Question:medium

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

Updated On: Jan 13, 2026
  • mean
  • median
  • mode
  • range
Show Solution

The Correct Option is B

Solution and Explanation

Problem:
Given a description of a statistical measure: A specific variable \(x\) divides an ordered data set into two equal halves. Identify the name of this value of \(x\).

Step 1: Interpret the definition
When a data set is ordered numerically (either ascending or descending), a value that splits it into two equal segments, with 50% of the data below and 50% above, is known as the median.

Step 2: Statistical terminology
The three primary measures of central tendency are:
- Mean: The arithmetic average of all data points.
- Median: The central value in an ordered data set.
- Mode: The most frequent value in a data set.

Based on the provided description, the variable \(x\) unequivocally represents the median, as it divides the data into two equal proportions.

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