IN FL 17, 18, 20, 21, 17, 25, 12, 17, and 22 1)what is the mode? 2)and what can you conclude based on the mode? (1)17 (2)that most turkeys in Fl wieght 17 pds 75, 80, 90, 65, 100, 95, 82 1)Find the median NOTE: put in order first 1)82 110, 100, 90, 150, 120, 200, 90, 95 1) what is the mediain? NOTE: put data in order first median= 110 + 120/2 = 115 lbs What function in the graphing calculator can u use to find the average, the lower and upper quartiles, the max, and the mean? 1-var stats What does Q1 represnt? the first 25 percent of the data NAME this represnets the first 25 percent of the data Q1 What does Q3 represent? 75% of the data NAME this represents 75% of the data Q3 What is the 5 number summury in order that you use for the box plot? (5) (1)min (2)Q1 (3)median (4)Q3 (5)max Draw a basic box plot Use labels see notes Using Graph 8, tell what the labels represnt on the box plot? (a)outliners (b)min (c)Q1 (d)median (e)Q3 (f)max What is frequency table? records the total of category names What kind of Graph is graph 9 and what type of data does it display? a frequency table (2)categorical What kind of graph is a graph 10, and what kind of data does it have? (1)a relative frequency table (2)categorical data What is a relative frequency table? records the total category names of data in percents NAME this records the total category names of data in precents relative frequency table What kind of graph is graph 11, and what kind of data does it have? (1)bar chart (2)categorical data What kind of data does the pie chart or graph 12, display? categorical data Using graph 14, (1)What kind of graph is it? (2)what kind of data does is display? (3) describe the distrubution (1)contingency table (2)catergorical data (3)marginal distribution Using graph 14, (1)what is the type of graph? (2)what kind of data is being displayed? (3)What is the distribution? (1)contingency table (2)categorical data (3)conditional distribution Using graph 15, (10 what is the type of graph? (2)what kind of data is being displayed? (1)segmented bar chart (2)categorical data Using graph 16, find the marginal distrubution? see whole chart Using graph 16, find the conditional distribution of blood ? seperate each varaible on its own Use graph 17, (1)what type of graph is it? (2)what kind of data is it displaying? (1)histogram (2)numerical Use graph 18, (1)what kind of graph is it? (2)what kind of data is being displayed? (1)stem and leaf plot (2)numerical What does the shape of the distribution refer to? (4) (1)the mode (2)the distrubtion (wheteher skewd, symetric, or uniform) (3)outliners (4)gaps NAME this refers to the mode, the distrubtion (whether skewed, symetric or uniform), outliners, and gaps shape Use graph 19, (1)what kind of graph is it? (2)what kind of data is being displayed? (1)time plot (2)numerical What kind of graphs can display numerical data? (4) (1)histogram (2)stem and leaf polt (3)dot plot (4)time plot What is the spread? refers to the disburtion of the numbers from start to end NAME this refers to the distrubtion of the numbers from start to end spread How do you find the IQR? is the Q3-Q1 What does IQR stand for? interquartile range For skewed data, it is better to report the (1)than the (2)of the data (1)median (2)mean NAME the center is represented by this if the data is symmetric average What is a census? is a sample of a whole entire population NAME this is a sample of a whole entire population census What is the greek letter for the − mean or y ? u What does the greek letter u stand for? mu What is the u? the greek letter for the mean Using the data in your calculator L1, sketech a histogram (1)what are the interverals? (2)what are the students frequency's? (3)What are the relative frequency? (4)What are the cummulative frequency? see section of notes for specfic answer Using the data in your calculator L1, sketech a histogram, (1)What is the spread of the data? (2)what is the shape of the data? (2)what type of data is it? NOTE u dont not need to give the outliners (1)2 to 25 (2)distrubtion-skewd to the right, mode=unimodal, gap=btwn 21.167 and 25 (2)numerical and discrete data How do u find the outliners? (2) (1)Q3+1.5IQR (2)Q1-1.5IQR Using graph 20, (1)what is a? (2)what is b? (a)y or frequency (2)catergories What are outliners? are observations which are differenet from the rest of the data NAME these are observations that are differ from the rest of the data outliners What does IQR stand for? interquartile range How do u find the IQR? Q3-Q1 What can u tell IQRis a large number? that the data is spread far out What can u tell if IQR is a smalll number? then the data is close together How do u find the outliners? (1)Q3+ 1.5(IQR) (2)Q1-1.5(IQR) If Q3=110 and Q1= 70 By hand tell if the outliners are 5, 10 ,and 150? IQR=40 outliners= 170 and 10 thus, 200 and 10 are the outliners while 150 is not Use the data in L1 of your calculator, (1)what are the outliners? they are 55, 60, 70 The average income of a family is 45,000 and the σ=5. By hand tell, what percent of have families have a income more than 45,000? 50% The average income of a family is 45,000 and the σ=5. By hand answer the question (1)What percent of families have a income btwn 40,000 and 50,000? u+/-σ = 45,000+/-5,000 =40,000 btwn 50,000=68% 68% the area is equal to the (1) in normal distrubtion percent the (1)is equal to the percent in the normal distrubtion area The average income of a family is 45,000 and the σ=5. By hand answer the question (1)What is the percent of families that have a income more than 50,000? 68%/2 = 34% 50%-34%=16% The average income of a family is 45,000 and the σ=5. Using you calculator, answer the following question (1) what are the percent of families that have a income btwn 37,00 and 49700? lower= 37000 upper=49700 mean or u= 45,000 σ= 5,000 answer= less than 1 percent The average income of a family is 45,000 and the σ=5. Using you calculator, answer the following question (1)what are the percent of families have a income greater then 45,000? lower= 45,000 upper= 100,000 mean or u=45,000 σ = 5,000 answer= 50% The average income of a family is 45,000 and the σ=5,000. Using you calculator, answer the following question (1)what are the percent of families have a income btwn 40,000 and 50,000? lower= 40,000 upper=50,000 u= 45,000 σ = 5,000 answer= 68% The average income of a family is 45,000 and the σ=5,000. Using you calculator, answer the following question (1)what are the percent of families have a income more than 50,000? lower= 50,000 upper=200,000 mean or u= 45,000 σ= 5,000 answer= 15% What is the mean of a standard normal? 0 The (1)of a standard nomral is 0 mean What is the mean of a standard normal? 0 What the s of a standard normal? 1 What is the s of a standard normal? 1 What does the z score represent? a random varaible NAME this represents a random varaible z score Using graph 29, (1)what is the area from -1 to 1? 68% Using graph 29, (1)what is the area from -2 to 2? 95% Using graph 29, (1)what is the area from -3 to 3? 99.7% Using graph 29, what is a observation that can be made? that the proptional area does not chane but the mean and s does change How do u find the z score? z= x-u/σ The average income of a family in gainsville is 45,000 and the σ is 5,000. (1)By hand find the z score of a person who has a income of 45,000 z= x-u/σ 45,000-45,000/5,000 = 0 The average income of a family in gainsville is 45,000 and the σ is 5,000. (1)By hand find the z score of a person who has a income of $55,000? z($55,000) z=(x-u)/σ 55,000-45,000/5,000= 2 The average income of a family in gainsville is 45,000 and the σ is 5,000. Answer the following question by hand (1)A person has a z score of 1, what was there income? z=x-u/σ 1=(x-45,000)/5000 income= 50,0000 The average income of a family in gainsville is 45,000 and the σ is 5,000. By hand answer the following questions (1)What is the z score for the people whose income fell btwn the range of 40,000 and 50,000? z(\$40,000) 40,000-45,000/5,000 z(50,000) 50-45,000/5,000 z score = -11 z= (x-u)/σ What is the x called? row score v going up is (1) negative v going (1)is negative up V going down is (1) postive v going (1)is negative up What is the differ btwn the postive and negative values of g and v? (2) (1)v going up is postive and v going down is - (2)while g going up is negative and v going down is postive What are the (2) frames of reference for a boat crossing a river? (1)shore (2)water What are (2) frames of reference for a airplane in a cross wind? (1)ground (2)air How can a reference frame move? either by translation or roatation the earth is a (1)and (2)frame roatating and transalating When does the earth rotate? every 24 hours Why can we feel the roating of a merry go round? bc a merry go round rotates faster than the earth What does vector r mean? PB it means vector r in postion relative to B What does vector r mean? PA it means vector r in postion relative to A vector r = (1) PB - vector r PB - vector r= (1) PB vector r PB vector r = (1) PA - vector r PA - vector r = (1) PA vector r PA Using graph M (notecard), how would u find vector r ? PA vector r = r + r PA PB BA Using graph M (notecard) How would u find the vector v? PA vector v = v + v PA PB BA Using graph M (notecard), How would u find the vector r? PB vector r = r + r PB PA AB Using graph M (note card), how would u find the vector v? PB vector v = v + v PB PA AB Using graph N (note card) (1)what do does 1 and 2 represent? (1)=θH (2)=θC What does θC stand for? the course angle What does θH stand for? the heading angle What is the course of the boat? is the line of the surface of the earth What is the heading of the boat? is where the boat is headed to on shore Using graph N, how would u find the vector v? BS vector v = v + v BS BW WS Using graph N, what are are the (1) and (2) represent? (1)= θH (2)=θC Draw sketches of the two types of model problems of boats that have right angles See Graph G (answer) Using graph P (notecard) how would u find vector v? PG vector v = v + v PG PA AG T or F a bar chart can be skewed to the left false Can a bar chart be skewed to the left or right? no bc it is catergorical T or F catergorical data can be skewed to the left or right false Can catergorical data be skewed to the left or right? no What type of data is can be skewed to left or right? numerical u= 50,000 σ =6,000 What is the mileage of the lower 3%? (1)first draw a pic of what u want (2)use InvNorm in calculator area=.03 u=50,000 σ =6,000 (3)the answer is 38715.238 When using the InvNorm funciton in the calculator, what/how do u put the data in the calculator? (3) in this order (1)area (2)u (3)σ u= 50,000 σ =6,000 What is the mileage of the lower 1%? (1)draw a pic of what u want to find (2)area=.01, u=50,000, u= 50,000, σ= 6,000 (3)the answer is u= 50,000 σ =6,000 What is the mileage of the top 3 %? (1)draw a pic of what u want to find (2)area= 97%, u=50,000 and σ=6,000 (3)the answer = 61284.76 u=80 σ=5 What is the the grade of the lower 16% of the class? (1)draw a pic of what u want to find (2)use InvNorm function (3)area=.16, u=80, and σ=5 (4)the answer is 75.02 For a normal table, supose u=80 and σ=5? P(7486) Find the percent of students with the above scores? (1)use the number 2 selection on ure calculator (2)lower=74 upper=86 u= 80 σ=5 (3)answer is 77% Suspose the area under a normal curve is .23, x=77, and σ=8? find u (1)draw a pic of what u whant to find (2)use inverse norm on a calculator to find z to find u area=0.23 u=0 σ=1 (u=0 and σ=1 bc a normal curve σ=1 and u is 0) (3)Next plus the z score into the formula to find the u of the normal curve (4)z=(x-u)/σ 77-u=0.7468 77+5.9=u u=82.9 What is the inverse norm used for? to find the range of data that is a certain area What is the normalcdf in the calculator used for? is used to find the percent of data for certain range of data NAME this calculator function is used for find the range of data for a certain area inverse norm function NAME This calculator function is used to find the percent of data for certain range of data normal cdf function NAME this calculator function is used to find the range of data that a certain percent falls into inverse norm function