posted by .

Use the following clues to find a set of 5 numbers.
The mean=8.
The median=6.
The range=10.
What are some of the sets of numbers that would work?
Thank you.

  • Math -

    You need to find five numbers for which the mean is 8, the middle one is 6 and the difference between the biggest and the smallest one is 10. Let's guess: try some numbers between 4 and 14, to get the range right. So we know what three of the five numbers are going to be:

    { 4, X, 6, Y, 14 }

    Suppose X was 5: that still makes the median=6. What would Y have to be to get the mean right?

  • Math -

    is it 11?

  • Math -

    You got it. Now see if you can invent a few more sets that also work, as asked for by the final part of the question. Obviously you'll need to have the median somewhere between the lower and upper limits that define the range, and you also won't be able to make the numbers too skewed within that range, otherwise the final point will end up having to be outside the range, which is impossible. For example, you won't be able to find a value for Y in the following sequence that will give you a mean of 8, because it would need to be higher than 10:

    { 0, 1, 6, Y, 10 }

    It's probably possible to define a set of rules that will specify exactly the limits of all possible viable sets of numbers, but that's probably outside the scope of the question, so all that's required for now is a few more examples. As I did earlier, guess a few pairs of limits, and see whether you can find a fifth point within the range to give a mean of 8.

    Have fun!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    find five numbers with a mean of 16, a median of 15 a mode of 21 and a range of 11. hi Anna i hope this helps median is the middle number . mean is all the numbers added up then divided by the amount of numbers. mode is the number …
  2. Math

    Could someone help me with this question?
  3. math check please

    Find the median of the following set of numbers 45,21,54,22,65,61 Answer 49 1/2 2. find the mean and the median of the set of grades 95,75,76,86,96,71,68,81,95,76,69,82,93,88,94 Answer mean 83 median 82 3. find the mode of the following …
  4. math

    14.what value of n will result in a mean if 31 15.what value of n will result in a median of 23 15.what value of a will result in a range of 84 14,46,19,10,39,22,24,77,n Refresh your memory about the defnition of median, mode and range …
  5. math

    What is findind a five number summary of each ser of numbers 7,7,5,4,1,9,8,8,8,5,2 and range of the same numbers please I only see one set of numbers. Why do you refer to "each" set?
  6. math 115

    i am trying to find this answer there are 3 questions. 1. micheal kept the following records of her phone bills for 12 months: $47, $42, $56, $46, $63, $49, $47, $40, $58, $63, $51, $62 Find the mean and median of michael's monthly …
  7. math

    1. Find the median of the following set of numbers. = B 45, 21, 54, 22, 65, 61 A) 54 B)49 1/2 C) 45 D)48 1/2 2. The following scores were recorded on a 100-point examination: 95, 75, 76, 86, 96, 71, 68, 81, 95, 76, 69, 82, 93, 88, …
  8. AP Statistics (math)

    Find a set of numbers that will satisfy the following conditions: - the median of a set of 20 numbers is 24. - the range is 42. - to the nearest whole number the mean is 24. - no more than three numbers are the same.
  9. math pls check

    find mean,median, mode, range: for folloiwng numbers: 5, -2, 27, -6, 0 , 2, 11, 4, -2, 3 i got : mean: 4.3 median: 2.5 mode: no mode range is it; 27 -(-6)= 33 right?
  10. math

    There are 5 numbers in a set of data. There are no repeated numbers. Which measure of data must represent a number in the set that is greater than 2 of the numbers in the set and less than 2 of the numbers?

More Similar Questions