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AP Statistics Flashcards

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58289576355 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. The five numbers that help describe the center, spread and shape of data0
5828957636z scorea measure of how many standard deviations you are away from the norm (average or mean) -Number of standard deviations a score is above or below the mean (positive above, negative below1
5828957637standard deviationA statistical measure of how far away each value is, on average, from the mean. A measure of spread. Specifically, the typical distance the data points are from the mean.2
5828957638population(statistics) the entire aggregation of items from which samples can be drawn What the sample in an experiment or study usually reperesents3
5828957639categorical dataData that can be placed into categories . For example "gender" is a categorical data and the categories are "male" and "female".4
5828957640quantitative dataData associated with mathematical models and statistical techniques used to analyze spatial location and association. numerical information describing how much, how little, how big, how tall, how fast, etc. age is quantitative5
5828957641bar grapha type of graph in which the lengths of bars are used to represent and compare data in categories A graph that uses horizontal or vertical bars to represent data.6
5828957642parametera number that describes some characteristics of the population, represented by p ex. mean, standard deviation7
5828957643sampleA relatively small proportion of people who are chosen in a survey so as to be representative of the whole.8
5828957644random assignmentAssignment of participants to experimental and control conditions by chance, thus minimizing preexisting differences between those assigned to the different groups.9
5828957645bias (experimental design)Any systematic failure of a sampling method to represent its population10
5829010677bias (sampling distributions)sample values do not center on the population (inaccurate)11
5828957646UndercoverageA sampling scheme that biases the sample in a way that gives a part of the population less representation than it has in the population.12
5828957647nonresponsebias introduced to a sample when a large fraction of those sampled fails to respond13
5828957648voluntary response biasBias introduced to a sample when individuals can choose on their own whether to participate in the sample.14
5828957649statisticsApplication of mathematics to describing and analyzing data15
5828957650independent variablea variable whose values are not dependent on changes in the values of other variables (x variable)16
5828957651historgramgraphical representation of a frequency distribution using vertical bars; bars touch each other to indicate variables are related17
5828957652box plota graphic representation of the Five Number Summary in which a rectangle is used to represent the middle 50% of a set of data and "whiskers" at both ends of the rectangle to represent the remainder of the data.18
5828957653scatterplotA graphed cluster of dots, each of which represents the values of two variables. The slope of the points suggests the direction of the relationship between the two variables. The amount of scatter suggests the strength of the correlation19
5828957654correlationA measure of the extent to which two factors vary together, and thus of how well either factor predicts the other. The correlation coefficient is the mathematical expression of the relationship, ranging from -1 to +120
5828957655skewnessThe 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 center21
5828957656varienceSquare root of the standard deviation22
5828957657statistical significanceA statistical statement of how likely it is that an obtained result occurred by chance/The condition that exists when the probability that the observed findings are due to chance is very low23
5828957658P-valueA measure of statistical significance. The lower, the more likely the results of an experiment did not occur simply chance.24
5828957659empirical ruleThe rules gives the approximate % of observations w/in 1 standard deviation (68%), 2 standard deviations (95%) and 3 standard deviations (99.7%) of the mean when the histogram is well approx. by a normal curve25
5828957660lurking variableA variable that has an important effect on the relationship among the variables in a study but is not one of the explanatory variables studied26
5828957661null hypothesisHypothesis that predicts NO relationship between variables. The aim of research is to reject this hypothesis27
5828957663quota sampleA sample deliberately constructed to reflect several of the major characteristics of a given population28
5828957664probabilityA number with a value from 0 to 1 that describes the likelihood that an event will occur.29
5828957666meanA 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.30
5828957667medianA measure of center in a set of numerical data. In a list of values, it is the value appearing at the center of a sorted version of the list - or the mean of the two central values if the list contains an even number of values.31
5828957668modeMeasure of central tendency that uses most frequently occurring score.32
5828957669rangeDifference between highest and lowest scores in a set of data.33
5828957670dataFacts and statistics collected together for reference or analysis34
5828957671Q1A 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 data.35
5828957672Q3For a set of data, a number for which 75% of the data is less than that number. It is the same as the median of the part of the data which is greater than the median.36
5828957673minimumthe smallest value in a data set37
5828957674outlierA value much greater or much less than the others in a data set38
5828957677simple random sampleA sample selected in such a way that every element in the population or sampling frame has an equal probability of being chosen.39
5828957678sampling distributionA distribution of statistics obtained by selecting all the possible samples of a specific size from a population40
5828957679stratified random sampleA method of sampling that involves dividing your population into homogeneous subgroups and taking a simple random sample in each subgroup.41
5828957680systematic sampleA sample drawn by selecting individuals systematically from a sampling frame42
5828957681cluster sampleIs obtained by selecting all individuals within a randomly selected collection or group of individuals.43
582895768210% rulea sample must be less than 10% of the whole population44
5828957683InterpolationThe estimation of an unknown number between known numbers.45
5828957684QualitativeData in the form of recorded descriptions rather than numerical measurements.46
5828957687block designThe subjects in an experiment are first divided into groups based on some common characteristic (such as gender) that may have an effect on the response. Randomization of treatments then happens within each group. (each group is it's own experimental group)47
5828957689double blindAn experiment in which neither the subjects nor the people who work with them know which treatment each subject is receiving48
5828957690placeboA fake treatment.49
5828957691least squares regression linethe line with the smallest sum of squared residuals50
5828957695matched 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 variable51
5828957696conditional prababilityprobability given that something else has already occurred52
5828957697sample spaceSet of all possible outcomes of an experiment53
5828957698confounding variableA variable whose effect on the response variable cannot be separated from the effect of the explanatory variable on the response variable.54
5828957699marginal frequencytotals in a row or column in a set of data55
5828957700coefficient of determinationThe statistic or number determined by squaring the correlation coefficient. Represents the amount of variance accounted for by that correlation.56
5828957701binomiala statistical experiment that has the following properties: The experiment consists of n repeated trials. Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure. The probability of success, denoted by p, is the same on every trial.57
5828957704experimentA kind of research in which the researcher controls all the conditions and directly manipulates the conditions, including the independent variable. Testing the hypothesis58
5828957705law of large numberslaw stating that a large number of items taken at random from a population will (on average) have the population statistics59
5828957706extrapolationcalculation of the value of a function outside the range of known values (inadvisable)60
5828957708IQRDifference between Q3 and Q1, measure variability61
5828957711Residualthe difference between the observed value of the dependent variable (y) and the predicted value (ŷ)62
5828957712Convenience samplesample taken from a very convenient area instead of representing a population63
5828957713simulationA representation of a situation or problem with a similar but simpler model or a more easily manipulated model in order to determine experimental results.64
5828957715two way tableA table containing counts for two categorical variables65
5828957716spreadThe visible variation in a sample distribution; standard deviation or range66
5828957717centermean, median, or mode67
5828957718shapethe pattern or appearance of a graphed distribution68
5828957719discrete random variablea variable which can only take a countable number of value and the sum of whose probability is 169
5828957722mutually exclusiveoutcomes that cannot occur at the same time70
5828957723wording biasWhenever a bias is created in a sample by the way the survey is worded to favor one question71
5828957724causationA cause and effect relationship in which one variable controls the changes in another variable.72
5828957728frequency tableA grouping of qualitative data into mutually exclusive classes showing the number of observations in each class.73
5828957729area principlethe area occupied by a part of the graph should correspond to the magnitude of the value it represents74
5828957732stem and leaf displayA multiple column table depicting the individual digits of the scores.75
5828957733multimodalDescribes a graph of quantitative data with more than two clear peaks76
5828957734uniformA histogram which doesn't appear to have any mode and in which all the bars are approximately the same height77
5828957735symetricWhen in a normal distribution both sides are identical78
5828957737s (of) estandard deviation of residuals79
5828957738coefficient of determiniationthe proportion of variability in a data set that is accounted for by a statistical model (r2)80
5828957741censusa test or survey of the entire population81
5828957745response biasAnything in a survey design that influences responses82
5828957746observational studyA study based on data in which no manipulation of factors has been employed.83
5828957747retrospective studyWhat study examines whether a past association exists between an exposure of interest and development of a present condition84
5828957748prospective studyan observational study in which subjects are followed to observe future outcomes85
5828957750control 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.86
5828957753trialA performed experiment based upon the hypothesis you made87
5828957754maximumthe largest value in a data set88

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