If there was a five number summary for 16, 16, 18, 20, 20, 22, 26, 27, 28 
What would the Q3 be?

To find the third quartile (Q3) of the five-number summary for the dataset 16, 16, 18, 20, 20, 22, 26, 27, 28, follow these steps:

1. **Sort the data (if necessary):** The data is already in ascending order:  
   16, 16, 18, 20, 20, 22, 26, 27, 28.

2. **Find the median (Q2):** Since there are 9 numbers, the middle number is the 5th number.  
   \( Q2 = 20 \).

3. **Split the data into two halves:**  
   - Lower half: 16, 16, 18, 20  
   - Upper half: 22, 26, 27, 28

4. **Find Q3:** The third quartile (Q3) is the median of the upper half. Since there are 4 numbers, take the average of the 2nd and 3rd values:  
   \( Q3 = \frac{26 + 27}{2} = 26.5 \).

Thus, the third quartile (Q3) is **26.5**.

Would you like more details on this method or any other aspect of the five-number summary?

Here are five related questions:
1. How do you calculate the first quartile (Q1)?
2. What is the five-number summary for this dataset?
3. How do quartiles help in understanding data distributions?
4. What is the interquartile range (IQR) for this data?
5. How are quartiles related to box plots?

**Tip:** Quartiles divide data into four equal parts and provide insights into the distribution and spread of a dataset.

If there was a five number summary for 16, 16, 18, 20, 20, 22, 26, 27, 28, what would the Q3 be?

Learn how to calculate the third quartile (Q3) for the dataset 16, 16, 18, 20, 20, 22, 26, 27, 28, and understand the five-number summary. This problem is ideal for students in Grades 6-8, covering key statistical concepts such as quartiles and median calculation.

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