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50 Cards in this Set
- Front
- Back
Statistics
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Set of tools to collect, organize, summarize, analyze and draw conclusions from data
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Descriptive Stats
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Collection, organization, summarization and presentation of data
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Inferential Stats
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Inferences from sample to population uses probability to draw conclusions
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Data
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numbers, observations, that replace the random variables.
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Population
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everything involved in your study
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Sample
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apart of your population
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Probability
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#of succeses divided by the number of choices
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Variable
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a characteristic or attitude that can assume different values
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Qualitative Variables
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Can be placed into distinct categories according to some characteristic or attribute.
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Quantitative Variable
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Numerical and can be ranked
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Discrete
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Assume values that can be counted
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Continuous
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Assumes values between any two specific obtained by measuring
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Measurement scale 4
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Nominal
Ordinal Interval Ratio |
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Types of Sampling
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Random
Systematic Stratified Cluster |
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Observational Study
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Observe what is happening or what has happened- draw conclusions
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Experimental study
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researcher manipulates one of the variables and tries to determine how to manipulation influences other variables.
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Frequency Distribution
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Organization of raw data in a table form, using classes and frequencies.
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3 Types of frequencies
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A) Categorical= qualitative
B) Grounded= large range C) Ungrounded= small range |
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Class Width
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Range/# of classes you choose
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Histogram
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(Class boundaries, class frequency)
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Frequency polygon
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(mid point, class frequency)
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Ogive
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(class boundaries, cumulative frequency)
When your interested in more then 1 class |
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Relative Frequency equation
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# of frequency compared to total=%
#/ total of all frequencies |
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Relative Frequency
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Distributions using proportions instead of raw data as frequencies.
Compare 2 different things |
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What relative frequencies sum is..
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one
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Steam and leaf..
y use |
Small data and large range
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Measures of central Tendency 4
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Mean, Median, Mode and midrange
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Measures of variation 3
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Range, variance, standard deviation
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Measures of position 2
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Percentiles, Quantiles
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Data Analysis 2
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Box plot, 5 # Summary
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A characteristic of a sample
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Statistic
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A Characteristic of a population
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Parameter
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What 3 things keep in mind when summarizing data
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Center-spead-shape
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Population Mean
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m
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Sample Mean
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x
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Mid range
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lowest value + highest value /2
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Symmetrical
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Mean median and mode equal
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Positive skew
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mean, median, mode
large smaller smallest |
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Negative Skew
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Mode, median, mean
large smaller smallest Data tends to be towards the end of the data(higher numbers) |
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Variance
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Take number - average of all numbers and then square it
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Standard deviation
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Square root of the variance
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Uses of variance and standard deviation
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1)determines the spread of the data
2) Compares 2 or more sets of data 3) Determines the consistency of the data 4) No. of data values that fall within a specified interval |
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Variance def
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The average of the equare of the distance that each value is from the mean
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Coefficient of variation
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Standard deviation / mean X 100
allows u 2 compare 2 things |
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Z score
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Value-mean/ standard deviation
-It represents the # of standard deviations that a data value falls above or below the mean Z > 0 above mean Z=0 same mean Z< 0 below mean |
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Percentiles
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% the data set into 100 equal groups
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Random Variable
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Phenomenon which can assume different values
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Stratified Sample
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Divides sample into subsets possessing a certain characteristic
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Data
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Numbers, observations that replace the random variables
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Relative Frequency
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To convey a frequency into a proportion or relative frequency
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