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AP Statistics Flashcards

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4880611178categorical dataData are categorical if they are in the form of names or labels, rather than numbers.0
4880613375continuous dataMeasured data that can be whole numbers, fractions, or decimals of any length. Continuous data are always numeric.1
4880613376dataThe plural form of the word datum. A collection of pieces of information.2
4880613377data collectionGathering information for selected population members through telephone surveys, written questionnaires, or other methods.3
4880613378data organization and analysisStatistical techniques that allow us to describe characteristics of a data set. Examples include calculating statistics (such as a mean) and making graphs and charts that show the shape of a data distribution.4
4880615217descriptive statisticsThe process of describing the characteristics of a group (a sample) for which we have data5
4880615218discrete dataCounted or tallied data, which can only be whole numbers or names. Discrete data can be numeric or categorical.6
4880616463inferential statisticsThe process of comparing, testing assertions, or predicting something about a population, given what we know about a sample from that population.7
4880617107probability- based inferenceStatistical techniques that allow us to draw objective conclusions based on probability theories about populations from which we have sampled.8
4880699798History of Statistics3 subjects come together to create this Field of Mathmatics -staatenkunde: collecting information from different countries. -political arithmetic: creating tables of dates and births -calculus of probability: mathematical theorms and techniques to solve problems of uncertainty.9
4880748184The Phases of a Statictical Study1.) Data Gathering 2.) Data Organization and Analysis 3.) Probability - based Inference10
4880764874ExponentialIncreasing at an increasing rate11
4880769151Exploratory Data AnalysisWhen a study proceeds without trying to answer any particular question12
4880775137ProbabilityMathematical rules about chance that tell us how likely or unlikely something is13
4880799935Measured vs. Counted DataMeasured: gathered by measuring (continuous data; height, weight, length) counted: gathered by counting (anything that can be counted; people, animals, buildings)14
4880866786Bar GraphA bar graph displays the values associated with each level of the independent variable15
4880870728ClassA range into which numerical data can be grouped16
4880870729Class BoundariesThe maximum and minimum values within each class in a histogram or frequency table.17
4880872020Class IntervalThe distance between two successive class minimums in a histogram or frequency table18
4880873134Class LimitsThe upper and lower boundaries of a class.19
4880873135Class WidthThe distance between the maximum and minimum values of a given class in a histogram or frequency table.20
4880874396Cumulative FrequencyThe sum of a series of frequencies in a data set, in which the frequency from one class is added to the sum of the frequencies of all the classes below it.21
4880874397Cumulative Frequency GraphA line graph that shows cumulative frequencies on the vertical axis and data values (divided into classes) on the horizontal axis.22
4880876365Cumulative Relative Frequency GraphA line graph that shows cumulative relative frequencies on the vertical axis and data values (divided into classes) on the horizontal axis.23
4880876366DIstributionThe pattern of variation in a numeric or categorical variable.24
4880876374Dot PlotA dot plot displays the number of observations with a particular value; each observation is shown as a dot.25
4880877494FrequencyThe number of observations within a range of data.26
4880877495Frequency Plotplot (or graph) that shows frequencies.27
4880878451Frequency TableA table that shows the number of observations in each of the classes, categories, or levels of a variable.28
4880878452GapA class with a frequency of zero, or no obersvations.29
4880878453HistogramA frequency plot that shows the number of observations within each class.30
4880880498Level ( of a catergorical variable)The value, or label, taken on by a categorical variable31
4880880499Line GraphA line graph is similar to a histogram and a bar chart, except that the values are shown as points and a line connects the points32
4880881608Midpoint (in a histogram)The middle number of each class. The mean of the class maximum and minimum. On a histogram, the midpoints lie at the center of the bottom of each bar.33
4880881609Numerical DataData that appear as numbers that can be manipulated mathematically.34
4880883432Numerical VariableA variable containing numerical data.35
4880883433ObservationA single person, thing, or unit in a data set.36
4880884867Pie Chartthey show the amounts or the number of observations in each level of a given categorical variable37
4880886408Relative FrequencyThe number of observations within a given class or category, divided by the total number of observations.38
4880887676Relative Frequency HistogramA histogram in which each bar shows relative frequency. A relative frequency histogram will show the same pattern (the bars will look the same) as a frequency histogram for the same data; only the vertical axis will be different. In a relative frequency histogram, the size of the bars is expressed in decimal values or percentages that represent the proportion of observations for a given class, category, or level of a variable.39
4880888399Stem-and-Leaf PlotA plot that allows you to display the shape of a distribution of a numerical variable while including the actual values in the graph40
4880888400ValueA number or label taken on by a variable.41
4880891543VariableA varying characteristic being studied.42
5018158812Box-and-whisker plotA plot showing the center and spread of a data set on a number line. A box is drawn around the middle 50% of the data (ranging from the lower quartile to the upper quartile), and a vertical line is drawn at the median. In a regular (unmodified) box-and-whisker plot, whiskers (horizontal lines) extend from the box to the minimum and maximum numbers.43
5018169103Five-Number summaryA summary of a variable from a data set, given as a series of five numbers: 1. The minimum, or the smallest observation in the data set. 2. The lower quartile (Q1), which is the median of the lower half of the data set, or the number above 25% of the observations. 3. The median (Q2). 4. The upper quartile (Q3), which is the median of the upper half of the data set, or the number above 75% of the observations. 5. The maximum, or the greatest observation in the data set.44
5018173662Interquartile Range (IQR)The range between the upper and lower quartiles; Q3 - Q1. This range contains the middle 50% of the observations in the data set.45
5018175984Lower quartile (Q1)The number that is greater than or equal to 25% of the observations in a numeric data set. (25% is an approximation if the number of observations is not divisible by 4; the definition is based on a theoretical distribution with an infinite number of observations.) This term usually refers to only one number, but sometimes statisticians refer to the lower quartile as the lower 25% of a data set. The lower quartile can also be described as the median of the lower 50% of a sorted list of numbers.46
5018179325OutlierAn individual observation falling well outside the overall pattern of the data. For data described with a median-based five-number summary, an outlier is defined as an observation that is more than 1.5 IQRs below Q1 or above Q3.47
5018179326skewA characteristic of the shape of a distribution in which a larger proportion of the observations have values at either the upper or lower end of the distribution, and a smaller percentage of observations have values that extend toward the opposite end of the distribution.48
5018179373upper quartile (Q3)The number that is above or equal to 75% of the observations in a numeric data set.49

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