Question

You are doing a survey of 100 people about where and when they like to travel. Of those who prefer to travel in the summer, 26 like to go to the ocean, 8 like to go to the mountains, and 28 like to go to the city. Of those who prefer to travel in the winter, 15 like to go to the ocean, 19 like to go to the mountains, and 4 like to go to the city. a) Which two-way frequency table accurately shows the data above? b) What is the total number of people who like to travel during the summer? (1 point) Responses a) Season Ocean Mountains City Total Summer 26 8 28 62 Winter 15 19 4 38 Total 41 27 32 100 b) 62 people like to travel during the summer a) Season Ocean Mountains City Total Summer 26 8 28 62 Winter 15 19 4 38 Total 41 27 32 100 b) 62 people like to travel during the summer a) Season Ocean Mountains City Total Summer 26 15 8 49 Winter 19 28 4 51 Total 45 43 12 100 b) 45 people like to travel during the summer a) Season Ocean Mountains City Total Summer 26 15 8 49 Winter 19 28 4 51 Total 45 43 12 100 b) 45 people like to travel during the summer a) Season Ocean Mountains City Total Summer 26 15 8 49 Winter 19 28 4 51 Total 45 43 12 100 b) 49 people like to travel during the summer a) Season Ocean Mountains City Total Summer 26 15 8 49 Winter 19 28 4 51 Total 45 43 12 100 b) 49 people like to travel during the summer a) Season Ocean Mountains City Total Summer 26 8 28 62 Winter 15 26 4 38 Total 41 27 32 100 b) 26 people like to travel during the summer a) Season Ocean Mountains City Total Summer 26 8 28 62 Winter 15 26 4 38 Total 41 27 32 100 b) 26 people like to travel during the summer

Answer 1

To analyze the data in the survey correctly, let's first summarize the given information about the preferences of the 100 people surveyed regarding travel destinations during summer and winter.

1. **Data Breakdown**:
- **Summer Travel Preferences**:
- Ocean: 26
- Mountains: 8
- City: 28
- **Winter Travel Preferences**:
- Ocean: 15
- Mountains: 19
- City: 4

Using this data, we can create a two-way frequency table to accurately reflect the preferences:

### a) Two-way frequency table

| Season | Ocean | Mountains | City | Total |
|--------|-------|-----------|------|-------|
| Summer | 26 | 8 | 28 | 62 |
| Winter | 15 | 19 | 4 | 38 |
| **Total** | **41** | **27** | **32** | **100** |

This table clearly presents the number of people who prefer each destination in both summer and winter, along with their respective totals.

### b) Total number of people who like to travel during the summer

From the table, the total number of people who prefer to travel during the summer is **62**.

### Final Answers:
a) The correct two-way frequency table is:

| Season | Ocean | Mountains | City | Total |
|--------|-------|-----------|------|-------|
| Summer | 26 | 8 | 28 | 62 |
| Winter | 15 | 19 | 4 | 38 |
| **Total** | **41** | **27** | **32** | **100** |

b) **62 people** like to travel during the summer.