Determine the median of the given set of numbers.

55​, 

88​, 

44​, 

77​, 

55​, 

88​, 

66​, 

44​, 

44​, 

44​, 

55​, 

44​, 

44

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Part 1

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

The median is 

enter your response here. 

​(Type an integer or decimal rounded to the nearest tenth as​ needed.)

B.

There is no solution.

To determine the median of a given set of numbers, follow these steps:

1. **Order the data set in ascending order**.
2. **Count the number of data points**.
3. **Determine the position of the median**:
   - If the number of data points is odd, the median is the middle value.
   - If the number of data points is even, the median is the average of the two middle values.

### Given Data Set:
55, 88, 44, 77, 55, 88, 66, 44, 44, 44, 55, 44, 44

1. **Sort the data in ascending order**:
   - 44, 44, 44, 44, 44, 44, 55, 55, 55, 66, 77, 88, 88

2. **Count the number of data points**:
   - There are 13 data points.

3. **Find the median**:
   - Since the number of data points is odd (13), the median is the middle value.
   - The middle value is the 7th number in the ordered list.

**Median** = 55

So, the correct answer is:
- **A. The median is 55.**

Would you like a more detailed explanation or have any questions?

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Here are some related questions:

1. How do you find the mode of the data set?
2. What is the range of this data set?
3. How would the median change if one additional value was added to the data set?
4. What is the difference between the median and the mean?
5. How can the median be used to describe the center of the data set?
6. What happens to the median if outliers are present in the data set?
7. How can you visualize this data set using a box plot?
8. How do you calculate the first quartile (Q1) of this data set?

**Tip:** The median is a useful measure of central tendency, especially when the data set contains outliers, as it is not influenced by extreme values.

Learn how to determine the median of a given set of numbers with a step-by-step guide. Example data set: 55, 88, 44, 77, 55, 88, 66, 44, 44, 44, 55, 44, 44. Understand the concept of median, its calculation method, and its significance in statistics. Suitable for Grades 7-9.

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