Question

What is the range of the dataset \(\{5, 8, 12, 20, 25\}\)?

• A. 15
• B. 17
• C. 20
• D. 25

Hint:

The range is the simplest measure of variability but can be sensitive to outliers (extremely high or low values). For exam questions, always ensure the dataset is properly scanned to find the true maximum and minimum values.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept 
The range of a dataset is a measure of its spread. It is defined as the difference between the highest (maximum) and lowest (minimum) values in the set. 
Step 2: Key Formula or Approach 
\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} \] 

Step 3: Detailed Explanation 
The given dataset is \(\{5, 8, 12, 20, 25\}\). 
First, identify the maximum and minimum values in the dataset. 
Maximum Value = 25 
Minimum Value = 5 
Now, apply the formula for the range: 
\[ \text{Range} = 25 - 5 = 20 \] This value corresponds to option (C). 
Note: The provided answer key in the image `Answer: (B) 20` contains a typo in the option letter. The correct value is 20, which is listed as option (C). 
Step 4: Final Answer 
The range of the dataset is 20.