Cricket scores average split: A cricketer averages 43.9 runs over 10 matches. If the average for the first 6 matches is 53, what is the average for the last 4 matches?

Introduction / Context:Split-average problems require translating averages into totals for different segments, then finding the residual segment sum and its mean.

Given Data / Assumptions:

• Overall: 10 matches, average 43.9 runs
• First 6 matches: average 53 runs

Concept / Approach:Total = average * count. Subtract the known segment total from the overall total to get the remaining segment total, then divide by its count.

Step-by-Step Solution:

Verification / Alternative check:6 matches at 53 contribute strongly to the overall. The last 4 must average below 43.9 to pull the total down to 439, consistent with 30.25.

Why Other Options Are Wrong:

• 17.15, 29.75, 31, 28.5: do not equal 121 divided by 4.

Common Pitfalls:Arithmetic missteps in decimal multiplication or division. Keep one extra decimal place then round at the end if needed.

Final Answer:30.25