The table below shows the frequency distribution of the weights (in grams) of pre-1964 quarters. Choose the correct histogram below. Weight (g) 6.000-6.049 Frequency OA. o 20 15- 10- 3 6.050-6.099 6.100-6.149 6.150-6.199 8 12 6.200-6.249 10 6.1 6.2 6.3 64 6.250-6.299 Weight (grams) 6 6.300-6.349 3 OB. 6.350-6.399 1 Use the frequency distribution to construct a histogram. Does the histogram appear to depict data that have a normal distribution? Why or why not? 6.1 6.2 6.3 Weight (grams) 6.4 Oc. 15 6.1 62 6.3 Weight (grams) Does the histogram appear to depict data that have a normal distribution? O A. The histogram does not appear to depict a normal distribution. The frequencies generally increase and the histogram is roughly symmetric. O B. The histogram does not appear to depict a normal distribution. The frequencies generally decrease to a minimum and then increase, and the histogram is roughly symmetric. OC. The histogram appears to depict a normal distribution. The frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric. O D. The histogram appears to depict a normal distribution. The frequencies generally decrease to a minimum and then increase.

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### Frequency Distribution and Histogram Analysis of Pre-1964 Quarters

#### Frequency Distribution Table

The table below illustrates the frequency distribution of the weights (in grams) of pre-1964 quarters.

| **Weight (g)** | **Frequency** |
|----------------|---------------|
| 6.000-6.049    | 3             |
| 6.050-6.099    | 3             |
| 6.100-6.149    | 8             |
| 6.150-6.199    | 12            |
| 6.200-6.249    | 10            |
| 6.250-6.299    | 6             |
| 6.300-6.349    | 3             |
| 6.350-6.399    | 1             |

#### Task
Use the frequency distribution provided to construct a histogram. Evaluate whether the histogram suggests a normal distribution of data, providing an explanation for the conclusion.

#### Multiple Choice Question
Choose the correct histogram below:

- **Option A:**
  ![Option A](https://via.placeholder.com/100) 
- **Option B:**
  ![Option B](https://via.placeholder.com/100) 
- **Option C:**
  ![Option C](https://via.placeholder.com/100) 
- **Option D:**
  ![Option D](https://via.placeholder.com/100) 

#### Analysis
Does the histogram appear to depict data that have a normal distribution?

- **Option A:**
  - The histogram does not appear to depict a normal distribution. The frequencies generally increase and the histogram is roughly symmetric.
- **Option B:**
  - The histogram does not appear to depict a normal distribution. The frequencies generally decrease to a minimum and then increase, and the histogram is roughly symmetric.
- **Option C:**
  - The histogram appears to depict a normal distribution. The frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric.
- **Option D:**
  - The histogram appears to depict a normal distribution. The frequencies generally decrease to a minimum and then increase.

#### Explanation of the Histograms
- **Option A:** Shows a nearly symmetric distribution, but with increases and decreases over the range.
- **Option B:** Exhibits a 'U' shape distribution, indicating that frequencies first decrease to a minimum and then increase
Transcribed Image Text:### Frequency Distribution and Histogram Analysis of Pre-1964 Quarters #### Frequency Distribution Table The table below illustrates the frequency distribution of the weights (in grams) of pre-1964 quarters. | **Weight (g)** | **Frequency** | |----------------|---------------| | 6.000-6.049 | 3 | | 6.050-6.099 | 3 | | 6.100-6.149 | 8 | | 6.150-6.199 | 12 | | 6.200-6.249 | 10 | | 6.250-6.299 | 6 | | 6.300-6.349 | 3 | | 6.350-6.399 | 1 | #### Task Use the frequency distribution provided to construct a histogram. Evaluate whether the histogram suggests a normal distribution of data, providing an explanation for the conclusion. #### Multiple Choice Question Choose the correct histogram below: - **Option A:** ![Option A](https://via.placeholder.com/100) - **Option B:** ![Option B](https://via.placeholder.com/100) - **Option C:** ![Option C](https://via.placeholder.com/100) - **Option D:** ![Option D](https://via.placeholder.com/100) #### Analysis Does the histogram appear to depict data that have a normal distribution? - **Option A:** - The histogram does not appear to depict a normal distribution. The frequencies generally increase and the histogram is roughly symmetric. - **Option B:** - The histogram does not appear to depict a normal distribution. The frequencies generally decrease to a minimum and then increase, and the histogram is roughly symmetric. - **Option C:** - The histogram appears to depict a normal distribution. The frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric. - **Option D:** - The histogram appears to depict a normal distribution. The frequencies generally decrease to a minimum and then increase. #### Explanation of the Histograms - **Option A:** Shows a nearly symmetric distribution, but with increases and decreases over the range. - **Option B:** Exhibits a 'U' shape distribution, indicating that frequencies first decrease to a minimum and then increase
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