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At an organization, 4 events were organized. The average attendance for the first two events was 168.5 people. The next two events had an average of 182.5 people. Later, due to a correction, it was found that the attendance at one of the first two events was 15 more than what was originally recorded, and one of the last two events was 7 less. Find the corrected overall average attendance for all 4 events.

The average age of class $A$ of 10 students is 30 years. The average age of class B of 20 students is ' $x$ ' years. The combined average age of class A and class B is 44years. What is the value of 'x'?

Which of the following statements is/are INCORRECT ? I. The average of 8 numbers is 25 . If one number is removed, the average of the remaining 7 numbers becomes 24 , then the removed number is 32 . II. If instead, the removed number was 18 , the average of the remaining 7 numbers would be 26 .

The average of 21 numbers is 69. If the average of the first ten is 66 and the average of the last ten is 72, find the 11th number.

The average salary of 12 employees is ₹20,000. The average salary of 4 senior staff is ₹30,000. What is the average salary for the other employees?

The average salary of a team of 90 employees is ₹58,000. If the average salary of 40 of them is ₹68,000, what is the average salary of the remaining employees?

The average of x and y is 60. The average of x, y and z is 80. What is the average of x, y and 2z?

The average of 15 results is 80. If the top two results are excluded, the average becomes 78. What is the average of the top two results?

The average of 10 numbers is 64. If two of them are removed and the new average becomes 62, what is the average of the two removed numbers?

A class of 50 students has an average score of 65. If 10 new students are added and the class average decreases by 1, what is the average score of the 10 new students?

The average age of 25 students is 16 years. A group of 5 new students joins, increasing the average to 18 years. Find the average age of the 5 new students.

The average of 13 numbers is 51 . If the first seven numbers have an average of 50 and the last seven numbers have an average of 51 , find the middle number.

The average score of 40 students is 42 . When a group of 16 new students joins, the average rises to 50 . Find the average score of the new students.

The average monthly salary of employees in a company is ₹ 60,000 . When 6 new employees with average salary ₹45,000 join, the average salary of the whole company decreases by ₹6,000. Find the original number of employees.

In a college, there are 800 faculty members, out of which $60\%$ are females. The average height of males is 150cm, and the average height of females is 170 cm . What is the average height of the entire faculty ?

The average age of group $A$ consisting of 25 students is 18 years. The average age of group B consisting of 50 students is ' x ' years. The combined average age of both groups together is 22 years. What is the value of ' $x$ '?

A group of 8 students appeared for a chemistry test. The average of the top 4 scores was 88.5 , and the average of the bottom 4 scores was 74. Later, it was found that a decimal error had occurred, and one of the scores from the bottom half was recorded as 71.2 instead of 91.2. What is the corrected overall average of the group?

A bullet train covers a fixed distance in 30 minutes at an average speed of 360 km/h. Due to track maintenance, it needs to be diverted, increasing the distance by 25%. If the train needs to arrive at its destination on time (i.e., in 30 minutes), what should its new average speed be in km/h?