Summarizing Distributions Flashcards
Principle measures of the spread of a distribution
Range (min and max)
IQR (Q3-Q1)
Variance
Standard deviation
Two principle measures of the center of a distribution
Mean
Median
(Mean follows tail)
What are sensitive to extreme values?
Mean
Range
Variance
Standard deviation
What are not sensitive to extreme values?
Median
IQR
The empirical rule applies specifically to…
Symmetric bell-shaped data
Restriction for the range of a sample set of data
It can never be greater than the range if the population
If the population have a variance of zero, the variance of the sample is…
Also zero
BUT a sample variance of zero does not necessarily mean the population has a variance of zero
If the sample has a variance of zero….
The sample mean and the sample median are equal
When there are multiple gaps and clusters, what displays give the best overall picture of the distribution?
Stemplot
Histogram
If the standard deviation of a set of observations is zero, you can conclude…
That all observations are the same value
In stemplots, the number of leaves equals…
The size of the set of data
What displays are useful in showing outliers?
Dotplots
Stemplots