一條數學問題~急!!!10點!!!!!

2012-08-30 8:22 pm
STEP+ANSWER plz!!!!!

The mean and median of five integers are 5 and 4 respectively. If 2 and 7 are two of the five numbers, write down the other three possible numbers.

回答 (2)

2012-08-30 10:34 pm
✔ 最佳答案
As median = 4, so the middle one is 4.
Let the first 2 numbers be 2 and x, then the last 2 numbers are 7 and y,
where x <=4 and (2+x+4+7+y) = 5*5 = 25 since the mean is 5.
Therefore x+y = 12
So, the answer is :
One of the number is x, where x is an integer less than or equal to 4,
the other two are 4 and (12 - x).
ie. possible solutions are (4,4,8), (3,4,9), (2,4,10), ...
2012-08-30 10:19 pm
Consider 1,2,3,4,5,6,7,8,9,10

As median is 4, it should be at the 3rd place

mean is 5, total sum = 5 * 5 = 25

The sum of the other two number = 25 - 2 - 7 - 4 = 12

So, the other two numbers are 3 and 9.



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