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Statistics
the product of numbers and procedures
Descriptive Statistics
used to describe a sample
Inferential Statistics
used to draw conclusions about the population
Sample
a group of people who belong to the population that is being measured
Population
the entire group in question
Parameter
describes the population
Variable
anything we can measure that has more than one value
Qualitative Variable
indicates a category or classification
Quantitative Variable
indicates an amount of quantity
Independent Variable
the variable that is being changed
Dependent Variable
the variable that is being measured
Measurement
the systematic and orderly assignment of numerical value to a variable
Ratio Scale
has magnitude, equal intervals, AND absolute zeros
Interval Scale
has magnitude and equal intervals
Ordinal Scale
has magnitude
Nominal Scale
used for QUALITATIVE variables
Frequency Distribution
a set of scores or data organized by frequency
Simple Frequency (f)
scores are organized by simple frequencies (the count of each value)
Relative Frequency (rel. f)
dividing the frequency of each score by the total number of scores
Cumulative Frequency (cf)
reflects the frequency of scores in that distribution equal to and below that score
Cumulative Percentage (c%)
the cumulative frequency divided by N
Percentile Rank (P)
indicates the percentage of the scores in a distribution that are equal to and below that score
Percentile Point (X)
we want to know what score represents a certain percentile rank
Normal Distribution
the bell curve
Skewed Distribution
the tails are more pronounced on one end rather than both ends
Symmetrical Distribution
the distribution has a clear middle point and looks the same on both sides
Bimodal Distribution
there are two highest frequencies on either side of the middle
Order of Operations
Parentheses, Exponents/Square roots, Multiply, Divide, Add, Subtract
Real Limits
represents the range of values that could be rounded to get the whole number (+ and - 0.5)
Rounding
Interpolation
we assume that multiple occurrences of a score are actually different values within the real limits of that number
we assume that the multiple occurrences are equally distant from each other
Central Tendency
the general tendency for most of the scores to lie at or near the center of the distribution
Mean
average
Median
the midpoint
Mode
the score that occurs most frequently
Variability
the extent to which the scores in a distribution deviate from the central tendency or from one another
Range
the difference between the highest and lowest scores in a distribution
Variance
the average squared difference from the mean
Standard Deviation
the average distance from the mean