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Engineering Statistics - IE 261

Engineering Statistics - IE 261. Chapter 6 Random Sampling and Data Description URL: http://home.npru.ac.th/piya/ClassesTU.html http://home.npru.ac.th/piya/ webscilab. 6-1 Numerical Summaries. Definition: Sample Mean. 6-1 Numerical Summaries. Example 6-1. 6-1 Numerical Summaries.

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Engineering Statistics - IE 261

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  1. Engineering Statistics - IE 261 Chapter 6 Random Sampling and Data Description URL: http://home.npru.ac.th/piya/ClassesTU.html http://home.npru.ac.th/piya/webscilab

  2. 6-1 Numerical Summaries Definition: Sample Mean

  3. 6-1 NumericalSummaries Example 6-1

  4. 6-1 NumericalSummaries Figure 6-1The sample mean as a balance point for a system of weights.

  5. 6-1 NumericalSummaries Population Mean For a finite population with N measurements, the mean is The sample mean is a reasonable estimate of the population mean.

  6. 6-1 NumericalSummaries Definition: Sample Variance

  7. 6-1 NumericalSummaries How Does the Sample Variance Measure Variability? Figure 6-2How the sample variance measures variability through the deviations .

  8. 6-1 NumericalSummaries Example 6-2

  9. 6-1 NumericalSummaries

  10. 6-1 NumericalSummaries Computation of s2

  11. 6-1 NumericalSummaries Population Variance When the population is finite and consists of N values, we may define the population variance as The sample variance is a reasonable estimate of the population variance.

  12. 6-1 NumericalSummaries Definition

  13. 6-3 Frequency Distributions and Histograms • A frequency distributionis a more compact summary of data than a stem-and-leaf diagram. • To construct a frequency distribution, we must divide the range of the data into intervals, which are usually called class intervals, cells, or bins. • Constructing a Histogram (Equal Bin Widths):

  14. 6-3 Frequency Distributions and Histograms Figure 6-7Histogram of compressive strength for 80 aluminum-lithium alloy specimens.

  15. 6-3 Frequency Distributions and Histograms Figure 6-8A histogram of the compressive strength data from Minitab with 17 bins.

  16. 6-3 Frequency Distributions and Histograms Figure 6-9A histogram of the compressive strength data from Minitab with nine bins.

  17. 6-3 Frequency Distributions and Histograms Figure 6-10A cumulative distribution plot of the compressive strength data from Minitab.

  18. 6-3 Frequency Distributions and Histograms Figure 6-11Histograms for symmetric and skewed distributions.

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