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Statistics Review

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Definitions:    
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Statistics   the science of collecting, describing, and interpreting data  
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Population   a collection of a set of individuals or objects or events whose properties can be analyzed.  
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Attribute Data   Characteristic  
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Discrete Data   A number that be counted-money  
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Continuous Data   Number that is measureable- time and distance  
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Judgment   Samples that are selected on basics of being typical  
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Probability   Asks about the chance of something specific happening.  
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Random   Every element of a population has an equal probability.  
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Systematic   Every element is selected  
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Stratified   Population is divided into groups  
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Cluster   Divided then groups are sampled  
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Frequency Distribution   a list of data usually put in chart form, that pairs each value of a variable with its frequency.  
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Histogram   bar graph(bars are touching) of a frequency distribution of a quantitive variable.  
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Mean   Average  
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Median   Middle Number  
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Mode   Number that appears most often  
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Range   High - Low  
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Midrange   High + Low / 2  
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Standard Deviation   fluctuation in data.  
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Variance   St. Deviation squared  
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Percentiles   (n)(k)/100  
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Quartiles   value of variables divided by 4 parts  
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5-number Summary   Divides data into 4 subsets, one quarter of data in each subset  
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Class limit    
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Class mark   numerical value that is exactly in the middle of each class  
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Class boundary   Values that make up the class  
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Class Width   How spread apart the numbers are  
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Z-score   Value-mean/St.Dev  
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Emperical Rule   If the data is normally distributed then: within st. deviation of the mean there will be approximately 68% of the data  
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Bivariate Data(types)   Attribute or categorical  
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Input variable   independent variable  
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Output variable   dependent variable  
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Scatter Diagram   a plot of all ordered pairs of bivariate data on a coordinate axis-system  
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Correlation Analysis   measure the strength of a linear relationship between two variables  
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Positive and Negative Correlation   +1=perfect positive -1=perfect negative  
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No Correlation   No relationship between x and y  
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Linear Correlation Coefficient   Numerical measure of the strength of linear relationship between two variables  
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Linear Regression   Finds the equation of the line that best describes the relationship between two variables  
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Equation of the line of best fit: Slope and Intercept    
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Estimation the line of best fit   Determined by slope and y-intercept  
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Experimental and theoretical probability   Observed relative frequency with which an event occurs value of events A's occurrence  
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Mutually exclusive events   Outcomes in Sample space can never overlap  
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Dependent Events    
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Independent Events   Two events A + B are independent, if one does not affect the probability assigned to the occurrence of the other.  
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Law of Large Numbers   If the # of times an experiment is increased, the ratio of the # of successful occurrences is the number of trials tend to approach the theoretical probability of the outcome of trial.  
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Complement of an event   the set of all sample points in the sample space that doesn't belong to event A. The complement of Event A is denoted by A.  
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Conditional Probability   the symbol (A/B) represents the probability that A will occur given that B has occurred  
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Addition Rule of Probability   P(A/B)= P(A)+ P(B)-P(A and B)  
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Multiplication Rule of Probability   P(A and B)=P(A)X P(B/A) or P(A and B)= P(B)X P(A/B)  
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Bayes' Rule   P(A/B)= P(A1) X P(B/A1)/E[P(A1)- P(B/A1)  
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