ata was collected for 180 randomly selected 10 minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below. Number of Guests Frequency 60 - 69 17 70 - 79 80-89 90 - 99 38 100-109 55 What is the class width for this GFDT? 42 28
ata was collected for 180 randomly selected 10 minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below. Number of Guests Frequency 60 - 69 17 70 - 79 80-89 90 - 99 38 100-109 55 What is the class width for this GFDT? 42 28
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Transcribed Image Text:### Data on Entrances to Mall Atrium
Data was collected for 180 randomly selected 10-minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below:
| Number of Guests | Frequency |
|------------------|-----------|
| 60 - 69 | 17 |
| 70 - 79 | 42 |
| 80 - 89 | 28 |
| 90 - 99 | 38 |
| 100 - 109 | 55 |
#### Interpreting the Table
The table above shows the number of guests entering the mall atrium grouped into different ranges (classes) of guests and their corresponding frequencies.
1. **Class 60-69:** There were 17 intervals where the number of guests entering the atrium was between 60 and 69.
2. **Class 70-79:** There were 42 intervals where the number of guests entering the atrium was between 70 and 79.
3. **Class 80-89:** There were 28 intervals where the number of guests entering the atrium was between 80 and 89.
4. **Class 90-99:** There were 38 intervals where the number of guests entering the atrium was between 90 and 99.
5. **Class 100-109:** There were 55 intervals where the number of guests entering the atrium was between 100 and 109.
#### Understanding Class Width
**What is the class width for this GFDT?**
Class width is the difference between the upper limit of a class and the lower limit of the same class. In this case:
- The class width = \(109 \, \text{(or upper limit of last class)} - 60 \, \text{(or lower limit of first class)} = 10\)
Therefore, the class width for this GFDT (Grouped Frequency Distribution Table) is **10**.
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