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Let's analyze and solve the questions based on the provided salary dataLet's analyze and solve the questions based on the provided salary 

### Given Salaries:
- 272500
- 74235
- 98837
- 73877
- 64553
- 52718
- 76029
- 73877
- 65270
- 66346

### a. For the data shown above, find the following:

1. **Find the mean**:
   The mean is the sum of all values divided by the number of values.
   
   \[
   \text{Mean} = \frac{\text{Sum of all salaries}}{\text{Number of salaries}}
   \]

2. **Find the median**:
   The median is the middle value when the data is arranged in ascending order. If there is an even number of observations, the median is the average of the two middle values.

3. **Find the mode**:
   The mode is the value that appears most frequently in the data set.

### b. Remove the high CEO salary of 272500 and recompute the statistics:

1. **New Mean** (without 272500).
2. **New Median**.
3. **New Mode**.

### c. Which of the statistics (median, mode, mean) was most affected by removing the high CEO salary from the data?

---

I will now calculate these values.### a. For the data shown above:

1. **Mean**:  
   \[
   \text{Mean} = 91824.20
   \]
2. **Median**:  
   \[
   \text{Median} = 73877.00
   \]
3. **Mode**:  
   \[
   \text{Mode} = 73877
   \]

### b. After removing the high CEO salary (272500):

1. **New Mean**:  
   \[
   \text{New Mean} = 71749.11
   \]
2. **New Median**:  
   \[
   \text{New Median} = 73877.00
   \]
3. **New Mode**:  
   \[
   \text{New Mode} = 73877
   \]

### c. The **mean** was most affected by removing the high CEO salary, as it decreased significantly compared to the median and mode, which remained the same.

---

Would you like further details or explanations on any part of this?

#### Follow-up Questions:
1. What is the impact of extreme values on the mean compared to the median?
2. Why does the mode not change even when we remove the highest value?
3. How would the results change if we added more extreme values?
4. What happens if there are multiple modes in the data set?
5. Can the median ever be higher than the mean?

#### Tip:
When there are outliers in a data set, the median is often a better measure of central tendency than the mean.

A random sample of Print-O-Matic printing company’s employee salaries is provided, and the following are required: (a) Find the mean, median, and mode of the salaries. (b) Recalculate these statistics after removing the CEO's salary. (c) Determine which statistic is most affected by the removal of the outlier.

This problem involves calculating the mean, median, and mode for a set of employee salaries, and determining the impact of removing an outlier (the CEO's salary). Learn how the mean is most affected by extreme values.

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