Determine the quartiles of the following dataset which represents total points scored during recent football games.

12, 14, 15, 17, 17, 21, 24, 25, 27, 31, 33

To determine the quartiles of the dataset, we need to first order the data and then identify the first quartile (Q1), second quartile (Q2 or median), and third quartile (Q3). Let's begin.

### Ordered Dataset:
12, 14, 15, 17, 17, 21, 24, 25, 27, 31, 33

There are 11 data points in total.

### Steps:

1. **Median (Q2):**
   The median divides the dataset into two equal halves. Since there are 11 values, the middle value is the 6th value.
   
   - Median = 21 (the 6th value in the ordered list).

2. **First Quartile (Q1):**
   Q1 is the median of the lower half of the dataset (values before the median).
   The lower half is:
   12, 14, 15, 17, 17
   
   The median of this lower half (5 values) is the 3rd value.
   - Q1 = 15

3. **Third Quartile (Q3):**
   Q3 is the median of the upper half of the dataset (values after the median).
   The upper half is:
   24, 25, 27, 31, 33
   
   The median of this upper half (5 values) is the 3rd value.
   - Q3 = 27

### Quartiles:
- Q1 = 15
- Q2 (Median) = 21
- Q3 = 27

Would you like more details or have any questions?

### Relative Questions:
1. What is the interquartile range (IQR) for this dataset?
2. How would outliers affect the quartiles in a dataset?
3. Can quartiles be used to describe data distribution?
4. How do you interpret the meaning of each quartile in this context?
5. What are some common uses of quartiles in sports analytics?

**Tip:** Quartiles help measure the spread and dispersion of the data, providing insights into the distribution.

Determine the quartiles of the following dataset which represents total points scored during recent football games. 12, 14, 15, 17, 17, 21, 24, 25, 27, 31, 33

Learn how to calculate quartiles (Q1, Q2, Q3) for a football points dataset: 12, 14, 15, 17, 17, 21, 24, 25, 27, 31, 33. This solution uses statistical concepts to identify the spread and distribution of the data. Ideal for students in Grades 8-10.

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