ST370 Prob & Statistics for Engineers NC State, complete
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Population
The entire collection of subjects we wish to target
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Sample
A subset of the population
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Univariate
1 variable
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Bivariate
2 variables from the same subject
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Multivariate
2 or more variables from the same subject
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Qualitative Data
Categorical, descriptive (yes/no, blue, etc)
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Quanitative Data
Numeric (include discrete and continous)
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Discrete Data
Primarily count data (the number of...)
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Continuous Data
Data from measurements (can take on any value w/in some interval)n
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Stratified Sample
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helps avoid biased data (If there are 2X white people than Hispanics, then the sample should have 2X white people than Hispanics)
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Convenience Sampling
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Stay away from this, (Choosing to only sample from one assembly line on the shop floor)
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Simple Random Sampling
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(A name is drawn out of a hat)
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Experiment
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allows us to draw cause and effect b/c of the ways its designed (the best)
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Survey
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A questionnaire or observation
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Descriptive Statistics
use of graphs, numeric computations to summarize the data
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Inferential Statistics
Make and inference using sample statistics back to the population
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Sample Mean (x ̅)
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Population mean (μ)
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Sample Median (x ̃)
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Population Median(μ ̃)
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Sample Relative Frequency (p ̂)
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Population Proportion (p)
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Sample Standard Deviation (s)
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Population Standard Deviation (σ)
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Sample Variance (s2)
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Population Variance (σ2)
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Trimmed Mean
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trim a certain percentage of values from the ends of the data set, and then average whats left
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Standard deviation (s)
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The size of a typical deviation (calculator function)
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Variance (s2)
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How data points vary from the mean
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n
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sample size
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N
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population size
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Center
tells us what a typical value in the data set should be (If data is fairly symetric use mean, otherwise, use median)
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Spread
The range of data
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Skew
If the bell curve is shifted left (negative skew) or right (positive skew)
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Box Plots
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They show us outliers visually, and are great for comparing multiple data sets
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Quartiles
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Values that divide the sorted data set into 4 equal parts.
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Q1
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The smallest 25% of data
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Q2
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The median
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Q3
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The 75% mark
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Q4
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The max value
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percentiles
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If a value is in the first quartile, then 75% of the values are grater than that, so your in the 75th percentile
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Box Plots
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Show us outliers visually and great for comparing multiple data sets
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Dot Plot
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Dots located above their value on the X-axis
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Stem and Leaf
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The stem of the number includes all but the last digit (so 38|3 would be 38.3)
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Histogram
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Like box graphs but there's no spaces between columns, can be used with discrete and continuous data
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Histogram Shapes:
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Symmetric, Right(positive) skew, Left (negative) skew, Bi-modal (2 peaks), and Multi-modal (many peaks)
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