⟩ Which of the following set of numbers has the highest Standard deviation?a) 1,0,1,0,1,0 b) -1, -1, -1, -1, -1, -1 c) 1,1,1,1,1,1 d) 1,1,0, -1,0, -1
There is a mathematical formula for calculating standard deviation, but you don't need it for this question. StDev is a measurement of how much variation there is among different numbers in a series. Since choices b and c contain the same number 6 times, there is no variation. choice d also doesn't show much variation. Number 1 does vary from one point to the next, so it has variance, and therefore would have a higher StDev.
ans: choice (a)