Mean and weighted average problems.
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Q1 · Average · EASY
The average weight of 5 police constables is 68 kg. If one constable weighing 72 kg is replaced by a new constable, the average weight increases to 69 kg. What is the weight of the new constable?
Q2 · Average · MEDIUM
The average score of 30 candidates in a police recruitment test is 45 marks. If the average score of 18 candidates who passed is 55 marks, what is the average score of the candidates who failed?
Q3 · Average · MEDIUM
In a police station, the average age of 8 constables is 28 years. When 2 constables aged 24 years and 26 years leave and 2 new constables join, the average age becomes 29 years. What is the average age of the two new constables?
Q4 · Average · HARD
A vehicle patrol team of 12 police personnel has an average age of 32 years. When the team leader, who is 44 years old, is excluded and replaced by a new officer who is 26 years old, what is the new average age of the team?
Q5 · Average · MEDIUM
The average of 5 numbers is 36. If one number is excluded, the average becomes 32. What is the excluded number?