A manufacturer of aluminum cans measured the level of impurities in 24 cans. The amounts of impurities, in percent, were as follows. 9.4 1.4 4.6 5.6 5.1 2.8 4.1 3.4 6.8 4.1 1.8 4.2 4.3 2.2 4.8 5.0 3.8 5.3 1.2 6.2 4.1 2.4 2.9 3.4 part 2. can or cannot for second bar.

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A manufacturer of aluminum cans measured the level of impurities in

24 cans. The amounts of impurities, in percent, were as follows.

 

9.4
1.4
4.6
5.6
5.1
2.8
4.1
3.4
6.8
4.1
1.8
4.2
4.3
2.2
4.8
5.0
3.8
5.3
1.2
6.2
4.1
2.4
2.9
3.4

 

 

 

part 2. can or cannot for second bar. 

### Educational Exercise: Analyzing Histograms

#### Task
Choose the correct histogram for the given sample data on impurities.

#### Histograms Overview
Each histogram represents the distribution of impurity percentages. The horizontal axis quantifies impurity percentages ranging from 0.5 to 9.5, while the vertical axis represents relative frequency.

#### Histogram Details:

**Histogram A:**
- **Distribution:** Bimodal
- **Peaks:** Around 2.5 and 7.5 percent
- **Relative Frequency:** 
  - Highest close to 2.5 and 7.5.
  - Lower frequencies between peaks and on the extremes.

**Histogram B (Selected):**
- **Type:** Unimodal
- **Peak:** Around 3.5 percent
- **Relative Frequency:** 
  - Gradually increases to a peak at 3.5.
  - Decreases steadily after the peak.

**Histogram C:**
- **Distribution:** Bimodal
- **Peaks:** Around 3 and 7 percent
- **Relative Frequency:** 
  - Highest at 3 and 7.
  - Lower frequencies interspersed between peaks.

**Histogram D:**
- **Type:** Unimodal
- **Peak:** Around 4.5 percent
- **Relative Frequency:** 
  - Peaks at 4.5.
  - Decreases sharply afterward.

#### Conclusion:
Analyze each graph carefully to determine which histogram best represents the sample data. For this exercise, Histogram B is the correct choice, as indicated by the highlighted option.
Transcribed Image Text:### Educational Exercise: Analyzing Histograms #### Task Choose the correct histogram for the given sample data on impurities. #### Histograms Overview Each histogram represents the distribution of impurity percentages. The horizontal axis quantifies impurity percentages ranging from 0.5 to 9.5, while the vertical axis represents relative frequency. #### Histogram Details: **Histogram A:** - **Distribution:** Bimodal - **Peaks:** Around 2.5 and 7.5 percent - **Relative Frequency:** - Highest close to 2.5 and 7.5. - Lower frequencies between peaks and on the extremes. **Histogram B (Selected):** - **Type:** Unimodal - **Peak:** Around 3.5 percent - **Relative Frequency:** - Gradually increases to a peak at 3.5. - Decreases steadily after the peak. **Histogram C:** - **Distribution:** Bimodal - **Peaks:** Around 3 and 7 percent - **Relative Frequency:** - Highest at 3 and 7. - Lower frequencies interspersed between peaks. **Histogram D:** - **Type:** Unimodal - **Peak:** Around 4.5 percent - **Relative Frequency:** - Peaks at 4.5. - Decreases sharply afterward. #### Conclusion: Analyze each graph carefully to determine which histogram best represents the sample data. For this exercise, Histogram B is the correct choice, as indicated by the highlighted option.
**Part 2 of 2**

**Explain how the histogram shows whether it is appropriate to treat this sample as coming from an approximately normal population.**

The histogram reveals [an outlier ▼]. Therefore, we [Choose one ▼] treat this as a sample from an approximately normal population.

**Dropdown Options:**

1. an outlier
2. a large degree of skewness
3. more than one distinct mode
4. none of these features

**Second Dropdown:**

1. Choose one

This section aims to guide the learner in analyzing a histogram to determine if a data sample can be considered as coming from a normally distributed population. By using dropdown options, students can select features observed in the histogram that might affect normality, and then decide whether these features justify treating the data as normally distributed.
Transcribed Image Text:**Part 2 of 2** **Explain how the histogram shows whether it is appropriate to treat this sample as coming from an approximately normal population.** The histogram reveals [an outlier ▼]. Therefore, we [Choose one ▼] treat this as a sample from an approximately normal population. **Dropdown Options:** 1. an outlier 2. a large degree of skewness 3. more than one distinct mode 4. none of these features **Second Dropdown:** 1. Choose one This section aims to guide the learner in analyzing a histogram to determine if a data sample can be considered as coming from a normally distributed population. By using dropdown options, students can select features observed in the histogram that might affect normality, and then decide whether these features justify treating the data as normally distributed.
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