A measure of central tendency which is calculated by arranging members in numerical order is?

Appeared in: UPUMS Nsg.Officer-2024

Explanation

The median is defined as the middle value in a dataset that has been sorted in ascending or descending order.
This positional measure requires arranging the data to identify the central point that divides the dataset into two equal halves.
For an odd number of observations, it is the single middle value. For an even number, it is the average of the two middle values.

Option A: Standard deviation is a measure of dispersion or variability, not central tendency. It describes how spread out the data points are from the mean.
Option B: The range is a measure of dispersion. It only indicates the difference between the maximum and minimum values and does not represent a central value.
Option C: The mode is the value that appears most frequently. While it is a measure of central tendency, its calculation does not require the data to be arranged in numerical order.

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 nursing research and healthcare statistics, the median is often a more robust measure of central tendency than the mean when the data is skewed (not symmetrical).
For example, when reporting the length of hospital stays, a few patients with extremely long stays (outliers) can heavily inflate the mean, making the median a more accurate representation of a 'typical' stay.
What if? If a dataset had a perfectly normal (bell-shaped) distribution, the mean, median, and mode would all be the same value. In such cases, any of these measures could be used to describe the center of the data.

How to Approach the Question

First, identify the key phrases in the question: 'measure of central tendency' and 'arranging members in numerical order'.
Next, categorize the given options. 'Standard deviation' and 'Range' are measures of dispersion (spread), not central tendency. This eliminates two options.
Now, compare the remaining measures of central tendency: 'Mode' and 'Median'.
Recall the definitions. 'Mode' is about frequency (most common value). 'Median' is about position (middle value).
The requirement of 'arranging members in numerical order' directly matches the procedure for finding the positional middle value, which is the median.

Concept Tested & Keywords

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E6 NursingResearch Sukhpal Kaur pp. 440-442, 448-450

E6 NursingResearch Suresh Sharma 5e Part 2 p. 134-136

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