3 ## Analysis of Frequency Distribution: Temperature Data### Frequency Distribution Table| Temperature (°F) | Frequency ||------------------|-----------|| 50-54 | 1 || 55-59 | 0 || 60-64 | 5 || 65-69 | 15 || 70-74 | 9 || 75-79 | 7 || 80-84 | 1 |### Interpretation of the Data**Question:** Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?**Answer Options:**- **A.** Yes, all the requirements are met.- **B.** No, the distribution does not appear to be normal.- **C.** No, the frequencies do not decrease from the maximum frequency to a low frequency.**Correct Answer:** **C. No, the frequencies do not decrease from the maximum frequency to a low frequency.**### Explanation:In assessing whether this frequency distribution appears to follow a normal distribution, we can consider several characteristics typical of a normal distribution:- **Symmetry:** Normal distributions are symmetric around the mean.- **Unimodal:** Normal distributions have one peak.- **Tapering tails:** Frequencies should reduce gradually away from the mean.From the table provided:- The highest frequency (15) occurs in the temperature range of 65-69°F. - To either side of this peak, the frequencies generally decrease, but not consistently. E.g., the frequency for 70-74°F is lower (9), but the frequency for 75-79°F then increases slightly (7), before dropping again.Given these observations, the frequency distribution:- Does not strictly show a symmetric distribution around a central peak.- Does not consistently decrease in frequency from a maximum point to low frequencies.Thus, based on these criteria, the distribution does not strictly meet the requirements of being considered a normal distribution in a rigorous sense. Therefore, we select "C. No, the frequencies do not decrease from the maximum frequency to a low frequency."

Name: 3 ## Analysis of Frequency Distribution: Temperature Data### Frequency
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Description: 3 ## Analysis of Frequency Distribution: Temperature Data### Frequency Distribution Table| Temperature (°F) | Frequency ||------------------|-----------|| 50-54 | 1 || 55-59 | 0 || 60-64 | 5 ||

Given : Frequency distribution: Temperature frequency 50-54 1 55-59 0 60-64 5 65-69 15…

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Temperature (°F) 50-54 Frequency 55-59 normal distribution using a Does the frequency distribution appear to have strict interpretation of the relevant criteria? 60-64 65-69 70-74 75-79 80-84 Does the frequency distribution appear to have a normal distribution? O A. Yes, all the requirements are met. O B. No, the distribution does not appear to be normal. OC. No, the frequencies do not decrease from the maximum frequency to a low frequency.

Temperature (°F) 50-54 Frequency 55-59 normal distribution using a Does the frequency distribution appear to have strict interpretation of the relevant criteria? 60-64 65-69 70-74 75-79 80-84 Does the frequency distribution appear to have a normal distribution? O A. Yes, all the requirements are met. O B. No, the distribution does not appear to be normal. OC. No, the frequencies do not decrease from the maximum frequency to a low frequency.

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Topic Video

Question

## Analysis of Frequency Distribution: Temperature Data

### Frequency Distribution Table

| Temperature (°F) | Frequency |
|------------------|-----------|
| 50-54 | 1 |
| 55-59 | 0 |
| 60-64 | 5 |
| 65-69 | 15 |
| 70-74 | 9 |
| 75-79 | 7 |
| 80-84 | 1 |

### Interpretation of the Data
**Question:** Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?

**Answer Options:**
- **A.** Yes, all the requirements are met.
- **B.** No, the distribution does not appear to be normal.
- **C.** No, the frequencies do not decrease from the maximum frequency to a low frequency.

**Correct Answer:**
**C. No, the frequencies do not decrease from the maximum frequency to a low frequency.**

### Explanation:
In assessing whether this frequency distribution appears to follow a normal distribution, we can consider several characteristics typical of a normal distribution:
- **Symmetry:** Normal distributions are symmetric around the mean.
- **Unimodal:** Normal distributions have one peak.
- **Tapering tails:** Frequencies should reduce gradually away from the mean.

From the table provided:
- The highest frequency (15) occurs in the temperature range of 65-69°F.
- To either side of this peak, the frequencies generally decrease, but not consistently. E.g., the frequency for 70-74°F is lower (9), but the frequency for 75-79°F then increases slightly (7), before dropping again.

Given these observations, the frequency distribution:
- Does not strictly show a symmetric distribution around a central peak.
- Does not consistently decrease in frequency from a maximum point to low frequencies.

Thus, based on these criteria, the distribution does not strictly meet the requirements of being considered a normal distribution in a rigorous sense. Therefore, we select "C. No, the frequencies do not decrease from the maximum frequency to a low frequency."

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