THe table shows the annual compensation of 40 randomly chosen CEOS (millions of dollars). 5.04 1.87 26.32 9.06 12.44 6.18 15.32 194.14 17.45 25.86 2.83 4.96 8.25 14.94 70.98 17.89 1.80 3.03 23.22 4.02 9.20 9.28 8.21 6.41 1.95 0.62 3.87 26.78 37.79 13.62 18.97 23.51 5.71 4.41 3.68 10.82 7.49 4.76 1.66 3.16 picture Click here for the Excel Data File (a) Select the correct histogram for the above data. Histogram A Histogram B Histogram Histogram 35 40 40 35 30 35 30 25 30 20 25 20 10 Percent Percent Percent

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Describe the shape of the histogram.

1. Symmetric 2. Skewed to the right 3. Skewed to the left.

 

4. Identify any unusual values

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### Histogram Analysis

The image displays two histograms labeled Histogram B and Histogram C, each representing the distribution of a variable called "Compensation."

#### Histogram B:
- **X-axis (Compensation):** Ranges from 0 to 180.
- **Y-axis (Percent):** Goes up to 40%.
- **Distribution:** The data is highly skewed to the right. Most of the values are concentrated between 0 and 40, with the highest frequency occurring around the 10 mark. There is a significant drop after this range, with no data points from 40 to 180 except a small frequency at 180.

#### Histogram C:
- **X-axis (Compensation):** Also ranges from 0 to 180.
- **Y-axis (Percent):** Goes up to 35%.
- **Distribution:** Similar to Histogram B, this histogram is right-skewed. The majority of the data points lie between 0 and 60, with a peak around 20. There are sparse data points for values beyond 60, with minor frequencies at both ends of the axis.

Both histograms illustrate how compensation is distributed within these samples, providing insights into the skewness and concentration of data points.
Transcribed Image Text:### Histogram Analysis The image displays two histograms labeled Histogram B and Histogram C, each representing the distribution of a variable called "Compensation." #### Histogram B: - **X-axis (Compensation):** Ranges from 0 to 180. - **Y-axis (Percent):** Goes up to 40%. - **Distribution:** The data is highly skewed to the right. Most of the values are concentrated between 0 and 40, with the highest frequency occurring around the 10 mark. There is a significant drop after this range, with no data points from 40 to 180 except a small frequency at 180. #### Histogram C: - **X-axis (Compensation):** Also ranges from 0 to 180. - **Y-axis (Percent):** Goes up to 35%. - **Distribution:** Similar to Histogram B, this histogram is right-skewed. The majority of the data points lie between 0 and 60, with a peak around 20. There are sparse data points for values beyond 60, with minor frequencies at both ends of the axis. Both histograms illustrate how compensation is distributed within these samples, providing insights into the skewness and concentration of data points.
### CEO Compensation Data Analysis

The table below shows the annual compensation of 40 randomly chosen CEOs, displayed in millions of dollars:

```
5.04, 1.87, 26.32, 8.06, 12.44, 6.18, 2.83, 4.96
194.14, 17.45, 25.20, 8.25, 9.02, 14.51, 12.31, 18.74, 5.63, 2.11
70.98, 31.89, 23.27, 5.79, 5.92, 3.11, 16.12, 3.68
26.78, 13.62, 18.37, 5.71, 9.21, 10.41, 8.25, 3.87
37.79, 10.82, 23.51, 7.49, 8.21, 4.76, 1.66, 3.16
```

### Task

#### (a) Select the correct histogram for the above data.

Two histograms are presented to represent the distribution of the CEO compensation data:

- **Histogram A:** 
  - The distribution shows a majority of data points concentrated between 0 and 30 million dollars. There is a high frequency around this range, with the percentage peaking over 40% before declining sharply.

- **Histogram B:**
  - This layout also has a concentration of data points between 0 and 30 million dollars, but with a more gradual rise and multiple peaks. The highest frequency is just above 30% with slight variations across different ranges.

Both histograms display skewed distributions, indicating outliers or exceptionally high compensation values affecting the spread. The choice between Histogram A and B relies on which accurately reflects the distribution and percentage breakdown of the dataset provided.
Transcribed Image Text:### CEO Compensation Data Analysis The table below shows the annual compensation of 40 randomly chosen CEOs, displayed in millions of dollars: ``` 5.04, 1.87, 26.32, 8.06, 12.44, 6.18, 2.83, 4.96 194.14, 17.45, 25.20, 8.25, 9.02, 14.51, 12.31, 18.74, 5.63, 2.11 70.98, 31.89, 23.27, 5.79, 5.92, 3.11, 16.12, 3.68 26.78, 13.62, 18.37, 5.71, 9.21, 10.41, 8.25, 3.87 37.79, 10.82, 23.51, 7.49, 8.21, 4.76, 1.66, 3.16 ``` ### Task #### (a) Select the correct histogram for the above data. Two histograms are presented to represent the distribution of the CEO compensation data: - **Histogram A:** - The distribution shows a majority of data points concentrated between 0 and 30 million dollars. There is a high frequency around this range, with the percentage peaking over 40% before declining sharply. - **Histogram B:** - This layout also has a concentration of data points between 0 and 30 million dollars, but with a more gradual rise and multiple peaks. The highest frequency is just above 30% with slight variations across different ranges. Both histograms display skewed distributions, indicating outliers or exceptionally high compensation values affecting the spread. The choice between Histogram A and B relies on which accurately reflects the distribution and percentage breakdown of the dataset provided.
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