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AP Statistics Flashcards

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97557127715 number summaryThe minumum value, lower quartile, median, upper quartile, and maximum value for a data set. These five values give a summary of the shape of the distribution and are used to make box plots.0
9755712772z scorea measure of how many standard deviations you are away from the norm (average or mean)1
9755712773standard deviationA statistical measure of how far away each value is, on average, from the mean.2
9755712774populationthe entire aggregation of items from which samples can be drawn3
9755712775categorical dataData that can be placed into categories.4
9755712776quantitative datanumerical data5
9755712777bar grapha type of graph in which the lengths of bars are used to represent and compare data in categories6
9755712778parametersomething that determines the limits of certain data values7
9755712779sampleA relatively small proportion of people who are chosen in a survey so as to be representative of the whole.8
9755712780randomAssigning participants to experimental and control conditions by chance, thus minimizing preexisting differences between those assigned to the different groups.9
9755712781biasAny systematic failure of a sampling method to represent its population10
9755712782UndercoverageWhen some groups in the population are left out of the process of choosing the sample11
9755712783nonresponsebias introduced to a sample when a large fraction of those sampled fails to respond12
9755712784voluntary response biasBias introduced to a sample when individuals can choose on their own whether to participate in the sample.13
9755712785statisticApplication of mathematics to describing and analyzing data14
9755712786independentVariable that does not rely on other variables15
9755712787histogramgraphical representation of a frequency distribution using vertical bars but bars touch each other to indicate variables are related16
9755712788box and whisker plotA display that shows the distribution of values in a data set seperated into four equal-sized groups. constructed from the five number summary of the data.17
9755712789scatterplot18
9755712790correlationA measure of the extent to which two factors vary together, and thus of how well either factor predicts the other.19
9755712791skewnessThe extent to which cases are clustered more at one or the other end of the distribution of a quantitative variable rather than in a symmetric pattern around its center20
9755712792variancestandard deviation squared21
9755712793statistical significanceA statistical statement of how likely it is that an obtained result occurred by chance. When p is less than alpha it is _______22
9755712794P-valueA measure of statistical significance. How likely an event is to happen by chance23
975571279568-95-99.7 ruleThe rule that gives the approximate % of observations w/in 1 standard deviation, 2 standard deviations and 3 standard deviations of the mean24
9755712796lurking variableA variable that has an important effect on the relationship among the variables in a study but is not one of the explanatory variables studied25
9755712797null hypothesisHypothesis that predicts NO relationship between variables. The aim of research is to reject this hypothesis26
9755712798alternative hypothesisthe hypothesis concluded to be true if the null hypothesis is rejected27
9755712799quota sampleA sample deliberately constructed to reflect several of the major characteristics of a given population28
9755712800probabilityA number with a value from 0 to 1 that describes the likelihood that an event will occur.29
9755712801descriptive statisticsMathematical procedures for organizing collections of data, such as determining the mean, the median, the range, the variance, and the correlation coefficient30
9755712802meanA measure of center in a set of numerical data, computed by adding the values in a list and then dividing by the number of values in the list.31
9755712803medianA measure of center in a set of numerical data. The value appearing at the center of a sorted version of the list32
9755712804modeMeasure of central tendency that finds the data value that occurs most often33
9755712805rangeDistance between highest and lowest values in a set of data.34
9755712806dataFacts and statistics collected together for reference or analysis35
9755712807Q1A location measure of the data such that has one fourth or 25% of the data is smaller than it. Found by dividing the ordered data set in half (excluding the middle observation if n is odd) and finding the median of the lower half of the data36
9755712808Q3A location to measure when counting data to such as the median where instead of counting 50% it is 75% from the beginning of the sorted data37
9755712809minimumThe smallest value in a data set38
9755712810outlierA value much greater or much less than the others in a data set. Found by doing IQR*1.539
9755712811margin of errorIn statistical research, the range of outcomes we expect for a population, given the data revealed by a sample drawn from that population40
9755712812statistical normalscoring the middle of the bell-curve; low, moderate, or high scoring41
9755712813simple random sampleA sample selected in such a way that every element in the population or sampling frame has an equal probability of being selected42
9755712814sampling distributionA distribution of statistics obtained by selecting all the possible samples of a specific size from a population43
9755712815stratified random sampleA method of sampling that involves dividing your population into homogeneous subgroups and taking a simple random sample in each subgroup. a sampling design in which the population is divided into several groups, and random samples are then drawn from each stratum44
9755712816systematic sampleA sample drawn by selecting individuals systematically from a sampling frame45
9755712817cluster sampleIs obtained by selecting all individuals within a randomly selected collection or group of individuals.46
975571281810% rulea sample has to be lass than 10% of the whole population47
9755712819InterpolationThe estimation of an unknown number between known numbers48
9755712820QualitativeAnother word for categorical49
9755712821theoretical probabilityWhat should occur or what we expect to happen in an experiment50
9755712877experimental probabilityProbability based on data from repeating an event (doing an experiment)51
9755712822block designThe subjects in an experiment are first divided into groups (called 'blocks') based on some common characteristic (such as gender) that is hypothesised to have an effect on the response. Randomization of treatments then happens within each block (each block is like its own mini-experiment).52
9755712823blindingThe practice of concealing group assignment from study subjects, typically in the context of a randomized controlled trial.53
9755712824double blindAn experiment in which neither the subjects nor the people who work with them know which treatment the subject is receiving54
9755712825placeboA fake treatment55
9755712826least squares regression linethe line with the smallest sum of squared residuals56
9755712827type I errorReject null when null is true57
9755712828type II errorNot rejecting null when null is false58
9755712878joint frequencyeach entry in a two-way table59
9755712829matched pairsan observational technique that involves matching each participant in the experimental group with a specific participant in the control group in order to eliminate the possibility that a third variable (and not the independent variable) caused changes in the dependent variable60
9755712830conditional probabilityprobability given that something else has already occurred61
9755712831sample spaceSet of all possible outcomes of an experiment62
9755712832confounded variableA variable whose effect on the response variable cannot be separated from the effect of the explanatory variable on the response variable63
9755712833marginal frequencyA set of intervals, usually adjacent and of equal width, into which the range of a statistical distribution is divided, each associated with a frequency indicating the number of measurements in that interval.64
9755712834coefficient of determinationThe statistic or number determined by squaring the correlation coefficient.65
9755712836unimodalhaving one mode66
9755712837bimodalA type of distribution with two modes67
9755712838experimentA kind of research in which the researcher controls all the conditions and directly manipulates the conditions, including the independent variable.68
9755712839law of large numberslaw stating that a large number of items taken at random from a population will (on average) have the population statistics69
9755712840extrapolationcalculation of the value of a function outside the range of known values70
9755712841snowballHuyen wanted to conduct market research to find out why students were unhappy with Marketing 431, probably the finest course ever to be offered by a university. In order to do this she needed to find people who were unhappy with the course. Figuring that these people would talk to each other, she used a sampling technique where she found one person who was unhappy with the course and, after asking her research questions, asked this person for the name of another person who was unhappy with the course.71
9755712842IQRDifference between upper and lower quartile of a box and whisker plot72
9755712843Confidence intervalGives an interval of plausible values for a parameter, point estimate +- margin of error73
9755712844Standard Errorthe standard deviation of a sampling distribution74
9755712879ResidualObserved - predicted (y minus y-hat)75
9755712845Convenience sampleSample consisting of individuals that are easy to contact (the first 50 people to step into the building) leading to bias76
9755712846simulationA representation of a situation or problem with a similar but simpler model or a more easily manipulated model in order to determine experimental results.77
9755712847degrees of freedomThe number of individual scores that can vary without changing the sample mean. Statistically written as 'N-1' where N represents the number of subjects.78
9755712848two way tabledescribes two categorical variables with row variable and column variables79
9755712849spreadThe visible variation in a sample distribution80
9755712850centerMedian or mean81
9755712880shapedescribes the data distribution; symmetrical, skewed, gaps, clusters and outliers are often used82
9755712881discrete random variablea random variable that can take one of a finite number of distinct outcomes83
9755712882central limit theoremlarge samples will approximate the normal distribution84
9755712883standardized valuez-score85
9755712884mutually exclusiveEvents that cannot occur at the same time.86
9755712851wording biasWhenever a bias is created in a sample by the way the survey is worded to favor one question87
9755712885causationA cause and effect relationship in which one variable controls the changes in another variable.88
9755712886z testhypothesis testing procedure in which there is a single sample and the population variance is known89
9755712887t testsignificance test used to compare means90
9755712852chi squared goodness of fit91
9755712853frequency tableA chart showing the number of times a specific event happens.92
9755712888simpsons paradoxwhen averages are taken across different groups, they can appear to contradict the overall averages.93
9755712855contingency tableA two-variable table with cross-tabulated data.94
9755712856stem and leaf plot95
9755712857multimodalDescribes a graph of quantitative data with more than two clear peaks.96
9755712858uniformA histogram doesn't appear to have any mode and in which all the bars are approximately the same height97
9755712859symmetricWhen in a normal distribution both sides are identical98
9755712860time plotplots each observation against the time at which it was measured99
9755712861sestandard deviation of residuals100
9755712862r2overall measure of how successful the regression is in linearly relating to y and x101
9755712863influential pointa point when omitted that will give very different results102
9755712864censusWhen a survey has no sample but instead tests or surveys the entire population103
9755712890multistage samplesampling schemes that combine several sampling methods104
9755712865pilotsmall trial run of a survey to see if questions are clear105
9755712867response biasanything in a survey design that influences responses106
9755712868observational studyA study that observes characteristics of an existing population.107
9755712869retrospective studydata are collected from the past by going back in time108
9755712870prospective studyan observational study in which subjects are followed to observe future outcomes109
9755712872control groupIn an experiment, the group that is not exposed to the treatment; contrasts with the experimental group and serves as a comparison for evaluating the effect of the treatment.110
9755712875trialA performed experiment based upon the hypothesis you made.111
9755712876maximumThe greatest value in a data set112
9820508318binomial distributionthe sampling distribution of events that have two equally likely outcomes113
9820508319Geometric DistributionTwo possible outcomes but its cumulative (how many are necessary to get success)114
9820637488explanatory variableindependent variable (x)115
9820637489response variabledependent variable (y)116

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