## **Core Concept**
The question tests understanding of basic statistics, specifically the concept of quartiles. Quartiles divide a dataset into four equal parts, with the first quartile (Q1) being the median of the lower half of the data.
## **Why the Correct Answer is Right**
To find the first quartile (Q1) of the given dataset (1, 3, 4, 2), we first need to arrange the data in ascending order: 1, 2, 3, 4. Since there are 4 numbers (an even amount), the lower half of the data is 1 and 2. The first quartile (Q1) is the median of these two numbers. The median of 1 and 2 is calculated as (1 + 2) / 2 = 1.5.
## **Why Each Wrong Option is Incorrect**
- **Option A:** Without a value provided, we cannot directly assess its correctness, but we know Q1 is 1.5.
- **Option B:** Similarly, without a specific value, we cannot directly evaluate, but based on calculations, it seems incorrect.
- **Option C:** This option is not directly evaluable without a value but given the correct calculation of Q1 as 1.5, any option not equal to 1.5 is incorrect.
- **Option D:** Provides 2 as an option, which is incorrect because 2 is the second number in the sequence and not the median of the lower half.
## **Clinical Pearl / High-Yield Fact**
In statistics, understanding quartiles helps in assessing the spread of data. The first quartile (Q1) tells us that 25% of the data points are below this value. This concept is crucial in various medical fields for interpreting patient data, study results, and more.
## **Correct Answer:** B. 1.5
Free Medical MCQs Β· NEET PG Β· USMLE Β· AIIMS
Access thousands of free MCQs, ebooks and daily exams.
By signing in you agree to our Privacy Policy.