A data set consisting of 3 numbers has mean of 12. The median is also 12. The least number is 5. What is the greatest number.
First you know that the mean is 12 (average) which is found by dividing the data by the total set of numbers. Thus multiply 3x12=36
The median is the middle number, so one number must be 12 and they tell you the least number is 5.
5 12 _y__
5+12+y=36
36-5-12=19=y
Therefore the greatest number is 19. To check, you can do 5+12+19 divided by 3 to get your mean which should be 12. And you can already see that the median is 12.
Hope I've helped.
To find the greatest number in the dataset, we need to use the information given.
We know that the mean of the dataset is 12, which means that the sum of the three numbers divided by 3 is equal to 12.
Let's represent the three numbers as a, b, and c.
So we have the equation: (a + b + c) / 3 = 12.
We also know that the median is 12, which means that the numbers are arranged in ascending order and the middle number is 12. Since the least number is 5, the arrangement could be 5, 12, x.
Since the median is 12 and the middle number in the arrangement is 12, this implies that the third number, x, must also be 12.
Now, we can substitute the values into the equation to find the greatest number:
(5 + 12 + x) / 3 = 12
Simplifying the equation, we get:
(17 + x) / 3 = 12
To isolate x, we multiply both sides of the equation by 3:
17 + x = 36
Now, subtract 17 from both sides to solve for x:
x = 36 - 17
x = 19
Therefore, the greatest number in the dataset is 19.