Answer: A = {2, 6 ,6 , 6 , 7 ,9}
Explanation:
As the mode is 3, we must have a number that repeats 3 times.
As the median is 6, the number in the middle must be 6
then with this we can construct a set with 3 times the number 6.
Now, knowing that the range is 7. the difference between the larger number and the smaller number is 7, so suppose the larger number is 9 and the smaller number is 2 (9 - 2 = 7)
Then the numbers in our set are:
2 6 6 6 9
lets find the last one.
We know that the mean is 6, then we have
6 = (1/6)*( 2 + 6 + 6 + 6 + 9 + x) = (1/6)(29 + x)
6*6 = 29 + x
36 - 29 = x
x = 7
Then our set is:
A = {2, 6 ,6 , 6 , 7 ,9}
Where the number in the middle is 6, the mean is 6, the mode is 3 and the range is 7