Question
Download Solution PDFIn the first 24 matches, a cricket player averages 60 runs. The overall average for all 32 matches is 80. Determine the average for the last 8 matches.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A cricket player averages 60 runs in the first 24 matches.
Total matches = 32
Overall average = 80
Last 8 matches = Total matches - First 24 matches
Formula used:
Total runs = Average × Number of matches
Average for last 8 matches = (Total runs in 32 matches - Total runs in first 24 matches) / 8
Calculations:
Total runs in first 24 matches = 60 × 24 = 1440
Total runs in 32 matches = 80 × 32 = 2560
Runs in last 8 matches = Total runs in 32 matches - Total runs in first 24 matches
⇒ Runs in last 8 matches = 2560 - 1440 = 1120
Average for last 8 matches = Runs in last 8 matches / 8
⇒ Average for last 8 matches = 1120 / 8 = 140
∴ The correct answer is option (1).
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