Question

An office manager recorded the number of reams of paper that were used for a printer each month for six months: 15, 10, 25, 19, 10, 17a. Identify the five-number summary of the data set.
b. Draw the box-and-whisker plot.

c. Compute the standard deviation. Show all your work.
Please help I'm so confused right now:(

Answer 1

A) 
10, 15, 17, 19, 25 
Min: 10 
Median: 17 
Max: 25 

lower Quartile: (10+15)/2 = 12.5 
upper Quartile: (19+25)/2 = 22 

b) 
http://imageshack.us/photo/my-images/22/... 

c) 
Mean: (10 + 15 + 17 + 19 + 25)/5 = 17.2 

[ ( 17.2 - 10 )^2 + ( 17.2 - 15 )^2 + ( 17.2 - 17 )^2 + ( 17.2 - 19 )^2 + ( 17.2 - 25 )^2 ] / 5 = 24.16 

√( 24.16 ) ≈ 4.92 
-------------- 
4) 

[ 4. . .-2 . . . -12 ------> 3R1 - 4R2 ----> R2 
3. . .-1 . . . -3 ] 

[ 4. . .-2 . . . -12 ------> R1 - R2 ----> R1 
0. . .-2 . . . -24 ] 

[ 4. . ..0 . . . .12 ------> R1/4 ----> R1 
0. . .-2 . . . -24 ] R2/-2 ----> R2 

[ 1. . ..0 . . . .3 
0. . .1 . . . 12 ] 

x = 3 & y = 12 

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