Tuesday

September 16, 2014

September 16, 2014

Posted by **Happyface** on Sunday, August 31, 2008 at 10:14am.

The mean=8.

The median=6.

The range=10.

What are some of the sets of numbers that would work?

Thank you.

- Math -
**David Q**, Sunday, August 31, 2008 at 10:24amYou 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 -
**Happyface**, Sunday, August 31, 2008 at 12:48pmis it 11?

- Math -
- Math -
**David Q**, Sunday, August 31, 2008 at 1:28pmYou 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!

**Answer this Question**

**Related Questions**

AP Statistics (math) - Find a set of numbers that will satisfy the following ...

math check please - Find the median of the following set of numbers 45,21,54,22,...

math 115 - i am trying to find this answer there are 3 questions. 1. micheal ...

math - 1. Find the median of the following set of numbers. = B 45, 21, 54, 22, ...

math pls check - find mean,median, mode, range: for folloiwng numbers: 5, -2, 27...

algebra - find five numbers with a mean of 16, a median of 15 a mode of 21 and a...

math - 14.what value of n will result in a mean if 31 15.what value of n will ...

math - What is findind a five number summary of each ser of numbers 7,7,5,4,1,9,...

Math - Could someone help me with this question? Make up a set of 7 numbers ...

4th grade math - How do you find out the median in a set of numbers? (Median is ...