what are measures of central tendency?
analyses how close scores are to the average participant response
what are the three types of average
mean
mode
median
what is the mean?
the average, calculated by adding all data scores together, then dividing the total by the actual number of scores
what type of data does the mean use?
interval/ ratio
strengths of using the mean
-accurate and sensitive as all scores are taken into consideration, therefore is highly representative
-can be used to calculate standard deviation
weaknesses of using the mean
-can be skewed by an anomalous score, making the score unrepresentative of the raw data set
-may not always be an actual score or whole number- not an entirely accurate reflection
what is the median?
the middle score or value that is found with data in an ordered list
what type of data does the median use?
ordinal data or higher
strengths of using the median
-unaffected by extreme scores as only the middle number is used, higher accuracy and representation of the central tendency
weaknesses of using the median
-may not be an actual score (even number)- limited in how representative it is
-not always appropriate to use e.g. small data sets with large differences (1,2,1000,1001 = 501)
what is the mode?
the most common or frequent score
what does bi-modal mean?
the two most common scores
what does multi-modal mean?
three or more scores that are the most common
what type of data does the mode use?
nominal
strengths of using the mode
-unaffected by extreme, anomalous scores, giving a more accurate reflection
-always an actual score, accurate representation of central tendency
weaknesses of using the mode
-not all data sets will have a mode, so limited in its usefulness
-doesn’t take into account all data, only most frequent- inaccurate
what are the two ways we measure dispersion?
range and standard deviation
what are measures of dispersion?
they are used to understand how spread out scores are from the average participant response
what does a large dispersion indicate?
individual differences are present and/or poor experimental control (inconsistencies in the data)
-the larger the SD of a set of scores, the larger the variation and more spread out they are relative to the mean
what data does standard deviation use?
interval/ ratio data
what does standard deviation indicate?
the average of the distances of all scores around the mean
-measuring how much individual scores deviate from the mean in a single number
strengths of using standard deviation
-higher validity as all values are taken into account, giving a more accurate representation of data distribution
-allows for interpretation of individual scores (how far they are from the mean)
weaknesses of using standard deviation
-complex to compute and difficult to understand, not quick or easy to calculate
-less meaningful if data is not normally distributed
what data does the range use?
ordinal