Question

Range of data 5, 10, 15, 20 is ____.

• A. 10
• B. 15
• C. 20
• D. 5

Hint:

While the Range is easy to calculate, it only considers the two extreme values and ignores everything in between. This makes it very sensitive to "outliers" (unusually high or low numbers).

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
The range is the simplest measure of dispersion in a data set. It represents the total spread between the smallest and the largest values.

Step 2: Key Formula or Approach:
\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} \]

Step 3: Detailed Explanation:
In the given data set $\{5, 10, 15, 20\}$: 1. The Maximum (largest) value is 20. 2. The Minimum (smallest) value is 5. 3. Calculation: \[ \text{Range} = 20 - 5 = 15 \]

Step 4: Final Answer:
The range of the data is 15.