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题目内容
2h+3k=5, 2j-k=2, what is the average of h, k, and j?
The average score of students in class 1, 2 and 3 is 83, 87, and 89, respectively, while the average score of all the students together is 86.

Quantity A:The number of students in class 1

Quantity B:The number of students in class 3
The average age of 40 students is 21.5. After 10 new students join them, the new average is 22.5. What`s the average age of the 10 new students?

Give your answer as a decimal.
The average (arithmetic mean) of 20 numbers is 53. When one of the numbers is discarded, the average (arithmetic mean) of the remaining numbers is 54.

Quantity A

The discarded number

Quantity B

50


List A consists of n integers and list B consists of k integers. The average (arithmetic mean) of the integers in list A is less than the average of the integers in list B. The sum of the integers in list A is 524 and the sum of the integers in list B is 565.

Quantity A

n

Quantity B

k


List K consists of 100 numbers between 20 and 40, and list M consists of 200 numbers between 30 and 50.

Quantity A:The arithmetic mean of the members in list K

Quantity B:The arithmetic mean of the members in list M
R:x,y,z,2.7,3.8,5.5

S:x,y,z,-2.7,-3.8,-5.5

If the average (arithmetic mean) of the 6 numbers in list R is r and the average of the 6 numbers in list S is s, then r-s is the average of which of the following lists?
List S: a, b, c

List T: 3a+1, 3b+1, 3c+1

If the average of all the numbers in list S is m, what is the average of all the numbers in list T?
30% of all alumni donate money to a university, while the average donation is $1,350 per donator.

Quantity A

The average donation for all the alumni

Quantity B

450


List G consists of positive integers, each of which is less than or equal to 300. The average (arithmetic mean) of the integers in G is greater than 25c, where c is a positive number.

Quantity A

c

Quantity B

13


5 collectors have some rare collection,then comes the $$6^{th}$$ collector with 50 pieces of collection,and then the average piece of collection is 5 more than the average before. Then comes the $$7^{th}$$ collector with some collection,and the average is 5 more than the average of the first 6 collectors. How many pieces of collection does the $$7^{th}$$ collector have?
List L consists of n values, and the average (arithmetic mean) of the values in L is 10. List M consists of r values, and the average of the values in M is 15. The average of the values in List L and M combined is 11. If r > 100, which of the following could be the value of n?

Indicate all such values.
List A include five numbers: x, x+1, x+1, x+1, x+2

List B can be achieved by adding 3 times the range of List A to each data in List A.

The average of all the numbers in List B is how much higher than that of List A?
Each digit of a 20-digit number is either a 1, 2, 3, 4, or 5. If the average (arithmetic mean) of 15 of the 20 digits of the number is 2.8 and if M is the average of all 20 digits of the number, then M must satisfy which of the following inequalities?
In a competition, a certain contestant scored either 2 points or 4 points in each round of the competition. This contestant`s average (arithmetic mean) score for the entire competition was 3.8 points per round.

Quantity A

9 times the number of rounds in which the contestant scored 2 points

Quantity B

The number of rounds in which the contestant scored 4 points


Quantity A

The median of 2, 5, 7, 10, x, x+4

Quantity B

The median of 1, 2, 3, 5, 6, 7, 8, 9


2$$\sqrt{2}$$-1, $$\sqrt{2}$$-1, 1+$$\sqrt{2}$$, 1- $$\sqrt{2}$$, $$\sqrt{2}$$

What is the median of the numbers shown?
If the average (arithmetic mean) of the list of positive integers 2, x, y and 7 is 3, then the median of the list of integers is?
List S consists of 19 numbers, and the median of the numbers in S is 8. List T consists of the numbers in S and the number 7, Which of the following numbers could be the median of T?

Indicate all such numbers.
y < x

y=rs

z=rxy

If r, s, x, y and z are positive even integers that are related by the system shown, what is the median of the integers r, s, x, y and z?

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