An 11-member cricket team captain is 26 years old, and the wicket-keeper is 3 years older. Excluding them, the remaining players average one year less than the full team. What is the team average?
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Answer: A. 23 years
Explanation
Total age sum for the entire eleven-member team equals eleven times the team average. Excluding the captain and wicketkeeper leaves nine players averaging one year less. Equating total sums yields a team average age of 23 years. Captain age is 26 and wicketkeeper age is 26 plus 3 which is 29 years. Combined age of captain and wicketkeeper equals 26 plus 29 which is 55 years. Remaining nine players age sum equals nine multiplied by team average minus one.
Sports team statistics often analyze age demographics and player experience levels. Group average problems test the ability to set up simultaneous linear equations. Statistical adjustments for subset averages are common in epidemiological studies. Choosing 24 years overestimates the team average when excluding the senior players. Choosing 25 years results in an incorrect total age sum for the remaining players. Choosing none of these is incorrect because 23 years is the exact calculated average.
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- Mathematics
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