🗊Презентация Descriptive statistics. Frequency distributions and their graphs. (Section 2.1)

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Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №1Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №2Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №3Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №4Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №5Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №6Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №7Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №8Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №9Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №10Descriptive statistics. Frequency distributions and their graphs. 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Слайды и текст этой презентации

Слайд 1


Descriptive Statistics
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Descriptive Statistics

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Section 2.1
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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 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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Frequency Distributions
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Frequency Distributions

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Construct a Frequency Distribution
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Construct a Frequency Distribution

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Other Information
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Other Information

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Frequency Histogram
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Frequency Histogram

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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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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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Frequency Polygon
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Frequency Polygon

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Ogive
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Ogive

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Ogive
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Ogive

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Section 2.2
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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 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 | 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 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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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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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 / Circle Graph Used to describe parts of a whole Central Angle for each segment

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Pie Chart
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Pie Chart

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Pareto Chart
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Pareto Chart

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Scatter Plot
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Scatter Plot

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Time Series Chart / Line Graph
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Time Series Chart / Line Graph

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Section 2.3
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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:
Описание слайда:
Measures of Central Tendency Mean: The sum of all data values divided by the number of values For a population: For a sample:

Слайд 29


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:
Описание слайда:
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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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:
Описание слайда:
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.
Описание слайда:
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.

Слайд 32


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.
Описание слайда:
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.

Слайд 33


Shapes of Distributions
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Shapes of Distributions

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Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №34
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Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №35
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Слайд 36


Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №36
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Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №37
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Section 2.4
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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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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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Measures of Variation
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Measures of Variation

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Descriptive statistics. Frequency distributions and their graphs. (Section 2.1), слайд №43
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Population Variance
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Population Variance

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Population Standard Deviation
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Population Standard Deviation

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Sample Variance and Standard Deviation
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Sample Variance and Standard Deviation

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Interpreting Standard Deviation
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Interpreting Standard Deviation

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

Слайд 50


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.
Описание слайда:
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.

Слайд 51


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.
Описание слайда:
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.

Слайд 52


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.
Описание слайда:
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.

Слайд 53


Chebychev’s Theorem
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Chebychev’s Theorem

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Chebychev’s Theorem
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Chebychev’s Theorem

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Standard Deviation of Grouped Data
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Standard Deviation of Grouped Data

Слайд 56


Estimates with Classes
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Estimates with Classes

Слайд 57


Section 2.5
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Section 2.5

Слайд 58


Quartiles
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Quartiles

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Quartiles
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Quartiles

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Finding Quartiles
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Finding Quartiles

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Interquartile Range (IQR)
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Interquartile Range (IQR)

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Box and Whisker Plot
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Box and Whisker Plot

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Percentiles
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Percentiles

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Percentiles
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Percentiles

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Standard Scores
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Standard Scores

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Standard Scores
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Standard Scores

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Calculations of z-Scores
Описание слайда:
Calculations of z-Scores

Слайд 68


Standard Scores
Описание слайда:
Standard Scores

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