**Question:** First quartile of the following data is - 1, 3, 4, 2

**Core Concept:** Quartiles are statistical measures that divide a dataset into four equal parts. The first quartile (Q1) is the median of the lower half of the data, representing the value below which falls half of the data points.

**Why the Correct Answer is Right:**
In this case, the quartiles of the given data (1, 3, 4, 2) are calculated as follows:
1. Arrange the data in ascending order: 1, 2, 3, 4
2. Identify the position of the median (Q1) based on the number of data points (4): since 4 is an even number, the median is the average of the two middle values (3rd and 4th data points): (2 + 3) / 2 = 2.5

**Why Each Wrong Option is Incorrect:**
A. This option is incorrect because it represents the median of the upper half of the data (Q3), which is not what we are looking for in this question.
B. This option is incorrect as it represents the Q1 value calculated incorrectly.
C. This option is incorrect as it represents the average of the two middle values (3rd and 4th data points), not the median of the lower half, which is what Q1 represents.
D. This option is incorrect because it represents the median of the entire dataset (Q2), which is not what we are looking for in this question.

**Clinical Pearl / High-Yield Fact:**
The quartiles are useful in interpreting and analyzing medical data, particularly when comparing different datasets or assessing distribution of a continuous variable. Q1 indicates the value that divides the lower half of a dataset into quartiles, helping to understand the range, spread, and central tendency of the data.

**Correct Answer:**
Correct Answer: B (2)

Explanation:
The first quartile (Q1) is the value that divides the lower half of a dataset into quartiles. In this case, the correct value for Q1 is 2, which is the average of the two middle values (3rd and 4th data points) in the given dataset (1, 2, 3, 4).