Compute the average of these nine scores: 253, 124, 255, 534, 836, 375, 101, 443, 760.

Introduction / Context:
Finding the mean of a finite set is a direct total divided by count operation. Careful addition avoids arithmetic slips.

Given Data / Assumptions:

• Scores: 253, 124, 255, 534, 836, 375, 101, 443, 760

Concept / Approach:
Sum all values accurately, then divide by 9.

Step-by-Step Solution:

Verification / Alternative check:
Use grouping to cross check: (253 + 443) + (124 + 836) + (255 + 375) + 534 + 101 + 760 = 696 + 960 + 630 + 534 + 101 + 760 = 3681; 3681/9 = 409.

Why Other Options Are Wrong:

• 413, 427, 490: Do not match the exact computed average.

Common Pitfalls:
Arithmetic errors when summing many numbers; double count or omission mistakes.

Final Answer: