Math 8 Question! :)

Four different positive integers have a mean (average) of 100. If the positive difference between the smallest and largest of these integers is as large as possible, determine the average of the other two integers.

Respuesta :

Answer:

2.5

Step-by-step explanation:

"Four different positive integers have a mean (average) of 100"

The total of the 4 numbers is then 4* 100 = 400

"the positive difference between the smallest and largest of these integers is as large as possible"

to get the greatest difference the first 3 numbers must be

1, 2 and 3 which totals 6

the 4th number is then 400 - 6 = 394

the four numbers are 1, 2, 3 and 394

The greatest difference is between 1 and 394

"the average of the other two integers"

(2 + 3)/2 = 2.5

The average of the other two integers is 1.5.

What is the average of the two numbers?

An integer is an whole number. An example of an integer is 20.

If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5

To learn more about mean, please check: https://brainly.com/question/25842202

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