Introduction to Statistics (MATH211)
Variables and Graphs; Statistic, population and sample, inductive and descriptive statistics. Variables; Discrete and continuous. Frequency Distributions; General rules of forming frequency distributions. Histograms and frequency polygons. Measures of central tendency; the arithmetic mean, the median and the mode. Harmonic and geometric mean, root mean square, quartiles deciles and percentiles. Measures of dispersion; the range, the mean deviation, the semi-interquartile range, the 10-90 percentile range, the standard deviation, the variance. Elementary probability theory; conditional probability, probability distributions, expectation, relation between population, sample, mean and variance. Some discrete probability distributions; binomial and normal distributions, poisson distribution, multinomial distribution. Elementary sampling theory. Curve fitting and method of least squares.