If i have a data set that overall is symmetric and i add a data point that is very high, what will happen to the mean?

Step-by-step explanation:

Remember that the mean is a central value that shows a representation of all data set. The mean is the value to which all data set is showing a tendency.

So, if we have a symmetric data set, but we add a very high value, that will affect the mean, making it higher, because the mean is sensible to these changes.

Therefore, the mean will also increase, because the sum of all elements is higher.

3

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct