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Section 1-7: Analyzing and displaying data

Section 1-7: Analyzing and displaying data. Goal: Use statistical measures and data displays to represent data. Measures of Central Tendency. Mean – average, of n numbers the mean is the sum of the numbers divided by n

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Section 1-7: Analyzing and displaying data

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  1. Section 1-7:Analyzing and displaying data Goal: Use statistical measures and data displays to represent data.

  2. Measures of Central Tendency • Mean – average, of n numbers the mean is the sum of the numbers divided by n • Median – middle, of n numbers the median is the middle number when the numbers are written on order. If n is even, the median is the mean of the two middle numbers. • Mode – most frequent, of n numbers the mode is the number or numbers that occurs most frequently. There may be one mode, no modes, or more than one mode.

  3. Example 1: Find the Measures of Central Tendency • Find the mean, median and mode(s) of the 30 team scores

  4. Measures of Dispersion Range – difference between the greatest and least data values.

  5. Example 2: Find the Ranges of Data Sets • Find the range of the Eastern and Western Conferences. • Range of Eastern Conference: • Range of Western Conference:

  6. Box and Whisker Plots • Lower quartile – is the median of the lower half. • Upper quartile – is the median of the upper half.

  7. Example 3: Find the Lower and Upper Quartiles a. 10, 15, 17, 18, 20, 21 b. 31, 33, 33, 35, 36, 39, 40, 41, 41

  8. Checkpoint: Find the Range, Median, and Lower and Upper Quartile • Find the range, median, lower quartile, and upper quartile for each set of data. • 11, 15, 16, 16, 17, 20, 24, 24, 24, 27, 29 • 47, 50, 51, 55, 55, 55, 57, 63, 66, 68, 68, 75

  9. Drawing a Box and Whisker Plot

  10. Example 4: Draw a Box and Whisker Plot • Draw a box and whisker plot of the Eastern Conference Data

  11. Checkpoint: Draw a Box and Whisker Plot • Draw a box and whisker plot of the Western Conference Data

  12. Homework: p. 49-50 10-42 even, 43-46

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