The table shows the annual compensation of 40 randomly chosen CEOS (millions of dollars). 5.16 193.53 1.96 26.34 18.73 9.74 14.68 69.53 25.84 6.54 8.25 5.36 18.54 13.14 2.48 5.03 22.24 22.48 18.93 15.01 9.97 .96 6.75 33.06 13.65 19.42 4.89 6.52 1.67 22.87 9.30 3.89 5.86 6.75 0.72 1.32 A Click here for the Excel Data File 8.39 4.74 2.46 2.66 (a) Select the correct histogram for the above data. Histogram A Histogram Histogram B 35 Histogram C Histogram 30 40 Histogram 25 35 35 三 20 30 30 25 a 15 25 20 10 20 15 5. 15 10 10 140 160 180 80 Compensation 140 160 80 180 Compensation 160 180 Compensation O Histogram A O Histogram B O Histogram C (b) Describe the shape of the histogram. O The distribution is skewed to the left. O The distribution is skewed to the right. O The distribution is symmetric. 100 120 Percent 100 120 Percent 100 120 140

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The table shows the annual compensation of 40 randomly chosen CEOs (millions of dollars):

5.16, 1.96, 26.34, 9.74, 14.63, 6.54, 2.48, 5.03  
193.53, 18.73, 25.84, 8.25, 13.14, 3.19, 1.96, 6.75  
69.35, 18.54, 22.48, 8.96, 19.17, 1.67, 5.86  
22.44, 13.43, 22.84, 6.25, 11.81, 8.72, 2.46  
33.06, 13.65, 22.87, 6.75, 8.39, 7.74, 1.32, 2.66  

[Click here for the Excel Data File]

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

**Histogram A**  
- The histogram displays the frequency of CEO compensation in various ranges. The x-axis represents the compensation (in millions of dollars) and the y-axis shows the percentage of each compensation range.
- The distribution appears to have a peak at the lower compensation ranges, with a few data points in the higher ranges indicating outliers.

**Histogram B**  
- Similar to Histogram A, but with a more pronounced peak in the lower compensation range.
- The x-axis represents compensation in millions, and the y-axis represents the percentage. There are few to no values at high compensation levels, showing a skew.

**Histogram C**  
- Exhibits a pattern similar to A and B, with the majority of data clustered in lower compensation brackets.
- The x-axis represents compensation in millions, and the y-axis shows the percentage. It contains noticeable outliers at high compensation values.

(b) Describe the shape of the histogram.

- The distribution is skewed to the left.
- The distribution is skewed to the right.
- The distribution is symmetric.

(Note: The shape selection and histogram identification depend on visual analysis and the characteristics of skewness based on the given data.)
Transcribed Image Text:The table shows the annual compensation of 40 randomly chosen CEOs (millions of dollars): 5.16, 1.96, 26.34, 9.74, 14.63, 6.54, 2.48, 5.03 193.53, 18.73, 25.84, 8.25, 13.14, 3.19, 1.96, 6.75 69.35, 18.54, 22.48, 8.96, 19.17, 1.67, 5.86 22.44, 13.43, 22.84, 6.25, 11.81, 8.72, 2.46 33.06, 13.65, 22.87, 6.75, 8.39, 7.74, 1.32, 2.66 [Click here for the Excel Data File] (a) Select the correct histogram for the above data. **Histogram A** - The histogram displays the frequency of CEO compensation in various ranges. The x-axis represents the compensation (in millions of dollars) and the y-axis shows the percentage of each compensation range. - The distribution appears to have a peak at the lower compensation ranges, with a few data points in the higher ranges indicating outliers. **Histogram B** - Similar to Histogram A, but with a more pronounced peak in the lower compensation range. - The x-axis represents compensation in millions, and the y-axis represents the percentage. There are few to no values at high compensation levels, showing a skew. **Histogram C** - Exhibits a pattern similar to A and B, with the majority of data clustered in lower compensation brackets. - The x-axis represents compensation in millions, and the y-axis shows the percentage. It contains noticeable outliers at high compensation values. (b) Describe the shape of the histogram. - The distribution is skewed to the left. - The distribution is skewed to the right. - The distribution is symmetric. (Note: The shape selection and histogram identification depend on visual analysis and the characteristics of skewness based on the given data.)
### Educational Website Content

#### Histograms Analysis

The image presents three histograms labeled as A, B, and C. Each histogram depicts the distribution of compensation amounts. The x-axis represents the compensation values ranging from 0 to 180, and the y-axis shows the percentage frequency of occurrences.

- **Histogram A**: The distribution is shown with a concentration on lower compensation values (0-20) with a few values peaking again at the higher end (around 160-180). 

- **Histogram B**: Similar to Histogram A, this plot also displays a concentration of compensation values heavily skewed towards the lower end (0-20) with some higher values around 160-180.

- **Histogram C**: This chart mirrors those seen in A and B, with a predominantly low compensation range and outliers in the higher ranges.

#### Questions and Tasks:

**(b) Describe the shape of the histogram.**

- The distribution is skewed to the left.
- The distribution is skewed to the right.
- The distribution is symmetric.

**(c) Identify any unusual values. (Round your answers to 2 decimal places.)**

A table is provided for entering the unusual values identified from the histograms, with spaces labeled for values in millions.

#### Observations:

The histograms suggest a right-skewed distribution, as larger frequencies are observed at smaller compensation values with long tails extending towards the higher values. The presence of potential outliers at the higher end should be noted.
Transcribed Image Text:### Educational Website Content #### Histograms Analysis The image presents three histograms labeled as A, B, and C. Each histogram depicts the distribution of compensation amounts. The x-axis represents the compensation values ranging from 0 to 180, and the y-axis shows the percentage frequency of occurrences. - **Histogram A**: The distribution is shown with a concentration on lower compensation values (0-20) with a few values peaking again at the higher end (around 160-180). - **Histogram B**: Similar to Histogram A, this plot also displays a concentration of compensation values heavily skewed towards the lower end (0-20) with some higher values around 160-180. - **Histogram C**: This chart mirrors those seen in A and B, with a predominantly low compensation range and outliers in the higher ranges. #### Questions and Tasks: **(b) Describe the shape of the histogram.** - The distribution is skewed to the left. - The distribution is skewed to the right. - The distribution is symmetric. **(c) Identify any unusual values. (Round your answers to 2 decimal places.)** A table is provided for entering the unusual values identified from the histograms, with spaces labeled for values in millions. #### Observations: The histograms suggest a right-skewed distribution, as larger frequencies are observed at smaller compensation values with long tails extending towards the higher values. The presence of potential outliers at the higher end should be noted.
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