Numerical descriptive measures pdf

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They know how to do an amazing essay, research papers or dissertations. Each value in the data set is used in the calculation Values far from the mean are given extra weight because deviations from the mean are squared.

A measure of distance from the mean for example, a Z-score of 2. The value Population summary measures are called parameters The population mean is the sum of the values in the population divided by the population size, N N. Most commonly used measure of variation Shows variation about the mean Is the square root of the population variance Has the same units as the original data N. The Box and central line are centered between the endpoints if data are symmetric around the median.

The sample covariance measures the strength of the linear relationship between two variables called bivariate data The sample covariance: n. Covariance between two random variables: and Y tend to move in the same direction and Y tend to move in opposite directions and Y are independent.

Measures the relative strength of the linear relationship between two variables Sample coefficient of correlation:. Unit free Ranges between 1 and 1 The closer to 1, the stronger the negative linear relationship The closer to 1, the stronger the positive linear relationship The closer to 0, the weaker the linear relationship.

There is a relatively strong positive linear relationship between test score 1 and test score 2. Students who scored high on the first test tended to score high on second test, and students who scored low on the first test tended to score low on the second test Chap Should document both good and bad results Should be presented in a fair, objective and neutral manner Should not use inappropriate summary measures to distort facts.

Range, interquartile range, variance and standard deviation, coefficient of variation, Z-scores Symmetric, skewed, box-and-whisker plots. Discussed covariance and correlation coefficient Addressed pitfalls in numerical descriptive measures and ethical considerations.

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