Which is the most frequently occurring value in a data set?

Appeared in: KPSC Staff Nurse - 2021

Explanation

The mode is defined as the value that has the highest frequency or occurs most often in a given data set.
It represents the most typical or common value within a series of observations.
For example, in the data set {3, 4, 5, 5, 6, 7}, the value 5 appears twice, more than any other number, so the mode is 5.
Unlike the mean or median, the mode can be used for both numerical and categorical data (e.g., identifying the most frequent diagnosis in a hospital ward).

Option A: The mean is the arithmetic average of a data set, calculated by summing all values and dividing by the count of values. It represents the center of the data but not necessarily the most frequent value.
Option C: The median is the middle value in a data set after the values have been arranged in ascending or descending order. It represents the 50th percentile, not the most frequent value.
Option D: The range is a measure of dispersion or variability, not central tendency. It is calculated as the difference between the highest and lowest values in the data set.

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 a clinical setting, the mode is useful for identifying the most common occurrence of a variable. For example, a nurse manager might use the mode to determine the most frequent reason for patient falls on a unit to implement targeted safety interventions.
It is also used with categorical data, such as identifying the most common blood type among donors or the most prevalent symptom reported by patients with a specific illness.
What if? If a data set of patient ages was {25, 30, 30, 45, 80, 80}, the answer would be 'bimodal' with modes of 30 and 80, as both values appear with the highest frequency (twice).

How to Approach the Question

First, identify the core question. The question asks for the term that defines the 'most frequently occurring value'.
This is a direct recall question testing your knowledge of basic statistical terms.
Review the definitions of each option:
Mean: The average.
Mode: The most frequent.
Median: The middle value.

Concept Tested & Keywords

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

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

Practise the full KPSC Staff Nurse - 2021

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