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The data set provided represents the number of cans collected by different classes:  
\[ 12, 14, 22, 14, 18, 23, 42, 13, 9, 19, 22, 14 \]

### a. **Finding the Mean**:
To find the mean, sum all the values and divide by the total number of values.

### b. **Finding the Median**:
To find the median, first arrange the data in ascending order, then find the middle value (or the average of the two middle values if the data set has an even number of items).

### c. **Eliminate the Greatest Value (42)**:
After removing 42 from the data set, recalculate the mean and median, and explain how these measures of center change.

I'll calculate each step now.Here are the calculations for the given data set:

### a. **Mean of the original data set**:  
The mean is approximately \( 18.5 \).

### b. **Median of the original data set**:  
The median is \( 16.0 \).

### c. **Changes after eliminating the greatest value (42)**:
- **Mean** decreases to approximately \( 16.36 \).
- **Median** decreases to \( 14.0 \).

Removing the largest value (42) reduces both the mean and median, with the mean seeing a more noticeable decrease due to its sensitivity to extreme values. The median, being less influenced by extreme values, decreases slightly as well.

Do you have any questions or would you like more details?  
Here are 5 related questions you can explore:

1. How would the mean change if we eliminated a different value (e.g., 9)?
2. What happens to the mean and median if we add another extreme value to the data set?
3. What is the effect of adding multiple identical values to the data?
4. How would we calculate the mode for this data set?
5. How do mean and median compare as measures of central tendency for skewed data?

**Tip**: The mean is more sensitive to outliers compared to the median, which is why removing extreme values often has a greater effect on the mean than on the median.

The data represent the number of cans collected by different classes for a service project. [12, 14, 22, 14, 18, 23, 42, 13, 9, 19, 22, 14]. Find the mean, median, and explain changes when the greatest value is eliminated.

Learn how to calculate the mean and median of a data set representing cans collected by classes. Analyze how eliminating an outlier (the greatest value) affects the measures of central tendency. Includes step-by-step explanations.

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