Which of the following best discribes the relationship between the computed mean and the actual mean? O A. The computed mean is not close to the actual mean because the difference between the means is less than 5%. B. The computed mean is close to the actual mean because the difference between the means is less than 5%. C. The computed mean is not close to the actual mean because the difference between the means is more than 5%. O D. The computed mean is close to the actual mean because the difference between the means is more than 5%.

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I need help with the "which of the following" portion of the question! thank you

### Frequency Distribution and Mean Calculation

#### Problem Statement:
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.1 miles per hour.

#### Frequency Distribution Data:
| Speed (miles per hour) |  42 – 45  |  46 – 49  |  50 – 53  |  54 – 57  |  58 – 61  |
|------------------------|-----------|-----------|-----------|-----------|-----------|
| Frequency              |    29     |    13     |     7     |     3     |     2     |

#### Calculated Mean:
The mean of the frequency distribution is **46.8 miles per hour**.
*(Round to the nearest tenth as needed)*

#### Multiple Choice Question:
Which of the following best describes the relationship between the computed mean and the actual mean?

A. The computed mean is not close to the actual mean because the difference between the means is less than 5%.

B. The computed mean is close to the actual mean because the difference between the means is less than 5%.

C. The computed mean is not close to the actual mean because the difference between the means is more than 5%.

D. The computed mean is close to the actual mean because the difference between the means is more than 5%.

#### Explanation of Diagrams:
- **Frequency Distribution Table:** The table displays different speed intervals (in miles per hour) and the corresponding frequencies for each interval.
- **Computed Mean Statement:** The computed mean (46.8 miles per hour) is compared to the actual mean (47.1 miles per hour).

#### Correct Answer:
C. The computed mean is not close to the actual mean because the difference between the means is more than 5%.

This indicates that the difference between 46.8 miles per hour (computed mean) and 47.1 miles per hour (actual mean) is significant, being more than 5%.
Transcribed Image Text:### Frequency Distribution and Mean Calculation #### Problem Statement: Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.1 miles per hour. #### Frequency Distribution Data: | Speed (miles per hour) | 42 – 45 | 46 – 49 | 50 – 53 | 54 – 57 | 58 – 61 | |------------------------|-----------|-----------|-----------|-----------|-----------| | Frequency | 29 | 13 | 7 | 3 | 2 | #### Calculated Mean: The mean of the frequency distribution is **46.8 miles per hour**. *(Round to the nearest tenth as needed)* #### Multiple Choice Question: Which of the following best describes the relationship between the computed mean and the actual mean? A. The computed mean is not close to the actual mean because the difference between the means is less than 5%. B. The computed mean is close to the actual mean because the difference between the means is less than 5%. C. The computed mean is not close to the actual mean because the difference between the means is more than 5%. D. The computed mean is close to the actual mean because the difference between the means is more than 5%. #### Explanation of Diagrams: - **Frequency Distribution Table:** The table displays different speed intervals (in miles per hour) and the corresponding frequencies for each interval. - **Computed Mean Statement:** The computed mean (46.8 miles per hour) is compared to the actual mean (47.1 miles per hour). #### Correct Answer: C. The computed mean is not close to the actual mean because the difference between the means is more than 5%. This indicates that the difference between 46.8 miles per hour (computed mean) and 47.1 miles per hour (actual mean) is significant, being more than 5%.
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