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make up a set of at least twelve numbers that have the following landmarks. maximum: 8, range: 6, mode: 6, median:5Asked by Anonymous
make up a set of at least twelve numbers that have the following landmarks maximum 8 mode 6 range 6 median 5
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Answered by
Steve
You know that the sets of numbers have to range from 2 to 8 to satisfy the max and range requirements.
Half of them must be greater than 5 and half must be less than 5.
6 must occur most frequently.
So, starting with a small set, we could start out with
2 5 6 6 8
Since there are 3 numbers greater than 5, we must have 3 less than 5. The easiest way to do that would be just
2 3 4 5 6 6 8
Now, you can easily set up other starting arrangements, using different quantities of numbers. (and they don't have to be integers, either)
2 3 3 4 4 5 5 6 6 6 7 8
...
Half of them must be greater than 5 and half must be less than 5.
6 must occur most frequently.
So, starting with a small set, we could start out with
2 5 6 6 8
Since there are 3 numbers greater than 5, we must have 3 less than 5. The easiest way to do that would be just
2 3 4 5 6 6 8
Now, you can easily set up other starting arrangements, using different quantities of numbers. (and they don't have to be integers, either)
2 3 3 4 4 5 5 6 6 6 7 8
...
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