Lesson 5: Measure of Variability Flashcards
3 measures of dispersion
- range
- quartile
- standard deviation
_________ is the spread of your data from the lowest to the highest value in the distribution.
Range
Divide the data into four equal parts
quartile
to know which partitioned is concentrated with the data
box plot
Excel formula for standard deviation
=STDEV.P (dataset)
is a statistic that measures the dispersion of a dataset relative to its mean
Standard deviation
the most popular measure of dispersion
standard deviation
it is denoted by greek letter sigma
standard deviation
The empirical rule:
- 68% of data are within 1 standard deviation
- 95% within of data are within 2 standard deviation
- 99.7% of data are within 3 standard deviation
Formula of Frequency distribution converted to probability distribution
Frequency/total samples
i.e. 5/1000 = 0.005
Indicates how many standard deviation from the mean
Z-score
Allows us to “standardize” data for comparison
Z-score
Let us help to know the difference between the two distribution
Standard deviation & mean