Question

The range of the data 12, 25, 15, 18, 35, 11, 45, 33, 22, 10 is:

• A. 10
• B. 45
• C. 35
• D. 11

Hint:

Range depends only on the largest and smallest observations. Intermediate values do not affect the range.

Answer 1

The Correct Option is C

Concept: Range is the simplest measure of dispersion. It is defined as the difference between the largest observation and the smallest observation. \[ \text{Range} = \text{Largest Value} - \text{Smallest Value}. \]

Step 1: Identify the maximum value. Given data: \[ 12,\, 25,\, 15,\, 18,\, 35,\, 11,\, 45,\, 33,\, 22,\, 10. \] The largest value is \[ 45. \]

Step 2: Identify the minimum value. The smallest value is \[ 10. \]

Step 3: Calculate the range. \[ \text{Range} = 45-10 = 35. \] Conclusion: \[ \boxed{35} \] Hence, the correct answer is Option (C).