Need help in a math question (1 Viewer)

cossine

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B) As the upper quartile is 76 and lower quartile 64
 

beetree1

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A because he got in between meaning not including the min and max scores
 

imaiyuki

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By "between the lower and upper quartiles" it means Michael scored in the middle 50%, however 64-76 represents the middle 68%, therefore his actual range is a little smaller, thus A
 

cossine

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that's what i though as well but the actual answer is A
I think I got it now. The lower quartile is referring to 25% (as in Q1 from box plot) and the upper quartile is referring to 75%(Q3). As Imaiyuki mentioned 1 standard deviation within the mean is approximately 68% of the data.

Divide by 2 => 34% of data is above the mean and 34% below the mean. 34-25 = 9. So 1 standard deviation encompasses 9% more of the population on each side of the quartile.
 

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