STAT-2126EL Chapter Notes - Chapter 1-5: Normal Distribution, Inflection, Standard Deviation
Document Summary
Chapter 5; the normal curve & standard scores. A symmetrical, bell-shaped curve with mean, median & mode equal to each other, a specified kurtosis. Kurtosis; refers to the sharpness or flatness of a curve as it reaches its peak. The normal curve is a theoretical curve & is only approximated by real data. Inflection points are located where the curvature changes direction. If the bell-shaped curve is a normal curve, the inflection points are at 1 standard deviation from the mean. Asymptotic; approaching a given value as a function extends to infinity. Special relationship between the mean & the standard deviation with regard to the area contained under the curve. Standard score; a transformed score that designates how many standard deviation units the corresponding raw score is above or below the mean. Score transformation; the process by which the raw score is altered. Z scores are expressed relative to a distribution mean of 0 & a standard deviation of 1.
