There are infinitely many such sets:
{1, 2, 4, 4, 4}, {1.1, 2, 3.9, 4, 4}, {1.12, 2, 3.88, 4, 4} are some examples.
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1, 2, 2, 3, 4, 4, 5, 7, 8 Mean: 4 Median: 4 Mode: 2 and 4
3, 5, and 7. THIS BETTER NOT BE FOR YOUR HOMEWORK!
To find the five numbers that have a mode of 3 and a mean of 6, we need to consider the properties of mode and mean. Since the mode is 3, it means that 3 appears most frequently in the data set. To achieve a mean of 6, the sum of all five numbers should be 30 (6 multiplied by 5). One possible set of numbers that satisfies these conditions is 3, 3, 3, 9, and 12.
The mode is the most common number in a list of numbers. If two numbers are tied then there is two modes. If there is no number occurring the most then there is 'no mode'. The mean of a set of numbers is found by adding up all the numbers and then dividing by how many number there are. E.g consider the set of numbers: 4, 5, 5, 10. The mode is the most common number which is 5. The mean is found by (4 + 5 + 5 + 10) / 4 = 24/4 = 6.
A set of twelve numbers, with a mean value of 45/6, a median of 3, and a mode of 3.