A has 8 pencils, B has 10 pencils, and C has 15 pencils. What is the average number of pencils per person?

Introduction / Context:This question tests understanding of the arithmetic mean and recognition when an answer choice describes a range rather than an exact value. Sometimes MCQs include qualitative choices like “lies between” when the exact numerical value is not listed.

Given Data / Assumptions:

• Pencils: A = 8, B = 10, C = 15
• Three people in total

Concept / Approach:Average = (sum of values) / (count). If the precise average is not one of the options, determine which qualitative statement correctly covers it.

Step-by-Step Solution:

Verification / Alternative check:Since 11 is greater than 9 and less than 15, the description “lies between 9 and 15” accurately characterizes the exact mean even though it is not numerically presented among the options.

Why Other Options Are Wrong:

• 8: Too low; below the mean.
• 10: Close, but the exact mean is 11.
• 15: This is the maximum individual count, not the mean.
• None of these: A correct descriptive option exists.

Common Pitfalls:Forgetting to check whether a qualitative option accurately describes the exact mean when the exact number is absent among choices.

Final Answer:lies between 9 and 15