The accompanying data set lists the​ F-scale intensities of recent tornadoes in the United States. Construct a frequency distribution. Do the intensities appear to have a normal​ distribution? Assume that the intensities are quantitative.
LOADING... Click the icon to view the​ F-scale intensities.
Question content area bottom
Part 1
Complete the frequency distribution.
​F-Scale Intensity
Frequency
0
  
21
  
1
  
15
  
2
  
2
  
3
  
1
  
4
  
1
​(Type whole​ numbers.)
Part 2
Do the intensities appear to have a normal​ distribution?
A.
​No, because while the frequencies start​ low, proceed to one or two high​ frequencies, then decrease to a low​ frequency, the distribution is not symmetric.
B.
​No, because the frequencies start at a maximum and become​ low, and because the distribution is not symmetric.
C.
​Yes, because the frequencies start​ low, proceed to one or two high​ frequencies, then decrease to a low​ frequency, and the distribution is approximately symmetric.
D.
​No, because while the distribution is approximately​ symmetric, the frequencies start at a maximum and become low.


### Part 1: Frequency Distribution

Given the data, here is the frequency distribution for the F-scale intensities:

| F-Scale Intensity | Frequency |
|-------------------|-----------|
| 0                 | 21        |
| 1                 | 15        |
| 2                 | 2         |
| 3                 | 1         |
| 4                 | 1         |

### Part 2: Determining if the Distribution is Normal

In order to determine if the intensities follow a normal distribution, we look at whether the data is symmetric around the mean and if it has a bell-shaped curve (with frequencies rising to a peak and then falling symmetrically).

- The frequencies start high (21 at intensity 0) and then drop off quickly as the intensity increases (15, 2, 1, 1).
- The distribution is not symmetric, as most tornadoes have lower intensities, and the frequency decreases quickly.

Therefore, the correct answer is:
**B.** No, because the frequencies start at a maximum and become low, and because the distribution is not symmetric.

---

### Follow-up Questions:

1. What does a normal distribution typically look like in terms of symmetry and shape?
2. How do you calculate the mean of a frequency distribution?
3. What other statistical tests could help determine if a dataset is normally distributed?
4. How can the F-scale intensities of tornadoes affect the interpretation of the data?
5. What methods can be used to visualize this frequency distribution better?

**Tip:** When analyzing distributions, always consider both the shape and symmetry of the data to determine normality.

The accompanying data set lists the​ F-scale intensities of recent tornadoes in the United States. Construct a frequency distribution. Do the intensities appear to have a normal​ distribution? Assume that the intensities are quantitative.

Analyze the frequency distribution of tornado F-scale intensities and determine if the data follows a normal distribution. This problem focuses on statistics, covering key concepts such as frequency distribution and normality checks, with data on tornado intensities in the United States. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation