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The geyser Old Faithful in Yellowstone National Park alternates periods of eruption, which typically last from 1.5 to 4 minutes, with periods of dormancy, which are considerably longer. The following table presents the durations, in minutes, of 30 dormancy periods that occurred during a recent year. 91 99 99 83 99 86 90 96 88 93 88 86 92 116 59 101 90 71 103 97 82 91 89 89 61 96 66 105 90 90

The geyser Old Faithful in Yellowstone National Park alternates periods of eruption, which typically last from 1.5 to 4 minutes, with periods of dormancy, which are considerably longer. The following table presents the durations, in minutes, of 30 dormancy periods that occurred during a recent year. 91 99 99 83 99 86 90 96 88 93 88 86 92 116 59 101 90 71 103 97 82 91 89 89 61 96 66 105 90 90

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 17PPS
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**Old Faithful Geyser Dormancy Periods Analysis** The geyser Old Faithful in Yellowstone National Park alternates periods of eruption, which typically last from 1.5 to 4 minutes, with periods of dormancy, which are considerably longer. The following table presents the durations, in minutes, of 30 dormancy periods that occurred during a recent year: | 91 | 99 | 99 | 83 | 99 | 86 | 90 | 96 | 88 | |-----|-----|-----|-----|-----|-----|-----|-----|----| | 93 | 88 | 86 | 92 | 116 | 59 | 101 | 90 | 71 | | 103 | 97 | 82 | 91 | 89 | 61 | 96 | 66 | 66 | | 105 | 90 | 90 | | | | | | | This dataset can be useful for analyzing the intervals between eruptions and understanding patterns in Old Faithful's activity. Educators and students can use this information for statistical analysis, graphing exercises, and exploring natural geothermal phenomena.
Transcribed Image Text:**Old Faithful Geyser Dormancy Periods Analysis** The geyser Old Faithful in Yellowstone National Park alternates periods of eruption, which typically last from 1.5 to 4 minutes, with periods of dormancy, which are considerably longer. The following table presents the durations, in minutes, of 30 dormancy periods that occurred during a recent year: | 91 | 99 | 99 | 83 | 99 | 86 | 90 | 96 | 88 | |-----|-----|-----|-----|-----|-----|-----|-----|----| | 93 | 88 | 86 | 92 | 116 | 59 | 101 | 90 | 71 | | 103 | 97 | 82 | 91 | 89 | 61 | 96 | 66 | 66 | | 105 | 90 | 90 | | | | | | | This dataset can be useful for analyzing the intervals between eruptions and understanding patterns in Old Faithful's activity. Educators and students can use this information for statistical analysis, graphing exercises, and exploring natural geothermal phenomena.
### Frequency Distribution Construction for Educational Purposes #### Task: Construct a frequency distribution using a class width of 5, and using 55 as the lower class limit for the first class. #### Columns and Content - **Dormancy Period**: This column represents the range of time periods (intervals) for which the frequency distribution needs to be constructed. - **Frequency**: This column indicates the number of observations that fall within each interval or class. This table is structured to facilitate the calculation of the frequency distribution with defined class widths and well-organized intervals. #### Table Format: | Dormancy Period | Frequency | |-----------------|-----------| | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | #### Instructions: - **Class Width**: The class width is defined as 5. - **Initial Class Limit**: Start the first class at 55. #### Steps: 1. **Identify the Lower Limit**: Begin with 55 as the lower limit of the first class. 2. **Increase by Class Width**: Add the class width (5) to the lower limit to get the upper limit of the first class. 3. **Repeat**: Continue this approach to create subsequent classes until all data is covered. For example: - **First Class**: 55-59 - **Second Class**: 60-64 - And so on. Each row should then be filled with the corresponding frequency data, representing the number of observations within each dormancy period interval. This structured approach helps in organizing data into a frequency distribution, which is fundamental for various statistical analyses and graphical representations, such as histograms.
Transcribed Image Text:### Frequency Distribution Construction for Educational Purposes #### Task: Construct a frequency distribution using a class width of 5, and using 55 as the lower class limit for the first class. #### Columns and Content - **Dormancy Period**: This column represents the range of time periods (intervals) for which the frequency distribution needs to be constructed. - **Frequency**: This column indicates the number of observations that fall within each interval or class. This table is structured to facilitate the calculation of the frequency distribution with defined class widths and well-organized intervals. #### Table Format: | Dormancy Period | Frequency | |-----------------|-----------| | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | | - | - | #### Instructions: - **Class Width**: The class width is defined as 5. - **Initial Class Limit**: Start the first class at 55. #### Steps: 1. **Identify the Lower Limit**: Begin with 55 as the lower limit of the first class. 2. **Increase by Class Width**: Add the class width (5) to the lower limit to get the upper limit of the first class. 3. **Repeat**: Continue this approach to create subsequent classes until all data is covered. For example: - **First Class**: 55-59 - **Second Class**: 60-64 - And so on. Each row should then be filled with the corresponding frequency data, representing the number of observations within each dormancy period interval. This structured approach helps in organizing data into a frequency distribution, which is fundamental for various statistical analyses and graphical representations, such as histograms.
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