Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.

Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different sports venues. Are there any​ outliers?

3939

6060

6060

6060

6565

6565

8585

9595

100100

115115

175175

175175

225225 
  
234234

250250

250250

275275

300300

325325

350350

350350

350350

350350

25002500

30003000

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Part 1

**a.** Find the mean. 

The mean is 

​$enter your response here.

​(Type an integer or a decimal rounded to two decimal places as​ needed.)

Let's calculate each of the required statistics step by step. 

### Given Data:
3939, 6060, 6060, 6060, 6565, 6565, 8585, 9595, 100100, 115115, 175175, 175175, 225225, 234234, 250250, 250250, 275275, 300300, 325325, 350350, 350350, 350350, 350350, 25002500, 30003000.

### a. Mean
The mean is calculated by summing all the values and dividing by the number of values.

\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
\]

Let's calculate:

1. **Sum of all values:**
   \[
   3939 + 6060 + 6060 + 6060 + 6565 + 6565 + 8585 + 9595 + 100100 + 115115 + 175175 + 175175 + 225225 + 234234 + 250250 + 250250 + 275275 + 300300 + 325325 + 350350 + 350350 + 350350 + 350350 + 25002500 + 30003000
   \]

2. **Number of values:**  
There are 25 values.

Now, let's calculate the sum and then divide by the number of values.The mean of the given data is **$2,355,470.12** (rounded to two decimal places).

Would you like to proceed with finding the median, mode, midrange, and outliers, or do you have any questions about this calculation?

Here are some relative questions:
1. How would you interpret the mean in the context of this data?
2. What is the significance of the median compared to the mean?
3. Can the mean be affected by outliers? How so?
4. What scenarios would cause the mode to be more useful than the mean or median?
5. How would you calculate the variance of this dataset?

**Tip:** When dealing with outliers, it’s important to consider both the mean and median to understand how much the outliers are affecting your analysis.

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the amounts (dollars) it costs for marriage proposal packages at different sports venues. Are there any outliers? 3939, 6060, 6060, 6060, 6565, 6565, 8585, 9595, 100100, 115115, 175175, 175175, 225225, 234234, 250250, 250250, 275275, 300300, 325325, 350350, 350350, 350350, 350350, 25002500, 30003000

Learn how to find the mean, median, mode, and midrange of a dataset that represents the costs of marriage proposal packages at sports venues. This problem covers descriptive statistics concepts and helps identify potential outliers. Suitable for high school students (Grades 9-12).

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