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AP Statistics Summer Assignment Flashcards

Terms : Hide Images
6962356641Categorical VariablePlaces an individual into one of several groups or categories. (ex. blood type, eye color, gender )0
6962356642Quantitative VariableTakes numerical values for which it makes sense to find an average. (ex. age, temperature)1
6962356643Discrete VariableA variable that CANNOT take on any value between its minimum and maximum value.2
6962356644ContinuousVariables that CAN take on any value between its minimum and maximum value.3
6962356645Univariate DataData, from a study, that depicts a singe variable. (ex. weight of fruit)4
6962356646Bivariate DataData, from a study, that depicts two variables. ( ex. price and size, height and weight)5
6962356647PopulationThe total set of observations that can be made. (ex. height of ALL ten year olds)6
6962356648SampleA set of observations drawn from a population (ex. height of a SELECT group of ten year olds)7
6962356649MedianA simple measure of central tendency / midpoint of a distribution. ( Arrange n observations from least to greatest. If n is odd, median is the middle value. If n is even, median is the average of the two middle values.)8
6962356650MeanAverage - Sum of individuals divided by the number of individuals. Formula: x = ( Σ xi ) / n9
6962356651OutlierA data point that diverges greatly from the overall pattern.10
6962356652ParameterA measurable characteristic of a population. (ex. mean, standard deviation)11
6962356653StatisticsDiscipline allowing researchers to evaluate conclusions derived from sample data. A scientific approach used to collect, interpret and analyze data, assess reliability of conclusions based on sample data.12
6962356654RangeMeasure of variation in a set of random variables; the difference between the largest and smallest variable. Formula: Max Value - Min Value13
6962356655Standard Score ( z-score)Indication of how many standard deviations an element is from the mean. The value of the element ( X ) minus the population mean ( μ ) divided by the standard deviation ( σ ). Formula: Z = (X - μ) / σ14
6962356656CenterLocated at the median distribution, a way to describe patterns.15
6962356657SpreadVariability of the data, in relation to range; Wide Range, larger spread ; Cluster around single variable, smaller spread.16
6962356658VarianceNumerical value used to indicate how widely individuals in a group vary. Formula: of population: σ^2 = Σ ( Xi - μ )^2 / N of simple random sample: s^2 = Σ ( xi - x )^2 / ( n - 1 )17
6962356659SymmetryAttribute used to describe shape of data distribution.18
6962356660UnimodelDistributions with one clear peak19
6962356661BimodelA distribution with two distinct peaks20
6962356662SkewnessThe distribution of data in a graphic representation having more observations on one side than the other.21
6962356663Uniform(probability) Values that random variables can take are equally probable. Values graphically portrayed are equally spread across the range of the data set.22
6962356664GapsAreas in the data where there are no observations.23
6962356665Dot PlotsDiagrams that represent the frequency of data24
6962356666Bar ChartA graphical display used with categorical data, where frequencies for each category are shown in vertical or horizontal bars. The column/row is positioned over the categorical data. The height/length indicates size of group defined by the categorical variable.25
6962356667HistogramsA graph that displays the distribution of a quantitative variable. The horizontal axis is marked in units of measure, the vertical axis contains scale of counts or percents. It displays class and class frequency.26
6962356668Difference between Bar Charts and HistogramsBar Charts are defined by categorical variable while Histograms are defined by a quantitative variable.27
6962356669StemplotsUsed to display quantitative data, generally from small sets. (<50)28
6962356670BoxplotsUsed to display patterns of one quantitative variable. The data is sectioned into quartiles. A box is drawn around the range of the middle two quartiles and whiskers are drawn to represent the range of the upper and lower quartiles.29
6962356671QuartilesDivides rank ordered data set into four equal parts, Q1, Q2 and Q3. *Differs from precentiles. Q1 - P25, Q2 - P50, Q3 - P75. *Q2 = Median.30
6962356672Interquartile Range (IQR)Measure of variability, based on dividing a set into quartiles. The range of the two inner quartiles. Formula: IQR = Q3 - Q131
6962356673Four Ways to Describe Data SetsSkewness, Spread, Uni/Bimodel, Symmetry32
6962356674Types of Graphs for Comparing DataDot Plots, Box Plots, Bar Charts, Histograms33

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