According to the Ti 83:
MAD for Dataset 2 is 1.4444
And the ratio is 5/4
Answer: any number that’s not already used
Step-by-step explanation: It could be any number as long as it hasn’t already been used in that data set. Mode is the most occurring value, and there’s no mode when all numbers are different. Hope this helped;)
The square of a binomial is a pattern you would do well to remember.
.. (x +y)^2 = x^2 +2xy +y^2
Your expression has x^2 = 25a^2, so x = 5a. It also has y^2 = (b^2)/4, so y = b/2.
then the middle term is
.. 2xy = 2(5a)(b/2) = 5ab
The trinomial is
.. 25a^2 +5ab +(1/4)b^2 = (5a +b/2)^2