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.

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## 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."
Transcribed Image Text:## 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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