MEASURES OF CENTRAL TENDENCY, DISPERSION, LOCATION Flashcards
Method of compressing mass of data for better comprehension and description
Summarizing Figures
Make use of the measures of central tendency, dispersion, and location
Summarizing Figures
Mean, median, and mode
Have the typical values; all values that represent all the observations
Measures of Central Tendency
range, variance, and standard deviation
Describe the variability of observations
Measures of Dispersion
percentile, decile and quartile
Shows relative position of an observation in an array
Measures of Location
Tells us where the values tend to clump but not measure the spread of variability of data
Measures of Central Tendency
AKA measures of central location
A single value that attempts to describe a set of data by identifying the central position within that set of data
Measures of Central Tendency
Measures of Central Tendency:
is the sum of the values of observations divided by the number of observations.
Sum of the observations ÷ number of observations
Mean
average
Measures of Central Tendency:
Sensitive to different/ extreme observations; any change in the observation will change the mean value
Mean
Sum of the deviations of the observations from the mean is equal to zero
Point of balance or center of gravity of the distribution
Measures of Central Tendency:
Most popular and well known measure of central tendency
Mean
Used for discrete and continuous data
X: designate an _____
i: designates ______
𝛴: ______
X̅: _______
observation
position of an observation
summation notation
sample mean
μ: ______
N: # of items in the _____
n: # of items in the _____
population mean
population
sample mean
Measures of Central Tendency:
The middle score for a set of data that has been arranged in order of magnitude
Median
(Odd: middle most observation
Even: mean of 2 middlemost observation)
Measures of Central Tendency:
Middle most observation in a set of observations put in numerical order in an array (ascending or descending)
Median
Not influence by outliers
Measures of Central Tendency:
The most frequently occurring value in a set of observation
Mode
can be determined for any type of variable
Measures of Central Tendency:
Used for categorical data, to know which is the most common category
Mode