Statistics (Week 3b)
Deviation score = X - μ
Deviation score formula?
Variance = 𝛴(X - μ)^2 / N
Formula for Variance?
√Variance
Formula for standard deviation
Variability
Provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out or clustered together
X = μ + Zσ
Raw score formula?
range
The distance covered by the scores in a distribution, from smallest score to the largest score
z-score
The numerical value of the __ specifies the distance from the mean by counting the number of standard deviations between X and μ
z-scores, standard scores
The purpose of __ or __ __, is to identify and describe the exact location of each score in a distribution
positive, negative
The sign of the z-score (+ or −) signifies whether the score is above the mean (__) or below the mean (__).
raw scores
These original, unchanged scores that are the direct result of measurement are called __ __.
Standard deviation
__ uses the mean of the distribution as a reference point and measures variability by considering the distance between each score and the mean.
Variability describes the distribution, Variability measures how well an individual score (or group of scores) represents the entire distribution.
a good measure of variability serves two purposes:
Range = Xmax - Xmin
formula for range?
Standard deviation
is the square root of the variance and provides a measure of the standard, or average distance from the mean.
Variance
the mean of the squared deviations, the average squared distance from the mean.
z = (X - μ) / σ
z-score formula?