A national survey asked people, "How often do you eat out for dinner, instead of at home?" The frequencies were as follows. Complete parts (a) through (h). (a) Construct a relative frequency distribution of the data. Relative Response Frequency Never Response Frequency Rarely Never 347 Sometimes Rarely 577 Most of the time Sometimes 927 Always Most of the time 283 (Round to three decimal places as needed.) Always 59 (b) What percentage of respondents answered "Always"? (Round to one decimal place as needed.) (c) What percentage of respondents answered "Never" or "Rarely"? % (Round to one decimal place as needed.) (d) Construct a frequency bar graph. Choose the correct answer below. A. 1000- 750- 500- 250- n. Frequency

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### Survey on Dining Habits

A national survey was conducted to find out how often people eat out for dinner instead of at home. The frequencies of responses are provided below. Complete the following parts (a) through (h).

#### Frequency Table

| Response         | Frequency |
|------------------|-----------|
| Never            | 347       |
| Rarely           | 577       |
| Sometimes        | 927       |
| Most of the time | 283       |
| Always           | 59        |

#### Tasks

(a) **Construct a relative frequency distribution of the data.**

- A table is provided with columns "Response" and "Relative Frequency."
- Responses include "Never," "Rarely," "Sometimes," "Most of the time," and "Always."
- Relative frequency values need to be calculated and rounded to three decimal places.

(b) **Calculate the percentage of respondents who answered "Always".**

- Requires computation and rounding to one decimal place.

(c) **Calculate the percentage of respondents who answered "Never" or "Rarely".**

- Requires computation and rounding to one decimal place.

(d) **Construct a frequency bar graph.**
  
- An option is provided to select a bar graph that correctly represents frequency data. 

In the image, there is a sample bar graph below the task description which illustrates the frequency of each response. The x-axis represents the different responses ("Never," "Rarely," "Sometimes," "Most of the time," "Always") while the y-axis represents frequency. Each bar's height corresponds to the frequency number of each response choice. 

#### Note

Complete each calculation as specified and round off your results to the required decimal places for accuracy in reporting statistical data.
Transcribed Image Text:### Survey on Dining Habits A national survey was conducted to find out how often people eat out for dinner instead of at home. The frequencies of responses are provided below. Complete the following parts (a) through (h). #### Frequency Table | Response | Frequency | |------------------|-----------| | Never | 347 | | Rarely | 577 | | Sometimes | 927 | | Most of the time | 283 | | Always | 59 | #### Tasks (a) **Construct a relative frequency distribution of the data.** - A table is provided with columns "Response" and "Relative Frequency." - Responses include "Never," "Rarely," "Sometimes," "Most of the time," and "Always." - Relative frequency values need to be calculated and rounded to three decimal places. (b) **Calculate the percentage of respondents who answered "Always".** - Requires computation and rounding to one decimal place. (c) **Calculate the percentage of respondents who answered "Never" or "Rarely".** - Requires computation and rounding to one decimal place. (d) **Construct a frequency bar graph.** - An option is provided to select a bar graph that correctly represents frequency data. In the image, there is a sample bar graph below the task description which illustrates the frequency of each response. The x-axis represents the different responses ("Never," "Rarely," "Sometimes," "Most of the time," "Always") while the y-axis represents frequency. Each bar's height corresponds to the frequency number of each response choice. #### Note Complete each calculation as specified and round off your results to the required decimal places for accuracy in reporting statistical data.
### Survey on Dining Out Habits

**Survey Question:**  
A national survey asked people, "How often do you eat out for dinner, instead of at home?" 

**Frequencies:**  
- **Never:** 347
- **Rarely:** 577
- **Sometimes:** 927
- **Most of the time:** 283
- **Always:** 59

---

### Graphical Representations

#### (e) Relative Frequency Bar Graph

You are provided with three options (A, B, C) for a relative frequency bar graph. Choose the correct graph, which plots the relative frequencies of responses:

- **N** (Never)
- **R** (Rarely)
- **S** (Sometimes)
- **M** (Most of the time)
- **A** (Always)

Each bar's height represents the relative frequency of the corresponding response.

#### (f) Pie Chart

Another task is to choose the correct pie chart from options (A, B, C, D) that accurately represents the distribution of responses:

- **N** (Never)
- **R** (Rarely)
- **S** (Sometimes)
- **M** (Most of the time)
- **A** (Always)

Each section of the pie chart reflects the proportion of the total number of responses for each category.

By analyzing the given data, correctly interpret the graphs and charts to reflect the dining out habits of the surveyed population.
Transcribed Image Text:### Survey on Dining Out Habits **Survey Question:** A national survey asked people, "How often do you eat out for dinner, instead of at home?" **Frequencies:** - **Never:** 347 - **Rarely:** 577 - **Sometimes:** 927 - **Most of the time:** 283 - **Always:** 59 --- ### Graphical Representations #### (e) Relative Frequency Bar Graph You are provided with three options (A, B, C) for a relative frequency bar graph. Choose the correct graph, which plots the relative frequencies of responses: - **N** (Never) - **R** (Rarely) - **S** (Sometimes) - **M** (Most of the time) - **A** (Always) Each bar's height represents the relative frequency of the corresponding response. #### (f) Pie Chart Another task is to choose the correct pie chart from options (A, B, C, D) that accurately represents the distribution of responses: - **N** (Never) - **R** (Rarely) - **S** (Sometimes) - **M** (Most of the time) - **A** (Always) Each section of the pie chart reflects the proportion of the total number of responses for each category. By analyzing the given data, correctly interpret the graphs and charts to reflect the dining out habits of the surveyed population.
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