An Introduction to Statistics by Arthur H. Hall (auth.) PDF
By Arthur H. Hall (auth.)
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Additional info for An Introduction to Statistics
It divides the distribution into two, and the same way 17 pence and 29 pence are the values which separate the top quarter and the bottom quarter. The value 17 pence can also be regarded as the median of the bottom half and 29 pence the median of the top half; it is more usual to call these the 25th percentile or lower quartile and the 75th percentile or upper quartile. With the median they split the distribution into four equal groups of frequencies. The lOth percentile is also known as the first or lowest decile whilst the 90th percentile is the same as the highest decile.
Fractiles - quartiles, deciles and percentiles may be calculated in a similar manner to the median. Note that the median is strictly the! nth and that this checks with our use above of the 18th value. Had the total frequency been 36 the median would have separated the top 18 items from the bottom 18 and we should have used IS! in calculation. Again in the example used the quartiles would have been the 9th and 27th values; with the median they would have divided the distribution into four equal groups of 8.
5 Example Plot the scattergram for the data and draw the regression line (line of best fit) using the three-point method. e. the equation of the regression line). X y 0 0 2 2 4 4 8 6 4 2 8 8 5 4 12 4 12 6 14 4 16 5 18 8 The student should plot the points himself and follow the working through on his own graph, comparing it with Fig. 9C. ~x = 108 and ~y = 48 giving x = 9, y = 4 for the centroid G. 4). 26 but more convenient points may be chosen from the line of best fit. They-intercept read from the graph is c = I.
An Introduction to Statistics by Arthur H. Hall (auth.)