Question about Standard deviation

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Greg explained that we can just look at the slope and determine the ‘size’ of the stdv. Can someone please explain to me the relationship between the slope and the stdv? i.e. how are they related?

Thank you!

I think he is just asking to look for coefficients. Standard deviation is the change in x. Multiplying x with 3 will change the value more than say x/2.
For example, suppose x is any number between 1 to 100, like mentioned in the question above, so let’s pick any random number like 30 for x. Now 30x3 = 90, so the change is 90-30 = 60. But when you take something like x/3, like in option A, it can be observed that 30/3 = 10, so the change is only of 20.
He is just saying slope, if you are getting confused with the use of term slope, then think of it as the x coefficient.
Let me know if any further questions.

Another great way to solve this problem, which I found on another forum (gre prep club):

Put x=1 and 100 and get two y value. the difference between the two y value is greatest that will be the ans.

Thanks! that was very helpful!

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