the mode of 5 numbers is 1, the median is 5 and the mean is 4. what are the numbers
Make 5 blanks for them to be filled in left to right, smallest to largest.
_,_,_,_,_
the median is 5
Since there are an odd number of numbers, the median is the middle one
So we have
_,_,5,_,_
the mode of 5 numbers is 1,
The mode is the most number of numbers. So there is be more than one
1. And since 1 is less than 5, both the numbers less than 5 have to
be 1's
1,1,5,_,_
The remaining two numbers cannot be equal, for if they were then 1
wouldn't be the mode. Since the mean is 4, the numbers must have sum
5*4 or 20. The three we already have have sum 7, so the other two must
have sum 13.
You didn't say they were all whole numbers. If you had there would
be just one answer, this one:
1,1,5,6,7
That may have been what was meant, but since it was not stated, we could
have any two positive numbers greater than 5 in those blanks whose sum is
13. For instance, we could have any of these:
1,1,5,5.1,7.9
1,1,5,5.2,7.8
1,1,5,5.3,7.7
1,1,5,5.4,7.6
1,1,5,5.5,7.5
1,1,5,5.6,7.4
1,1,5,5.7,7.3
1,1,5,5.8,7.2
1,1,5,5.9,7.1
1,1,5,6.0,7.0
1,1,5,6.1,6.9
1,1,5,6.2,6.8
1,1,5,6.3,6.7
1,1,5,6.4,6.6
and infinitely many more possibilities for we could
go to 2 decimal places, or any number of decimal places.
For example:
1,1,5,6.2873,6.7127
would be solution. You meant to say "integer" or "whole number",
right?
Edwin