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Part 1

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

6565

6565

6565

8585

9595

100100

115115

150150

150150

225225 
  
234234

300300

300300

375375

450450

525525

600600

600600

600600

600600

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.)

To find the mean, we follow the formula for the mean of a set of values:

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

### Step 1: Sum of all data values

Let's add all the given values:

\[
3939 + 6060 + 6060 + 6565 + 6565 + 6565 + 8585 + 9595 + 100100 + 115115 + 150150 + 150150 + 225225 + 234234 + 300300 + 300300 + 375375 + 450450 + 525525 + 600600 + 600600 + 600600 + 600600 + 25002500 + 30003000
\]

### Step 2: Total number of data values

There are 25 values in the data set.

Now let's calculate the mean.The mean of the data set is approximately \$2,415,550.32.

Would you like to proceed with finding the median, mode, and midrange or ask any questions?

Here are five related questions that expand on this:
1. What is the formula for calculating the median of a data set?
2. How do outliers affect the mean?
3. Can there be more than one mode in a data set?
4. How does the midrange compare to the mean?
5. What methods can be used to identify outliers?

**Tip:** When data includes extremely high or low values, it's important to check if they are outliers as they can significantly affect the mean.

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, 6565, 6565, 6565, 8585, 9595, 100100, 115115, 150150, 150150, 225225, 234234, 300300, 300300, 375375, 450450, 525525, 600600, 600600, 600600, 600600, 25002500, 30003000

Learn how to find the mean, median, mode, and midrange of a data set representing marriage proposal package costs at various sports venues. Understand how to identify outliers and explore key statistical concepts in this comprehensive guide. Suitable for high school students in Grades 9-12.

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