-) For his research project, Average or smaller shoe Larger than average shoe size Clemens collected data rom 200 andomly-selected people nd started the two-way elow, but he has nisplaced his data. Help Totals size Average or below income 36 Above average income 105 Totals 120

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**Research Project Data Analysis**

For his research project, Clemens collected data from 200 randomly-selected people and started the construction of a two-way table. Unfortunately, Clemens has misplaced some of his data. Below is the partially completed table that Clemens has initiated:

|                          | Average or Smaller Shoe Size | Larger than Average Shoe Size | Totals  |
|--------------------------|------------------------------|------------------------------|---------|
| Average or Below Income  | 36                           |                              |         |
| Above Average Income     |                              |                              | 105     |
| Totals                   | 120                          |                              |         |

Chris, complete the two-way table, justifying your entries.

### Explanation for Completing the Table

1. **Determining the total number of people with larger than average shoe size:**
   - Total number of people surveyed: 200
   - Total number of people with average or smaller shoe size: 120
   - Therefore, total number of people with larger than average shoe size = 200 - 120 = 80

2. **Filling in the total for people with average or below income and larger than average shoe size:**
   - Total number of people with above average income: 105
   - Total number of people with average or below income = 200 - 105 = 95
   - Therefore, number of people with average or below income and larger than average shoe size = 95 (total) - 36 (with average or smaller shoe size) = 59

3. **Completing the final row and column for totals:**
   - Total number of people with larger than average shoe size: 80
   - Therefore, the number of people with above average income and larger than average shoe size = 80 (total) - 59 (average or below income) = 21
   - Number of people with above average income and average or smaller shoe size = 105 - 21 = 84

Final Completed Table:

|                           | Average or Smaller Shoe Size | Larger than Average Shoe Size | Totals  |
|---------------------------|------------------------------|------------------------------|---------|
| Average or Below Income   | 36                           | 59                           | 95      |
| Above Average Income      | 84                           | 21                           | 105     |
| Totals                    | 120                          | 80                           | 200     |

**Justification:**
-
Transcribed Image Text:**Research Project Data Analysis** For his research project, Clemens collected data from 200 randomly-selected people and started the construction of a two-way table. Unfortunately, Clemens has misplaced some of his data. Below is the partially completed table that Clemens has initiated: | | Average or Smaller Shoe Size | Larger than Average Shoe Size | Totals | |--------------------------|------------------------------|------------------------------|---------| | Average or Below Income | 36 | | | | Above Average Income | | | 105 | | Totals | 120 | | | Chris, complete the two-way table, justifying your entries. ### Explanation for Completing the Table 1. **Determining the total number of people with larger than average shoe size:** - Total number of people surveyed: 200 - Total number of people with average or smaller shoe size: 120 - Therefore, total number of people with larger than average shoe size = 200 - 120 = 80 2. **Filling in the total for people with average or below income and larger than average shoe size:** - Total number of people with above average income: 105 - Total number of people with average or below income = 200 - 105 = 95 - Therefore, number of people with average or below income and larger than average shoe size = 95 (total) - 36 (with average or smaller shoe size) = 59 3. **Completing the final row and column for totals:** - Total number of people with larger than average shoe size: 80 - Therefore, the number of people with above average income and larger than average shoe size = 80 (total) - 59 (average or below income) = 21 - Number of people with above average income and average or smaller shoe size = 105 - 21 = 84 Final Completed Table: | | Average or Smaller Shoe Size | Larger than Average Shoe Size | Totals | |---------------------------|------------------------------|------------------------------|---------| | Average or Below Income | 36 | 59 | 95 | | Above Average Income | 84 | 21 | 105 | | Totals | 120 | 80 | 200 | **Justification:** -
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