Chapter 1 descriptive_stats_2_rev_2009

CHAPTER 2 DESCRIPTIVE STATISTICS ,[object Object]

[object Object],[object Object],Learning Objectives:

Pictorial & Tabular Methods 1. Stem-and-Leaf Displays : How to construct a Stem-and-Leaf Display: ,[object Object],[object Object],[object Object],2. List the stem values in a vertical column. 3. Record the leaf for each observation beside its stem. 4. Write the units for stems and leaves on the display.

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1 6 7 2 6 6 8 9 3 0 4 5 7 7 9 4 0 1 1 2 3 5 5 5 9 5 1 2 2 6 6 6 6 7 7 9 6 0 3 4 4 4 5 6 8 7 2 3 3 6 6 8 3 4 6 9 0 1 2 ,[object Object],Stem & Leaf Display Stem: tens digit Leaf: ones digit

2. Histogram : A bar graph representing a frequency distribution of a quantitative variable.A histogram is made up of the following components. Histograms are used to summarize large data sets . Histogram: ages of 100 students Age Freq. Rel. Freq. 18 20 0.20 19 24 0.24 20 26 0.26 21 18 0.18 22 5 0.05 23 3 0.03 24 2 0.02 25 2 0.02 Sum 100 1.00 0.20 0.30 Rel. Freq.

3. Box plot : ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],a box plot displays the median, the first quartile and the third quartiles on a rectangular box, aligned either horizontally or vertically. sometimes called box whiskers plot.

[object Object],Use the following rule : Numerical Summary : Sample Median

[object Object],LOWER QUARTILE, UPPER QUARTILE, INTERQUARTILE RANGE Step 1. Arrange the values in increasing order Step 2. Q 1 is the value in position 0.25(n+1) Q 3 is the value in position 0.75(n+1) Step 3. If the positions are not integers, Q 1 and Q 3 are found by interpolation , using adjacent values ,[object Object]

Chapter 1 descriptive_stats_2_rev_2009

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