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Give the five-number summary for the distribution 

7, 20, 26, 17, 26, 32, 45, 18, 43, 26, 33, 34, 48, 43, 52

 Oct 28, 2015
 #1
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First thing you need to do is sort the data.  Doing this we get

 

7,17,18,20,26,26,26,32,33,34,43,43,45,48,52

 

By eye we can pick the minimum and maximum as 7 and 52.  These are the 1st and 5th numbers.

 

Also by eye we can pick the median as 32, this is the 3rd number.

 

Then we take the sequence less than the median which is 7,17,18,20,26,26,26 and find it's median which is 20.

 

This is the 2nd number.

 

Finally we take the sequence greater than the median 33, 34, 43, 43, 45, 48, 52, and find the median of this

 

which is 43.  This is our 4th number.

 

So our 5 number summary is

 

7, 20, 32, 43, 52

 Oct 29, 2015

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