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S3.4 - Measures of Position and Outliers
Measures of Position and Outliers
11
Mathematics
Graduate
11/05/2013

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Term
Z-score
Definition
Represents the distance that a data value is from the mean in terms of the number of standard deviations
Term
Population z-score =
Definition
(x-mew)/sigma
Term
Sample z-score =
Definition
(x-xbar)/s
Term
The higher the z-score
Definition
The further away in standard deviations from the mean
Term
The k-th percentile, Pk
Definition
A value of a set of data such that k percent of the observations are less than or equal to the value
Term
Quartiles
Definition
The most common percentiles that divide data sets into fourths
Term
Interquartile range (IQR)
Definition
The range of the middle 50% of the observations in the data set
Term
IQR =
Definition
Q3 - Q1
Term
Describe the distribution
Definition
To describe the shape (symmetric, skewed), center (mean, median), and spread (standard deviation, interquartile range) of observations in a data set
Term
Outliers
Definition
Extreme observations
Term
Fences
Definition
Cutoff points for determining outliers
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