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Слайды и текст этой презентации

Слайд 1

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Descriptive Statistics

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Section 2.1

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Frequency Distributions 102 124 108 86 103 82 71 104 112 118 87 95 103 116 85 122 87 100 105 97 107 67 78 125 109 99 105 99 101 92

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Frequency Distributions

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Frequency Distributions

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Construct a Frequency Distribution

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Other Information

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Frequency Histogram

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Frequency Histogram

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Relative Frequency Histogram

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Relative Frequency Histogram

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Frequency Polygon

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Frequency Polygon

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Ogive

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Ogive

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Section 2.2

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Stem-and-Leaf Plot 102 124 108 86 103 82 71 104 112 118 87 95 103 116 85 122 87 100 105 97 107 67 78 125 109 99 105 99 101 92

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Stem-and-Leaf Plot 6 | 7 | 8 | 9 | 10 | 11 | 12 |

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Stem-and-Leaf Plot 6 | 7 7 | 1 8 8 | 2 5 6 7 7 9 | 2 5 7 9 9 10 | 0 1 2 3 3 4 5 5 7 8 9 11 | 2 6 8 12 | 2 4 5

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Stem-and-Leaf with two lines per stem 6 | 7 7 | 1 7 | 8 8 | 2 8 | 5 6 7 7 9 | 2 9 | 5 7 9 9 10 | 0 1 2 3 3 4 10 | 5 5 7 8 9 11 | 2 11 | 6 8 12 | 2 4 12 | 5

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Dot Plot

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Pie Chart / Circle Graph Used to describe parts of a whole Central Angle for each segment

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Pie Chart

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Pareto Chart

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Scatter Plot

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Time Series Chart / Line Graph

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Section 2.3

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Measures of Central Tendency Mean: The sum of all data values divided by the number of values For a population: For a sample:

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An instructor recorded the average number of absences for his students in one semester. For a random sample the data are: An instructor recorded the average number of absences for his students in one semester. For a random sample the data are:

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Suppose the student with 40 absences is dropped from the course. Calculate the mean, median and mode of the remaining values. Compare the effect of the change to each type of average. Suppose the student with 40 absences is dropped from the course. Calculate the mean, median and mode of the remaining values. Compare the effect of the change to each type of average.

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Shapes of Distributions

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Section 2.4

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Two Data Sets

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Two Data Sets

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Measures of Variation

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Measures of Variation

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Population Variance

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Population Standard Deviation

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Sample Variance and Standard Deviation

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Interpreting Standard Deviation

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Summary

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Empirical Rule (68-95-99.7%) Data with symmetric bell-shaped distribution have the following characteristics.

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Using the Empirical Rule The mean value of homes on a certain street is $125,000 with a standard deviation of $5,000. The data set has a bell shaped distribution. Estimate the percent of homes between $120,000 and $135,000.

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Chebychev’s Theorem For any distribution regardless of shape the portion of data lying within k standard deviations (k > 1) of the mean is at least 1 – 1/k2.