The mean of a set of data is 90. five of the six data points are given as 92, 201, 54, 43, and 13. what is the value of the sixth point?

31
86
107
137

The first step is to multiply 90 x 6 = 540, this is because the data should have 6 terms and since the mean is 90 all terms should add to 540, then add the terms you already have 92 +201+54+43+13= 403 but you need to have 540 so the last number is the difference 540 - 403 = 137

Where is the problem

No a triangle cannot be formed because when you add the two smallest number together (which would be 11) the have to be bigger than the number it is "against" ( which would be 12)