Chapter 4: Measuring center and spread of a distribution

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Median, IQR
Erin Vales
Flashcards by Erin Vales, updated more than 1 year ago
Erin Vales
Created by Erin Vales over 6 years ago
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Mean the sum of all measurements divided by how many measurements there are mean is not resistant to outliers
Population mean symbol
Median cuts the ordered data set into half resistant to outliers if n is odd, then L(M) is a whole number and is an observation if n is even, then L(M) is a fraction and is the average of the ordered observations
Range the difference between the smallest and largest observations not resistant to outliers a measure of the overall spread
Variance a measure of variability about the mean
Population Variance
Sample Variance
Sample variance computation steps
Standard Deviation the difference between the data value and the mean tells us how far things are away from the mean it is the square root of the variance
Interquartile Range (IQR) a measure of dispersion around the median resistant to outliers better measure of spread for skewed distributions IQR - Q3 - Q1
Box Plots a graphical display which uses several of the numerical measures to give information on symmetry, skewness, spread, outliers 5 number summary
Box Plot construction
Independent/explanatory variable (X) the measurement variable that has no restraints placed on it and that attempts to explain the observed outcomes of another variable - ex. time spent to study for an exam
Dependent/response variable (Y) the measurement variable that measures an outcome of a process that is the effect or consequence of the independent variable ex. exam scores
Scatterplot used to describe the relationship between the independent and dependent variables description includes specifying the direction, form, and strength of relationship
Positive Association if small values of X are associated with small values of Y and large values of X are associated with large values of Y the trend in a scatterplot will be upward sloping
Negative Association if small values of X are associated with large values of Y and vice versa the trend in a scatterplot will be downward sloping
Direction determines the type of association between X and Y upward/downward sloping
Form describes the type of trend in the data
Trend Linear (straight line) Nonlinear (exponential, quadratic)
Strength measures the amount of scatter of a relationship more scatter = weaker relationship less scatter = stronger relationship
Contingency Tables a two way table which describes the relation between two categorical variables data from table can be represented in a bar graph
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