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Ch. 1 An Introduction to Analyzing Statistical Data
Flashcards for studying CK-12 Advanced Probably and Statistics (Second Edition)
34
Mathematics
12th Grade
02/12/2014

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Term
bias
Definition
A statistic is biased if it is calculated in such a way that is systematically different from the population parameter of interest
Term
bimodal
Definition
Data clustered about two different modes
Term
Chebyshev's Theorem
Definition
A theorem that gives us information about how many elements of a data set are within a certain number of standard deviations of the mean.
Term
deviation
Definition
The difference between a data value and the mean.

Deviation = x - xbar
Term
interquartile range (IQR)
Definition
The inter-quartile range of a list of numbers is the upper quartile minus the lower quartile.
Term
interval
Definition
With interval measurement, there is significance to the distance between any two values. An example commonly cited for interval measurement is temperature. Does not include the concept of "nothingness" or zero
Term
interval estimate
Definition
A range of values estimated to include the parameter.
Term
levels of measurement
Definition
NOIR
Nominal, Ordinal, Interval, Ratio
Term
lower quartile
Definition
a number (not necessarily a number in the list) such that at least 1/4 of the numbers in the list are no larger than it, and at least 3/4 of the numbers in the list are no smaller than it.
Term
mean absolute deviation
Definition
Mean of the absolute deviations about the mean.
Term
midrange
Definition
the mean of the maximum and minimum values of the data set.
Term
n% trimmed mean
Definition
The mean of a sample after a certain percentage of the extreme values are removed
Term
nominal
Definition
A nominal measurement is one in which the values of the variable are names. The names of the different species of Galapagos tortoises are an example of a nominal measurement.
Term
numerical variable
Definition
a quantitative variable
Term
ordinal
Definition
An ordinal measurement involves collecting information of which the order is somehow significant. The name of this level is derived from the use of ordinal numbers for ranking (1st, 2nd, 3rd, etc.). In ordinal measurement, the distance between two consecutive values does not have meaning.
Term
outliers
Definition
An extreme point that stands out from the rest of the distribution.
Term
parameter
Definition
A numerical property of a population, such as its mean.
Term
percentile
Definition
The point below which a specified percentage of the observations fall.
Term
point estimate
Definition
The specific value taken as the estimate of a parameter.
Term
population
Definition
Complete set of events in which you are interested.
Term
qualitative variable
Definition
When a characteristic can be neatly placed into well-defined groups, or categories, that do not depend on order, it is called a categorical variable, or qualitative variable. Qualitative variables are measured on a nominal scale
Term
quantitative variable
Definition
Quantitative variables are measured on an ordinal, interval, or ratio scale
Term
ratio
Definition
the estimation of the ratio between a magnitude of a continuous quantity and a unit magnitude of the same kind. A variable measured at this level not only includes the concepts of order and interval, but also adds the idea of ’nothingness’, or absolute zero.
Term
resistant
Definition
A statistic is said to be resistant if corrupting a datum cannot change the statistic much. The mean is not resistant; the median is.

not influenced by the presence of outliers
Term
sample
Definition
Set of actual observations. Subset of the population.
Term
sampling error
Definition
Variability of a statistic from sample to sample due to chance.
Term
standard deviation
Definition
Square root of the variance.
Term
statistic
Definition
a numerical quantity (such as the mean) calculated in a sample. Such statistics are used to estimate parameters.
Term
trimmed mean
Definition
A trimmed mean is calculated by discarding a certain percentage of the lowest and the highest scores and then computing the mean of the remaining scores. For example, a mean trimmed 50% is computed by discarding the lower and higher 25% of the scores and taking the mean of the remaining scores.
Term
unit
Definition
Each member of the population
Term
upper quartile
Definition
a number such that at least 3/4 of the entries in the list are no larger than it, and at least 1/4 of the numbers in the list are no smaller than it.
Term
variables
Definition
Properties of objects that can take on different values.
Term
variance
Definition
The sum of the squared deviations from the mean, divided by the degrees of freedom (N- 1).
Term
weighted mean
Definition
Row or column means where the cell sizes are used to weight the cell means.
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