Question

If a certain variable \(x\) divides a statistical data arranged in order into two equal parts; then the value of \(x\) is called the:

• A. mean
• B. median
• C. mode
• D. range

Answer 1

The Correct Option is B

Problem:
We are given a description of a statistical measure: A certain variable \(x\) divides an ordered data set into two equal parts. We are to identify what this value of \(x\) is called.

Step 1: Understand the definition
When a data set is arranged in increasing (or decreasing) order, and a value divides it into two equal parts — such that 50% of the values lie below it and 50% above it — this central value is called the median.

Step 2: Terminology in statistics
There are three common measures of central tendency:
- Mean: The average of all data values
- Median: The middle value when data is arranged in order
- Mode: The value that occurs most frequently

According to the definition in the question, the value \(x\) clearly refers to the median, because it splits the data into two equal halves.

Final Answer:
The value of \(x\) is called the median.