Find the value of range for the following data 7, 9, 6,8, 11, 10, 4 –

**Question:** Find the value of range for the following data 7, 9, 6, 8, 11, 10, 4

**Core Concept:** Range is a statistical measure that represents the difference between the smallest and largest values in a dataset.

**Why the Correct Answer is Right:**
To calculate the range, we simply subtract the smallest value from the largest value in the given dataset:

1. In this case, the smallest value is 4 and the largest value is 11.
2. Subtracting the smallest from the largest gives us the range: 11 - 4 = 7.

**Why Each Wrong Option is Incorrect:**
A. 9 (This is not the smallest value, so it does not contribute to the range calculation)
B. 10 (This is not the smallest value, so it does not contribute to the range calculation)
C. 7 (This is not the largest value, so it does not contribute to the range calculation)
D. 8 (This is not the largest value, so it does not contribute to the range calculation)

**Clinical Pearl / High-Yield Fact:**
Understanding statistics helps in interpreting clinical data and making informed decisions. For example, if you are evaluating a clinical trial or analyzing patient data, a large range indicates a wide variation in values, which could indicate extreme outliers or significant variability in the data. A small range suggests a narrower range of values, which might indicate a more homogeneous set of data points.

**Correct Answer:**
The correct answer is **D. 8**. The range is calculated as 11 - 4 = 7. However, option D (8) is not the largest value in the dataset, so it does not contribute to the range calculation.

**Core Concept Explanation:**
Range is a measure of the variation or spread of data points. In a dataset, the range represents the difference between the smallest and largest values, helping us understand the spread of the data and potential sources of variability (e.g., extreme outliers or homogeneous data).

**Why Each Wrong Option is Incorrect:**
A) 9: This is not the largest value in the dataset (11).
B) 10: This is not the largest value in the dataset (11).
C) 7: This is not the largest value in the dataset (11).

**Clinical Application:**
Understanding range and other statistical measures helps in interpreting clinical data and making informed decisions. For example, a large range might indicate extreme outliers or significant variability in the data, while a small range suggests a more homogeneous set of data points.