(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There are 10 observations.

(a) Suppose the IQR is 8. Is it possible that the standard deviation is 1?

(b) Suppose the standard deviation is 8. Is it possible that the IQR is 1?

2. Relevant equations

IQR = R_{3}- R_{1}

3. The attempt at a solution

My argument is that (a) is impossible because the variation of the middle fifty percent of the data (IQR) cannot be greater than the variation of the entire data (standard deviation).

However, I'm unsure of whether I have to use the fact that there are 10 observations..

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# Homework Help: Standard deviation and interquartile range

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