PSYC 2260 Lecture Notes - Lecture 2: Standard Deviation, Central Tendency, Squared Deviations From The Mean

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PSYC 2260 Introduction to Research Methods in Psychology
Chapter 2 Central Tendency and Variability
2 Type of descriptive Statistic:
1.Central Tendency
Measures of central tendency
- The mean (the arithmetic average): average of data
- The mode: the most frequency occurring score in a set of data
- The median: the middle score in a range of scores (the 50t percentile)
*in perfectly bell-shape distribution, the mean = the mode = the median
Sometimes the median can be more representatives than the mean
Outlier: score with an extreme value in relation to the other scores in the distribution
2.Dispersion
Measures of dispersion
Range (2 types)
1. Potential range: distance between lowest & highest possible score
2. Obtained range: distance between lowest & highest actual score
Variance and Deviation
1. Variance SD2
-Definitional formula: the average of the squared deviations of the scores from the mean
SD2 = sum of (X-M)2 / N
Directly showing the meaning of the procedure
-Computational formula (short cut):
Does not directly show the meaning of the procedure
- Use N-1 when researcher have score from a particular group of people and researcher want
to estimate what the variance would be for the larger group of people whom these
individual represent
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