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Which of the following distribution of numbers has the great

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by EconomistGMATTutor » Sat Nov 04, 2017 3:15 pm
Hello.

Let's take a look at your question.

We first need to calculate the mean value of each set of numbers:

$$M_A=0;\ M_B=0;\ M_C=5;\ M_D=2;\ M_E=2.$$

Now, we have to calculate the standard deviation of each set of numbers:

$$SD_A=\sqrt{7};\ SD_B=\sqrt{\frac{10}{3}};\ SD_C=2;\ SD_D=\sqrt{\frac{14}{3}}\ and\ SD_E=\ 2.$$

So, set A has the greatest standard deviation.

The correct option is A.

You can discard option D because $$7>14/3,\ so\ \sqrt{7}>\sqrt{\frac{14}{3}}.$$

I hope this explanation can help you.

Let me know if you have another doubt.

I'm available if you'd like a follow up.
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