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Stat Notes Week 1

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Submitted By blackjb84
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* Quantitative is numbers, and qualitative cannot be measured numerically * Descriptive statistics describes sets of data and inferential draws conclusions about the sets of data based on sampling * A population is a set of units interest to a study and a variable is a characteristic or property of the units being studied * A population is a set of existing units and a process produces or generates output over time * A representative sample of n experimental units is a sample selected from the population in such a way that every different sample of size n has an equal chance of selection * Pareto diagram graphs them from highest to lowest * In stem and leaf observations are equal to the number of leafs, count the actual units * Mean, sum/total * Median = middle number when arranged in order * Mode = appears the most times * If data is skewed to the right then the median is less than the mean, symmetric means they are equal, skewed to the left means the mean is less than the median * Range = largest minus smallest * Sample variance, s squared, 1st calculate sample mean, then subtract the mean from each individual number and square that number, add them all up and the divide by n-1 * 1+7+6+6+3+5+3 / 7 = 4.4 * (1 – 4.4)^2 + (7-4.4)^2 + (6-4.4)^2 + (6-4.4)^2 + (3-4.4)^2 + (5-4.4)^2 + (3-4.4)^2 / (7-1) * 11.56 + 6.76 + 2.56 + 2.56 + 1.96 + .36 + 1.96 / 6 = 27.72/6 = 4.62

.32+.78+.63+.31+.38+1.18+.66+.38 / 8 = 4.64/8 = .58
(.32-.58)^2 + (.78-.58)^2 + (.63-.58)^2 + (.31-.58)^2 + (.38-.58)^2 + (1.18-.58)^2 + (.66-.58)^2 + (.38-.58)^2 / (8-1)
.0676 + .04 + .0025 + .0729 + .04 + .36 + .0064 + .04 / 7 = .6294 / 7 = .090

-2+-1+1+-3+0 = -5/5 = -1
(-2--1)^2 + (-1--1)^2 + (1--1)^2 + (-3--1)^2 + (0--1)^2 / (5-1)
1+0+4+4+1 = 10/4 = 2.5 * Standard deviation is the positive square root of the sample variance *

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