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29 Cards in this Set

  • Front
  • Back
Central Tendency
way in which quantitative data tend to cluster around some value
Central Tendency
single number closest to the center of distribution; represents all the data
a single value that summarizes or represents the general significance of a set of unequal values
Central Tendency Number/value
Generic Quantitative Data
set denotated by X , X , Xn
adding up the values and then dividing by the number of values
Sample Mean
observations only of sample data (common mean used)
Population Mean
Observations of every single item or unit of a population
Factors of MEAN
- uses all data
- varies less then median and mode in repeated samples
- used in computing other important statisticas
- is unique and not neccessarily equal to any data value in the data set
- effected by OUTLIERS and may not be appropriate for data sets conaining outliers
(not resistant to OUTLIERS)
the middle value of the observations ( values are in ascending order)
if even number of observations exists, the median is the mean of the two middle values
Factors of Median
- used to find the center or middle value
- used to determine whether a given data value falls above or below 50%
- effected less then the mean by OUTLIERS
Sample Mode
Data value that occurs the most; may not be in the center (aka crude mode or model class)
1 Mode
1 Modes
several Modes
No Mode
data values only occur once
Factors of MODE
- most frequent value is saught
- simplest "average" to find
- can be used for group categorical data
- isn't always unique
Sample Mid-Range
sum of smallest and largest data value divided by 2
Factors od MIDRANGE
- not resistant to outliers
- easy to compute
- uses only 2 data values
- less efficient to the mean
Symmetrical Distribution
all values of average (mean, median, mode) are the same value
Skewed Distribution
the mean shifts toward the direction of the skew (right and left skew)
Positive Skew
Right Skew; most common; mean to the right and is therefor larger then the median and mode (Mode, Median, then Mean)
Negative Skew
Left Skew; Mean is to the left (Mean, Median, then Mode)
Sample Mean Formula
write formula:
Population Mean Formula
write formula:
Left Skewed
Draw Skew
Right Skewed
Draw Skew
Symmetrical Distribution
Draw scale