Topic5-Treatment-of-Data

# Topic5-Treatment-of-Data - Treatment of Data Outline: 1. 2....

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1 Treatment of Data 1. Data Summary and Display 2. Random Sampling 3. Stem-and-Leaf Diagram 4. Box Plots 5. Time Sequence Plots 6. Probability Plots Outline:

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2 1 Data Summary and Display Definition (1)
3 1 Data Summary and Display Example 1

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4 1 Data Summary and Display Figure 1 The sample mean as a balance point for a system of weights.
5 1 Data Summary and Display Population Mean For a finite population with N measurements, the mean is The sample mean is a reasonable estimate of the population mean . (2)

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6 1 Data Summary and Display Definition (3)
7 1 Data Summary and Display How Does the Sample Variance Measure Variability? Figure 2 How the sample variance measures variability through the deviations . x x i -

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8 1 Data Summary and Display Example 2
9 1 Data Summary and Display

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10 1 Data Summary and Display Computation of s 2 (4)
11 1 Data Summary and Display 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 . (5)

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12 1 Data Summary and Display Definition (6)
13 2 Random Sampling Definitions

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14 2 Random Sampling Figure 3 Relationship between a population and a sample.
15 2 Random Sampling Definitions

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16 3 Stem-and-Leaf Diagrams Steps for Constructing a Stem-and-Leaf Diagram
17 3 Stem-and-Leaf Diagrams Example 4

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18 6-3 Stem-and-Leaf Diagrams
19 3 Stem-and-Leaf Diagrams Figure 4 Stem-and- leaf diagram for the compressive strength data in Table 2.

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20 3 Stem-and-Leaf Diagrams Example 5
3 Stem-and-Leaf Diagrams Figure 5 Stem-and- leaf displays for Example 5. Stem: Tens digits. Leaf: Ones

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