PYB110 Exam Revision Notes - Week 2

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Queensland University of Technology

PYB110 Week Two Revision Notes Measures of Central Tendency The Mean Formula for Calculating  The mean is the average score. It is typical or representative of the overall data. the Mean  It is calculated by adding the sum of all scores and dividing by the X number of scores. M   The mean is the best way for us to estimate the unknown score of an N individual.  The mean is influenced by every score in a distribution. Therefore, it represents all scores but because of this can be influenced by outliers. This can lead to biased means.  There should be equal distance between the total of all mean scores above the mean and below the mean. Therefore it is like a ‘balancing’ point.  The mean can end up being a value or score which does not exist in the original scores. The Mode  The mode is the most common score in a unimodal distribution (normal one peak distribution).  It is represented as the peak in a histogram or frequency polygon.  It is useful only when a few possible values are given as it only describes one score. The Median  The median is the middle score that is evident after all scores have been ranked numerically.  It is easy to identify if there are an odd number of scores as it will always be the middle figure.  If there is an even number of scores it will fall halfway between the two middle scores and will include a .5 of a score.  The median is sometimes a better measure of central tendency than the mean because in the case of skewed distributions, the mean can be distorted by outliers. Which Central Tendency Measure Do I Choose?  How many values are there? o If only a few – consider the mode. o If more than a few – consider either the mean or median.  Shape of the distribution? o If the data is significantly skewed – consider the median. o If the data is symmetrical – consider the mean. This
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