Find the first quartile for this list of numbers

45	85
22	61
59	28
88	66
72	15
75	43
83	20
32

Quartile 1 =

To find the first quartile (Q1) for the given list of numbers, we will follow these steps:

### 1. Arrange the numbers in ascending order:
15, 20, 22, 28, 32, 43, 45, 59, 61, 66, 72, 75, 83, 85, 88

### 2. Find the position of Quartile 1 (Q1):
The first quartile (Q1) is the value at the 25th percentile, which separates the lowest 25% of the data from the rest.

To find the position, use the formula for quartiles:
\[
Q1 = \dfrac{(n+1)}{4}
\]
where \(n\) is the total number of data points.

In this case, \(n = 15\), so:
\[
Q1 = \dfrac{(15+1)}{4} = \dfrac{16}{4} = 4
\]

This means the first quartile is the 4th number in the ordered list.

### 3. Find the value at the 4th position:
The 4th number in the ordered list is **28**.

### Therefore, Quartile 1 (Q1) = **28**.

Would you like further details or have any questions?

Here are 5 related questions for deeper understanding:
1. How do you calculate other quartiles from a data set?
2. How do quartiles help in understanding data distribution?
3. What are some differences between quartiles and percentiles?
4. How do you calculate the interquartile range (IQR)?
5. Can you use quartiles in larger data sets differently?

**Tip:** Quartiles are useful in identifying outliers, as values outside of 1.5 times the interquartile range (IQR) from the quartiles are often considered outliers.

Find the first quartile for this list of numbers: 45, 85, 22, 61, 59, 28, 88, 66, 72, 15, 75, 43, 83, 20, 32

Learn how to calculate the first quartile (Q1) for a list of numbers, including 15, 20, 22, and others, using the quartile formula. This example walks through the process of ordering data, applying the formula, and determining Q1. Ideal for students in Grades 6-8.

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