Calculate the MODE value from the following distribution: 50,51,51,52,53,53,53,53,54,55

Appeared in: AIIMS Raipur NO - 2019 (Shift-1)

Explanation

The mode is defined as the value that has the highest frequency in a given set of data.
To find the mode, you must count the occurrences of each number in the distribution.
In the provided data set (50, 51, 51, 52, 53, 53, 53, 53, 54, 55), the number 53 appears four times.
Since 4 is the highest count for any number in the set, 53 is the mode.

Option A: The number 54 appears only once in the dataset, so it cannot be the mode.
Option C: The number 52 appears only once in the dataset, making it an incorrect choice for the mode.
Option D: The number 51 appears twice. While it appears more than once, the number 53 appears four times, which is a higher frequency.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Measures of Central Tendency: Mode as background academic context rather than a clinical decision trigger.
While this is a mathematics question, understanding basic statistics is crucial in nursing for interpreting research, analyzing patient data trends, and quality improvement projects.
For example, a nurse manager might use the mode to identify the most common reason for patient readmission or the most frequent time of day for medication errors, helping to target interventions.
What if? - If the number 51 also appeared four times (e.g., the set was 50, 51, 51, 51, 51, 53, 53, 53, 53, 54), the dataset would be 'bimodal,' meaning it has two modes: 51 and 53.

How to Approach the Question

First, identify the core task. The question asks you to find the 'MODE' from a list of numbers.
Recall the definition of mode: it is the value that appears most often in a data set.
Scan the list of numbers: 50, 51, 51, 52, 53, 53, 53, 53, 54, 55.
Mentally or on paper, count the frequency of each unique number. You'll find: 50 (1), 51 (2), 52 (1), 53 (4), 54 (1), 55 (1).
Compare the frequencies. The number 53 has the highest frequency (4 times).
Therefore, 53 is the mode. Select the corresponding option.

Concept Tested & Keywords

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