Measures Of Center Flashcards
Arithmetic mean
A common data summary is the arithmetic mean or mean (also called average), computed as the data values’ sum divided by the number of values.
average
A common data summary is the arithmetic mean or mean (also called average), computed as the data values’ sum divided by the number of values.
mean
A common data summary is the arithmetic mean or mean (also called average), computed as the data values’ sum divided by the number of values.
median
Another common data summary is the median, which is the middle value in the sorted list of data values.
outlier
An outlier is a data value that is either much greater than or much less than the rest of the data and not representative of the rest of the data being considered.
Mode
Mode is another measure of center, being the most frequently-occurring value.
maximum
A simple measure of spread is to report the minimum and maximum values, typically along with a measure of center like mean or median.
minimum
A simple measure of spread is to report the minimum and maximum values, typically along with a measure of center like mean or median.
range
Another simple measure of spread is range, which reports the difference between the maximum and minimum values.
MAD
Mean absolute deviation (MAD) is the mean of the absolute difference between each value and the values’ mean.
Mean absolute deviation
Mean absolute deviation (MAD) is the mean of the absolute difference between each value and the values’ mean.
Standard deviation
Standard deviation is the square root of the variance.
Variance
Variance is ∑ni=1(di−mean)2n−1∑i=1n(di−mean)2n−1, where di is a data value and n is the number of data values.
unit area histogram
A unit area histogram has rectangle heights equal to the bin frequency divided by the bin size.
unimodal distribution
A unimodal distribution occurs when there is one (uni) prevalent peak (mode) in the histogram.
class
A class is either a value of a categorical variable or an interval of a continuous variable.
frequency distribution
A frequency distribution is a table that displays how often an outcome occurs for a sample.
frequency
The frequency of a class is the number of events or values that fall under each class.
bin
A histogram depicts data values by splitting a continuous variable into a number of class intervals, each known as a bin.
class intervals
A histogram depicts data values by splitting a continuous variable into a number of class intervals, each known as a bin.
histogram
A histogram depicts data values by splitting a continuous variable into a number of class intervals, each known as a bin.
experiment
An experiment is a procedure that results in one out of a number of possible outcomes.
outcome
An outcome is the result of an experiment.
sample space
The set of all possible outcomes is called the sample space of the experiment.
compound event
A compound event is a subset of the sample space consisting of more than one outcome.
event
A subset of the sample space is called an event.
simple event
A simple event is a subset with a single outcome.