Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why.
A sample of seven admission test scores for a professional school are listed below.
11.7
10.5
10.2
11.0
11.7
11.5
11.7 What is the median​ score? Select the correct choice below and fill in any answer box to complete your choice.
A.
The median score is

enter your response here.
​(Round to one decimal place as​ needed.)
B.
There is no median score.

To find the median score, we need to arrange the data in ascending order and then find the middle value.

The given test scores are:

11.7, 10.5, 10.2, 11.0, 11.7, 11.5, 11.7

**Step 1: Arrange the scores in ascending order:**

10.2, 10.5, 11.0, 11.5, 11.7, 11.7, 11.7

**Step 2: Find the median:**

Since there are 7 scores (an odd number), the median is the middle value in this ordered list. 

The middle value is the 4th score.

10.2, 10.5, 11.0, **11.5**, 11.7, 11.7, 11.7

So, the median score is **11.5**.

**Answer:**

A. The median score is 11.5 (rounded to one decimal place).

Would you like further details or have any questions?

### Related Questions:

1. How do you find the mean of a set of data?
2. What is the mode, and how is it determined for a data set?
3. Can there be more than one median in a data set? Why or why not?
4. How would you find the median if there were an even number of scores?
5. Why is the median considered a measure of the center of the data?

### Tip:

For any set of data, the median is a valuable measure of central tendency, especially when the data set contains outliers, as it is not affected by extremely high or low values.

Learn how to calculate the mean, median, and mode of a set of admission test scores with detailed explanations. This problem covers statistical measures of central tendency and their applications in real-world data analysis. Suitable for students in Grades 9-12.

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