Open Middle®
Directions: Construct two sets of 9 numbers that have a mean of 6 and and MAD (mean absolute deviation) of 2.
Hint
How could you create a set of data has a mean of 6?
Without changing the mean, how could you adjust the data set to get a MAD of 2?
Without changing the mean, how could you adjust the data set to get a MAD of 2?
Answer
There are multiple answers to this problem especially if you change the domain from whole numbers to integers to rational numbers. The only constraints on a solution is the sum of the set of data must be 54 and the total absolute deviation (TAD) must be 18. One example is 3,3,3,6,6,6,9,9,9
Source: Patrick Sullivan
My answer is 666333999.
my answer is 333,666,999
9,9,9,3,3,3,6,6,6
3,3,3,6,6,6,9,9,9
mine is 3,3,3,6,6,6,9,9,9