PSYC 243: CHAPTER 2- FREQUENCY DISTRIBUTIONS

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Frequency Distribution
An organized tabulation of the number of individuals located in each category on the scale of measurement. Can be a table or graph
Distribution presents the same two elements:
The set of categories that make up the original measurements A record of the frequency, or number of individuals in each category
Proportion
Measures the fraction of the total group that is associated with each score
Percentage
Is associated with each score First, find proportion than multiply by 100
Purpose for constructing a table:
To obtain a relatively simple, organized picture of data.
Grouped Frequency Distribution Table
This can be accomplished by grouping scores into intervals and then listing the intervals in the table instead of listing each individual score.
Class Intervals
Groups or intervals
Guidelines for Frequency Distribution Tables
The grouped frequency distribution table should have about 10 class intervals
 The width of each interval should be a relatively simple number
 The bottom score in each class interval should be a multiple of the width
 All intervals should be the same width
Histogram
First list the numerical scores (the categories of measurement) along the X-axis. Then you draw a bar above each X values so that: the height of the bar corresponds to the frequency of that category for continuous variables, the width of the bar extends to the real limits of the catego…
Bar Graph
When the scores are measured on a nominal or ordinal scale (usually non-numerical values); the frequency distribution is displayed this way.
Smooth Curve
Indicates that you are not connecting a series of dots (real frequencies) but instead are showing the relative changes that occur from one score to the next.
Characteristics of a Distribution
shape central tendency variability
Central Tendency
Measures where the center of the distribution is located
Variability
Tells whether the scores are spread over a wide range or are clustered together
Shape
Is defined by an equation that prescribes the exact relationship between each X and Y value on the graph
Symmetrical distribution
It is possible to draw a vertical line through the middle so that one side of the distribution is a mirror image of the other
Skewed Distribution
The scores tend to pile up toward one end of the scale and taper off gradually at the other end.
Tail
The section where the scores taper off in a distribution
Positively Skewed
A skewed distribution with the tail on the right-hand side
Negatively Skewed
A skewed distribution with the tail on the left-hand side

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