In case of raw data, which one among the following will be the middle value after arranging the sample values in ascending or descending order?

Appeared in: AIIMS Raipur lecturer 2021

Explanation

The median is, by definition, the middle-most value in a dataset after the values have been arranged in order of magnitude.
This makes it a 'positional average' because its value is determined by its position in the sorted list, not by the magnitude of all the other values.
The question directly describes the process of finding the median: arranging the data and identifying the middle value.
For an odd number of observations (n), the median is the ((n+1)/2)th value. For an even number, it's the average of the two central values.

Option A: The mean is the arithmetic average, calculated by summing all values and dividing by the number of values. It does not require the data to be sorted and does not necessarily represent the middle value.
Option C: The mode is the value that appears most frequently in a dataset. While sorting can help identify the mode, its definition is based on frequency, not position.
Option D: This option is incorrect because a correct answer (Median) is available among the choices.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Measures of Central Tendency as background academic context rather than a clinical decision trigger.
In clinical research and practice, understanding measures of central tendency is crucial for interpreting data. For example, the median survival time is often reported in oncology studies because it is less affected by a few patients who live for a very long time (outliers).
Nurses may use the median to understand typical patient values, such as the median length of a hospital stay for a specific condition, which helps in resource planning and patient counseling.
What if the data had extreme outliers, like a few very high or low blood pressure readings? The mean would be significantly skewed by these outliers, whereas the median would provide a more stable and representative measure of the central tendency of the patient's typical blood pressure.

How to Approach the Question

First, carefully read the question and identify the key definitional phrases. The critical phrases here are 'middle value' and 'after arranging the sample values in ascending or descending order'.
Next, review the options provided, which are all measures of central tendency.
Recall the specific definition of each measure:
Mean = Arithmetic average
Median = Middle value of a sorted dataset
Mode = Most frequent value

Concept Tested & Keywords

QITZlhWyZOIz9lB8qPpVmk

E6 NursingResearch Suresh Sharma 5e Part 2 pp. 132-134, 134-136

Practise the full AIIMS Raipur lecturer 2021

Attempt every question from this paper in a timed mock, then review the full solution for each one.