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Intro to Statistics
Introductory Statistical Terms
32
Mathematics
Undergraduate 1
05/04/2009

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Term
Descriptive Statistics
Definition
Collection, organization, sumarization, and presentation of data
Term
Sample
Definition
Group within a population
Term
Inferential Statistics
Definition
generalizing from samples to populations performing estimations and hypothesis tests, determining relationships among variables
Term
Discrete Variables
Definition
assume values that can be counted (people, puppies, etc.)
Term
Continuous Variables
Definition
Assume infinite number of values between any two specific values (measurements, weights, temp)
Term
Boundaries/Class Boundaries
Definition
if a value is "14" it means "a value between 13.5 and 14.5", same for class boundaries
Term
Random Sampling
Definition
just pick random people from a population
Term
Systematic Sampling
Definition
Picking like every 7th or 19th or 100000th or whatever^th
Term
Stratified Sampling
Definition
Random sampling within certain strata (ie gender, education level, location)
Term
Cluster
Definition
Picking one strata from a population and sampling all of the members of that strata.
Term
Frequency distribution
Definition
organization of raw data using CLASSES and FREQUENCIES
Term
rules for classes
Definition
must be exhaustive
Must be equal in width
Must be continuous
Must be mutually exclusive
Preferably class width is odd
Term
Class limit-boundary relationship
Definition
if a limit is 1.856- 3.856 then the boundaries are 1.8555-3.8565
Term
Histogram
Definition
Bar graph, bars touch, class boundaries along the x axis
Term
Frequency Polygon
Definition
class midpoint on the x-axis, frequency on y-axis, line graph
Term
Ogive
Definition
Class boundaries on x-axis, cumulative frequency on y-axis
Term
Mean
Definition
Average- all values in sample divided by number of values
Term
Mean for frequency chart
Definition
If all you get is a frequency chart, find the midpoint of each class, multiply the frequency of each class by the midpoint, and divide that by the number of values
Term
Median
Definition
Value in middle. If there are an even number of values, average those two
Term
Mode
Definition
Value that occurs most often
Term
modal class
Definition
Class on a frequency chart that has the most values
Term
Midrange
Definition
lowest value plus highest value divided by two
Term
Range
Definition
Shown as "R", = highest value-lowest value
Term
Chebyshev's theorem
Definition
The proportion of values from a data set that will fall "k" standard deviations from the mean will be at least 1-1/k^2 where K is greater than one
Term
P(BlA)
Definition
Probability that B will happen, given A happening
Term
Discrete probability distribution
Definition
Consists of the values a random variable can assume and the corresponding probabilities of the values.
Term
Binomial Experiment
Definition
Fixed number of trials
Only two outcomes each
Independent outcomes
Probability of success must remain same for all outcomes
Term
P(S)
Definition
Probability of success in a binomial experiment
Term
P(F)
Definition
Probability of failure
Term
q
Definition
Numerical probability of failure
Term
Standard Normal distribution
Definition
Mean of zero
Standard Deviation of one
Term
Central Limit Theorem
Definition
As sample size, n, approaches infinity the distribution curve will approach normal.
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