A bouquet initially contains 6 flowers on average. If the seller doubles the flowers in each bouquet, what is the new average number of flowers per bouquet?

Introduction / Context:
Uniform scaling of every data point scales the average by the same factor. Doubling every bouquet's count doubles the mean as well.

Given Data / Assumptions:

• Original average flowers per bouquet = 6
• Each bouquet is doubled

Concept / Approach:
If each value is multiplied by k, the average is multiplied by k. Here k = 2.

Step-by-Step Solution:

Verification / Alternative check:
Consider three bouquets with counts 5, 6, 7 (average 6). Doubling gives 10, 12, 14 (average 12). Pattern generalizes to any data set.

Why Other Options Are Wrong:

• 3: This would be halving, not doubling.
• 8: Not consistent with a full factor-of-two increase.
• none of these and 6: Both ignore the uniform scaling rule.

Common Pitfalls:
Confusing doubling with adding a fixed number; multiplying is required here.

Final Answer:
12