Which of the following set of numbers has the highest Standard deviation? read on.....?

Question

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


Only one choice is correct. Please explain how you solved this with formula. Thanks!

Answer 1

Please do your own homework......

Good Luck but work hard !

Answer 2

d. And this is something that you should be able to recognize intuitively. Think about the meaning of the standard deviation, and how it relates to the spread of the data. If you are still having trouble, you can apply the formula yourself (σ=√(∑((x-μ)²) / n)). The standard deviation of a is 1/2, the standard deviation of b is 0, the standard deviation of c is 0, and the standard deviation of d is 2/√6.

Answer 3

"A" has a range of 1 (0,1) .... b&c has a range of zero (all elements have the same value / no deviation).... d has a range of 2 (from -1 to 1) and therefore has the largest SD.

if all the elements are the same ... the average is equal to the mean ... no deviation

the larger the range or spread from the mean...the larger the SD because it measures the distance from the mean by squaring the difference between the two numbers (mean - value)^2

hope that mkes sence

Answer 4

You get the highest and the lowest number from each group and you subtract them:

For a: 1 - 0 = 1
For b: -1 - (-1) = -1 + 1 = 0
For c: 1 - 1 = 0
For d: 1 - (-1) = 1 + 1 = 2

The highest result being 2, you conclude that the answer is d)

Answer 5

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Answer 6

deviation? .... from starting point to finishing point

so "D" has a difference of 2 going from 1 to minus 1