Which is following is the formula for Range

Appeared in: RUHS, Jaipur, M.Sc Nursing Entrance Exam-2024

Explanation

Range is a measure of statistical dispersion, representing the total spread of data from the lowest to the highest value.
It is calculated as the difference between the highest value (H) and the lowest value (L) in a dataset.
The correct formula is expressed as R = H - L, where 'H' stands for the highest value and 'L' for the lowest value.

Option A: This represents the sum of the highest and lowest values, not the difference. It does not measure the spread of the data.
Option B: This is the product of the highest and lowest values. It has no standard statistical meaning for measuring dispersion.
Option C: This subtracts the highest value from the lowest, which would result in a negative value (or zero). Range is always a non-negative value representing a distance or spread.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Formula for calculating the statistical range as background academic context rather than a clinical decision trigger.
Nurses use basic statistics to interpret clinical data, such as the range of vital signs (e.g., heart rate, blood pressure) over a period to assess patient stability.
Understanding the range of lab values helps in identifying results that are outside the normal physiological limits, indicating potential health issues.
What if? If a patient's systolic blood pressure readings over 24 hours were 120, 125, 130, 145, and 115 mmHg, the range would be 145 - 115 = 30 mmHg. A very large range might indicate blood pressure lability, which is a clinical concern.

How to Approach the Question

Identify the core concept: The question asks for the formula for 'Range'.
Recall the definition of Range in statistics. It is a measure of the spread or difference between the maximum and minimum values in a dataset.
Translate the definition into a mathematical expression: Highest value minus Lowest value.
Represent 'Highest value' with 'H' and 'Lowest value' with 'L'.
The expression becomes H - L. Match this with the given options to find the correct answer.

Concept Tested & Keywords

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E6 NursingResearch Sukhpal Kaur pp. 452-454, 451-453

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