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Which of the following is the best contextual interpretation of the standard dev

ID: 3261164 • Letter: W

Question

Which of the following is the best contextual interpretation of the standard deviation of this random variable?

Question 7 options:

The net winnings from each of many games played will be about (the standard deviation) away from the expected net winnings, on average.

The standard deviation tells about the variability in the net winnings from many games.

If you played the game several times, the net winnings from each game will be, on average, (the standard deviation) away from 0.

Your net winnings from every game played will be within (the standard deviation) of (the expected value).

Hint: Expected value is -0.08 and SD= 2.17

a

The net winnings from each of many games played will be about (the standard deviation) away from the expected net winnings, on average.

b

The standard deviation tells about the variability in the net winnings from many games.

c

If you played the game several times, the net winnings from each game will be, on average, (the standard deviation) away from 0.

d

Your net winnings from every game played will be within (the standard deviation) of (the expected value).

Explanation / Answer

Ans: b )

The standard deviation tells about the variability in the net winnings from many games.

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