Difficulty: Easy
Correct Answer: 66
Explanation:
Introduction / Context:
When each member of a group adds the same quantity, the group average increases by that quantity as well. This property saves time over recomputing totals from scratch.
Given Data / Assumptions:
Concept / Approach:
If everyone adds the same number x, the average increases by x. No need to know individual counts to find the new mean.
Step-by-Step Solution:
Verification / Alternative check:
Total initially = 60 * 3 = 180. Added total = 6 * 3 = 18. New total = 198. New average = 198 / 3 = 66. Confirms the shortcut.
Why Other Options Are Wrong:
Common Pitfalls:
Adding 6 only once to the total instead of per person, which would understate the increase in the mean.
Final Answer:
66
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