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

Appeared in: DSSSB 13 August 2024

Explanation

The mode is the value that has the highest frequency in a given set of data.
It represents the most common or typical value within the dataset.
A dataset can have one mode (unimodal), two modes (bimodal), or more (multimodal).
For example, in the set {1, 2, 2, 3, 4}, the mode is 2 because it appears more often than any other number.

Option A: The range is a measure of dispersion or variability, not central tendency. It describes the spread of the data.
Option C: The median is the middle value of a dataset when it is sorted in ascending or descending order. It represents the positional middle, not the most frequent value.
Option D: The mean is the arithmetic average of all the values in a dataset. It is calculated by summing all values and dividing by the number of values. It may not even be an actual value present in the dataset.

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 practice, the mode is useful for analyzing categorical or nominal data, such as identifying the most common symptom reported by patients, the most frequent diagnosis in a ward, or the most common patient satisfaction response.
For example, if a survey of post-operative patients reveals that the most frequently reported pain level on a scale of 1-10 is '7', the mode is 7. This helps nurses understand the typical pain experience and plan interventions accordingly.
What if? If a dataset has two values that occur with the same highest frequency (e.g., {2, 2, 3, 4, 4, 5}), the dataset is called 'bimodal', and both values (2 and 4) are considered modes. The answer would still relate to frequency, but there would be more than one mode.

How to Approach the Question

First, read the question carefully to identify the key phrase: 'most frequently occurring observation'.
This is a recall-based question that tests your knowledge of basic statistical terms.
Recall the definitions of the four options provided: Range, Mode, Median, and Mean.
Match the key phrase from the question to its correct definition among the options.
The definition of 'Mode' is the value that appears most frequently in a data set, which directly matches the question.
Eliminate the other options based on their definitions: Mean is the average, Median is the middle value, and Range is the spread.

Concept Tested & Keywords

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

E6 NursingResearch Sukhpal Kaur p. 449-451

Practise the full DSSSB 13 August 2024

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