week 3: central tendency and variability Flashcards
Measures of central tendency
mean
mode
median
Measures of variability
range
variance
standard deviation
what is Central tendency
most typical or common score
Central tendency: The mean
the average score
symbols and meaning
S: the sum of
X: a score in the distribution of a variable X
N: the number of scores in a distribution
Central tendency: The mode
the most common score in a unimodal (one peak) distribution
Central tendency: The median
the middle score when all scores are ranked (usually lowest to highest)
when is The median a better measure for central tendency than the mean
in skewed distributions, a few extreme scores can affect the mean
skews and central tendency
normal distribution: mode/mean/median equal
skewed distributions both way the median is best to use
Variability
how spread out the scores are in a distribution
Variability
how spread out the scores are in a distribution
Measures of variability
Range
Interquartile range
Variance
The standard deviation
Range
difference between the highest and lowest obtained scores
Interquartile range (IQR)
boundaries for the middle 50% of scores
Variance
how spread out a set of scores is around their mean
Sum of Squares (SS)
the sum of the squared deviation scores (numerator of the equation)
The standard deviation
SD is the square root of the variance