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## 5 Numbers

Posted by Karl Sharman on January 6, 2011 – 3:48 pm

For a set of 5 whole numbers, the mean is 4, the mode is 1 and the median is 5. What are the 5 numbers?

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This post is under “Tom” and has 9 respond so far.
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1. 1. DP Said：

1,1,5,6,7

2. 2. Nathan Said：

1 1 5 6 7

3. 3. Chris Said：

I agree. The mode is the most common number, and is only defined if there is a unique choice for it. The median is the middle number. The mean is the the arithmetic average value.

Let the numbers be a ≤ b ≤ c ≤ d ≤ e. Immediately see that c = 5. The mode
(1+1+5+d+e)/5 = 4 => d+e = 13. d and e must be > 5 and so d = 6 and e = 7.

4. 4. Chris Said：

…aaargh. You can have more than one mode. Fortunately there is only one this time. Also if there are an even number of values, the median is the arithmetic average of the middle two.

5. 5. buffon Said：

numbers are 1,1,5,6,7. mode being 1 and median 5 was a complete give away on the first 3 numbers. to find the remaining ….mean of 5 nos. 4 so sum being 20…remainign 2 numbers need to hv sum 13. hence 6,7

6. 6. Marissa Said：

The numbers are 1,1,5,6, & 7. Thanks for the teaser. That is probably one of the only ones I could understand. lol.

7. 7. Bree Said：

1,1,5,6,7… I got that in less than 10 seconds, it seemed too easy though.

8. 8. Karl Sharman Said：

Sorry it was so easy Bree – Chris and Buffon explained it. I placed the question to see if anyone went with average instead of median.

9. 9. aditya Said：

1,1,5,6&7

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