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Section 14.3

Section 14.3. Measures of Disbursement. Objective. Determine the spread of a data set. Key Terms:. Range: the difference between the largest and the smallest data values in the set. Standard Deviation: a measure based on calculating the distance of each data value from the mean.

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Section 14.3

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  1. Section 14.3 Measures of Disbursement

  2. Objective • Determine the spread of a data set.

  3. Key Terms: • Range: the difference between the largest and the smallest data values in the set. • Standard Deviation: a measure based on calculating the distance of each data value from the mean.

  4. Computing the Standard Deviation • To compute the standard deviation for a sample consisting of n data values, do the following: • Find Χ • Compute Deviation: (X – Χ) • Compute (Deviation)2 • Compute s

  5. Computing the Sample Standard Deviation for a Frequency Distribution • To compute the sample standard deviation for a frequency distribution consisting of n data values, do the following: • Find Χ • Compute Deviation: (X – Χ) • Compute (Deviation)2 … Σcolumns 2, 3, and 6. • Compute s

  6. Example 1: • Find the range, mean, and standard deviation for the following data set. • TB pg. 814/1

  7. Example 2: • TB pg. 814/5

  8. Example 3:Calculate s for a frequency distribution. • TB pg. 814/ 11

  9. Example 4:Calculate s for a frequency distribution. • TB pg. 814/15

  10. Example 5:Find the mean and standard deviation. • TB pg. 815/19

  11. Example 6:Find the mean and standard deviation. • TB pg. 816/21

  12. Key Concept: • Calculate number of s from x. • Formula:

  13. Example 7:Calculate number of standard deviation from mean. • TB pg. 816/27

  14. Example 8:Calculate number of standard deviation from mean. • TB pg. 817/29

  15. Key Concept: • Calculating coefficient variable. • CV =

  16. Example 9:Calculate coefficient variable. • TB pg. 817/31

  17. Example 10:Calculate coefficient variable. • TB pg. 817/33

  18. Example 11:Calculate coefficient variable. • TB pg. 817/37

  19. Section 14.3 Assignment • Class work: • TB pg. 814/2 – 22 Even, and 28 – 38 Even • Please remember to write problems and show work. • This assignment is due Mon., 12/19/11. • THIS ASSIGNMENT WILL NOT BE ACCEPTED LATE!!!

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