1143 Flashcards
what are the 3 measures of dispersion
range
variance
standard deviation
effects of outliers on range
strongly affected by outliers so limited usefulness
what does IQR show
50% of the data around the mean
how to identify outlier
IQR X 1.5 (+-) Q1/Q3
variance definition
a measurement of how far each number in a data set is from the mean and thus from every other number in the set
calculating variance steps
1- find the difference between each value and the mean
2- square these differences
3- add the differences together
4- divide by the number of data points (-1 if sample, if population divide by number of data points
why do you square the deviations
- if you add all the deviaions you would get 0
- also to account for the negative numbers
how to calculate standard deviation
square root the variance
normal distribution definition
a probability distribution that is symmetric about the mean, showing that the data near the mean are more frequent in occurrence than data far from the mean
standard deviation can only be used on normally distributed data, true or false
true
what test determines whether data is normally distributed
Shapiro-Wilk test