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Chapter 15. Basic Statistics. §15 .1 thru 15.4 – Graphs. Bar graphs Example 1 p. 483 Problems 15.1 #18, 20, 22 (p. 483) Circle graphs Figure 15.2 p. 485 Example 1 p. 485 Problems 15.2 #12, 16 (p. 487) Line graphs Example 1 p. 488 Problems 15.3 #2, 4 (p. 489 – 490) Other graphs
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Chapter 15 Basic Statistics
§15.1 thru 15.4 – Graphs • Bar graphs • Example 1 p. 483 • Problems 15.1 #18, 20, 22 (p. 483) • Circle graphs • Figure 15.2 p. 485 • Example 1 p. 485 • Problems 15.2 #12, 16 (p. 487) • Line graphs • Example 1 p. 488 • Problems 15.3 #2, 4 (p. 489 – 490) • Other graphs • Examples 1 and 2 p. 491 • Problems 15.4 #5, 10 (p. 492)
§15.5 thru 15.6 – Averages and Percentiles • Averages (Central Tendency) • Finding a number which describes a set of data • 3 general methods • Mean • Median • Mode
§15.5 thru 15.6 – Averages and Percentiles • The Mean • The Mean of a set of numbers is found by adding all of the numbers together, and dividing by the amount of numbers. • The Median • The Median of an ordered set of numbers is the middle number (if there is no middle number, then the median is the mean of the two middle numbers). • The Mode • The Mode of a set of numbers is the most frequently occurring number. There may be more than one mode.
§15.5 thru 15.6 – Averages and Percentiles • Examples: • 13 students took an exam, with the following scores. Find the mean, median, and mode score.98, 92, 90, 85, 85, 82, 77, 76, 75, 74, 74, 68, 52 • 10 people were surveyed for their salary. The following data was collected. Find the mean, median, and mode salary.35,000,000 59,50099,500 55,30088,300 30,20067,200 25,40060,000 22,000
§15.5 thru 15.6 – Averages and Percentiles • Percentiles • Dividing a set into 100 parts and determining where a particular element falls • Example 4 p. 495
§15.9 – Statistical Process Control • Mean control chart • Data plotted over time • Center line – target value • Control lines – show upper and lower tolerances • Complicated formula to determine control lines • Process is out of control if: • Any point is outside a control line • 9 or more consecutive points fall on one side of the control line • Figure 15.8 p. 506 • No problems assigned from this section (need Sx)