AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

AP Statistics Final Review Flashcards

Terms : Hide Images
137016777255 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
13701677726z 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
13701677727standard 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
13701677728population(statistics) the entire aggregation of items from which samples can be drawn What the sample in an experiment or study usually reperesents3
13701677729categorical dataData that can be placed into categories . For example "gender" is a categorical data and the categories are "male" and "female". Labels or names used to identify categories of like items If you asked people in which month they were born or what their favorite class is, they would answer with names, which would be categorical data. However, if you asked them how many siblings they have, they would answer with numbers, not categories Labels or names used to identify categories of like items4
13701677730quantitative 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
13701677731bar 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
13701677732parameter(n) a determining or characteristic element; a factor that shapes the total outcome; a limit, boundary a characteristic or constant factor something that determines the limits of certain data values7
13701677733sampleA relatively small proportion of people who are chosen in a survey so as to be representative of the whole. a small part of a population that represents the whole A survey in star city representing the entire state of arkansas8
13701677734randomAssigning participants to experimental and control conditions by chance, thus minimizing preexisting differences between those assigned to the different groups. Assigning subjects to expenrimental groups based on chance. pulling names or numbers out of a hat9
13701677735biasAny systematic failure of a sampling method to represent its population Any way that tampers with the accuracy of the sample10
13701677736UndercoverageA sampling scheme that biases the sample in a way that gives a part of the population less representation than it has in the population. When some groups in the population are left out of the process of choosing the sample11
13701677737nonresponsebias introduced to a sample when a large fraction of those sampled fails to respond When many people of a sample do not respond12
13701677738voluntary response biasBias introduced to a sample when individuals can choose on their own whether to participate in the sample.13
13701677739statisticApplication of mathematics to describing and analyzing data14
13701677740independent(statistics) a variable whose values are unaffected by changes in the values of other variables15
13701677741historgramgraphical representation of a frequency distribution using vertical bars but bars touch each other to indicate variables are related16
13701677742box plotA display that shows the distribution of values in a data set separated into four equal-sized groups. A box plot is constructed from the five number summary of the data.17
13701677743scatterplotA 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 correlation (little scatter indicates high correlation).18
13701677744correlationA 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 +119
13701677745skewnessThe 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
13701677746variencecommons measure of spread about the mean as center21
13701677747statistical 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 low22
13701677748P-valueA measure of statistical significance. The lower, the more likely the results of an experiment did not occur simply chance.23
13701677749empirical 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 curve24
13701677750lurking 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
13701677751null hypothesisHypothesis that predicts NO relationship between variables. The aim of research is to reject this hypothesis26
13701677752alternate hypothesis, is the hypothesis to be considered as an alternative to the null hypothesis. The null hypothesis will be rejected in favor of the Ha only if the sample data strongly indicate that the null hypothesis is false.27
13701677754probabilityA number with a value from 0 to 1 that describes the likelihood that an event will occur. example, if a bag contains a red marble, a white marble and a blue marble then the probability of selecting a red marble is 1/3.28
13701677755descriptive statisticsMathematical procedures for organizing collections of data, such as determining the mean, the median, the range, the variance, and the correlation coefficient29
13701677756meanA 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
13701677757medianA measure of center in a set of numerical data. The median of a list of values 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
13701677758modeMeasure of central tendency that uses most frequently occurring score.32
13701677759rangeDistance between highest and lowest scores in a set of data.33
13701677760dataFacts and statistics collected together for reference or analysis34
13701677761Q1A 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
13701677762Q3A location to measeure when counting data to such as the median where instead of counting 50% it is 75% from the beginning of the sorted data36
13701677763minimum(n.) the smallest possible amount; (adj.) the lowest permissible or possible37
13701677764outlierA value much greater or much less than the others in a data set38
13701677765margin of errorIn statistical research, the range of outcomes we expect for a population, given the data revealed by a sample drawn from that population39
13701677766statistical normalscoring the middle of the bell-curve; low, moderate, or high scoring40
13701677767simple random sampleA sample selected in such a way that every element in the population or sampling frame has an equal probability of being chosen. Equivalently, all samples of size n have an equal chance of being selected. A sample of size n selected from the population in such a way that each possible sample of size n has an equal chance of being selected.41
13701677768sampling distributionDistribution of sample proportions from sample to sample. A sampling distribution of a sample statistic for a fixed sample size n is the distribution of that statistic derived from every possible sample of size n for a given population. A distribution of statistics obtained by selecting all the possible samples of a specific size from a population42
13701677769stratified 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 stratum43
13701677771cluster sampleIs obtained by selecting all individuals within a randomly selected collection or group of individuals.44
1370167777210% rulea sample has to be lass than 10% of the whole population45
13701677774QualitativeData in the form of recorded descriptions rather than numerical measurements.46
13701677776block 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)."47
13701677777blindingThe practice of concealing group assignment from study subjects, investigators, and/or those who assess subject outcomes, typically in the context of a randomized controlled trial. For ex, study subjects may receive capsules with identical appearance and taste; however, the treatment group receives the active drug, whereas the control group receives the placebo.48
13701677780least squares regression linethe line with the smallest sum of squared residuals49
13701677781type I errorAn error that occurs when a researcher concludes that the independent variable had an effect on the dependent variable, when no such relation exists; a "false positive50
13701677782type II errorAn error that occurs when a researcher concludes that the independent variable had no effect on the dependent variable, when in truth it did; a "false negative51
13701677783matched 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 variable52
13701677784conditional probabilityprobability given that something else has already occurred53
13701677785sample spaceSet of all possible outcomes of an experiment54
13701677786confounded variableA variable whose effect on the response variable cannot be separated from the effect of the explanatory variable on the response variable. (Note: Usually confounded variables are lurking variables but only a few lurking variables are also confounded.)55
13701677787marginal 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.56
13701677788coefficient of determinationThe statistic or number determined by squaring the correlation coefficient. Represents the amount of variance accounted for by that correlation. Statistic that represents amount of variance accounted for by a correlation.57
13701677789binomialA two-name naming system.58
13701677790unimodalhaving one mode; this is a useful term for describing the shape of a histogram when it's generally mound-shaped a data set with one mode such a normal distribution usually has only one mode59
13701677791bimodalA type of distribution, where there is two or more categories with an equal count or cases and with more cases than the other categories. A distribution with two modes60
13701677792experimentA kind of research in which the researcher controls all the conditions and directly manipulates the conditions, including the independent variable. Testing the hypothesis61
13701677793law of large numbers(statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statistics62
13701677794extrapolationcalculation of the value of a function outside the range of known values63
13701677796IQRA measure of variability, based on dividing a data set into quartiles Difference between upper and lower quartile of a boxplot64
13701677797Confidence intervalA range of values for a variable of interest; the specified probability is called the confidence level and the end points of the confidence interval are called the confidence limits A range of numbers in which most of the data values are likely to fall. we are 95% confident that etc.65
13701677798Standard ErrorA statistic providing an estimate of the possible magnitude to error. The larger the standard error of measurement, the less reliable the score. Standard deviation of sampling distribution66
13701677799Convenience sampleWhenever a sample is taken it gives an improper results because the sample was taken from a very convenient area instead of representing a population67
13701677800simulationA representation of a situation or problem with a similar but simpler model or a more easily manipulated model in order to determine experimental results.68
13701677801degrees 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.69
13701677802two way tableA table containing counts for two categorical variables. It has r rows and c columns. describes to categorical variables with row variable and column variable70
13701677803spreadThe visible variation in a sample distribution71
13701677804centerThe measure of the distance the mode is from the center of a distribution72
13701677838mutually exclusiveEvents that cannot occur at the same time.73
13701677840z teststatistical inference test to be used when the sample size is 30 or greater74
13701677841t testa statistical test used to evaluate the size and significance of the difference between two means75
13701677806chi squared goodness of fittests how well close the observes data is to what would be expected under the model. If a sign diff is found b/w the two then ob. data has not been generated by chance. nominal data Determine if scores from one variable match expectations for that distribution a gambler placed $1,000 into a game of greed in which he lost. He hopes to catch his opponent and bust him for loading the dice. He does this by choosing one dice to roll 36 times. He knows that the each side has an equal chance of landing face up. He hopes to get an outcome abnormal to this. Given the data below, can we prove that the dice are loaded76
13701677810stem and leaf displayA multiple column table depicting the individual digits of the scores. A score of 95 would have a stem of 9 and a leaf of 5, a score of 62 would have a stem of 6 and a leaf of 2. If a particular stem has more than one leaf, such as the scores 54, 58, and 51, the stem of 5 has three leaves, in this case 458. . It shows the range of values of the variable77
13701677812uniformA histogram doesn't appear to have any mode and in which all the bars are approximately the same height Evenly spaced78
13701677816r2overall measure of how successful the regression is in linearlly relating to y and x79
13701677818censusWhen a survey has no sample but instead test or surveys the entire population80
13701677820convenience sampleChoosing a sample because it is convenient. failing to get a proper representation of the population because If you survey everyone on your soccer team who attends tonight's practice, you are surveying a convenience sample.81
13701677821response biasAnything in a survey design that influences responses falls under the heading of response bias. One typical response bias arises from the wording of questions, which may suggest a favored response. Voters, for example, are more likely to express support of "the president" than support of the particular person holding that office at the moment. Anything that changes the response in a survey A police officer asking teenagers about drug use82
13701677822observational studyA study based on data in which no manipulation of factors has been employed. A study that observes characteristics of an existing population. usually a survey83

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!