Suppose you are given the following five pairs of scores: X Y 2 1 3 2 4 3 1 4 10 10   Create a scatter diagram of these scores in the following diagram. For each of the five (X, Y) pairs, click on the plotting symbol (the black X) in the upper right corner of the tool, and drag it to the appropriate location on the grid.   012345678910109876543210yx   Based on your scatter diagram, you would expect the correlation to be     .   The mean x score is MXX = , and the mean y score is MYY = .   Now, using the values for the means that you just calculated, fill out the following table by calculating the deviations from the means for X and Y, the squares of the deviations, and the products of the deviations. Scores Deviations Squared Deviations Products X Y X – MXX Y – MYY (X – MXX)² (Y – MYY)² (X – MXX)(Y – MYY) 2 1           3 2           4 3           1 4           10 10             The sum of squares for x is SSxx = . The sum of squares for y is SSyy = . The sum of products is SP = .     Because the sign of the sum of products is     , the sign of the correlation coefficient     .   The correlation coefficient is r =     .   Look at your scatter diagram again. If you excluded

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.