Question

In: Statistics and Probability

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on...

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. I have tried to find the 1st and 3rd quartiles and got 12.5 for the first and 31.5 for the 3rd but my homework thing keeps saying that is wrong, I dont know what to do.

20 36    22    28    5    11    29    32    
11 16    15    10    31    38    36    26    
32 23    19    7    7    10    32    14    
28   10    26    29    18    35    33    15

Solutions

Expert Solution

rearranging the data into ascending order,

5,7,7,10,10,10,11,11,14,15,15,16,18,19,20,22,23,26,28,28,29,29,31,32,32,32,33,35,36,36,38

The first quartile is the median of the bottom half of the numbers.

So, the bottom half is

5   7   7   10   10   10   11   11   14   15   15   16   18   19   20   22   

The median of these numbers is (8th term+ 9th term)/2 = (11+14)/2 = 12.5.

The third quartile is the median of the upper half of the numbers.

So, the upper half is

23   26   26   28   28   29   29   31   32   32   32   33   35   36   36   38   

The median of these numbers is (8th term +9th term)/2=(31+32)/2 = 31.5


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