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OpenStudy (anonymous):
The table below shows the number of hours some business people in two states spend in meetings each week:
State A 21 23 24 22 24 25 23 23 22
State B 24 22 20 23 23 50 20 46 21
Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)
OpenStudy (anonymous):
@phi
OpenStudy (texaschic101):
i will do state a...u can do b....put numbers in increasing order...
21 , 22 , 22 , 23, 23 ,23 , 24, 24, 25
Q2...middle number = 23
Q1..middle number of numbers before Q2 = (22 + 22) / 2 = 44/2 = 22
Q3..middle number of numbers after Q2 = (24 + 24)/2 = 48/2 = 24
minimum...lowest number = 21
maximum...highest number = 25
interquartile range = Q3 - Q1 = 24 - 22 = 2
OpenStudy (anonymous):
okay give me a second
OpenStudy (texaschic101):
if there is 2 middle numbers...add them and divide by 2
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OpenStudy (anonymous):
IQR=1.5
OpenStudy (anonymous):
for state b
OpenStudy (anonymous):
right?
OpenStudy (anonymous):
@texaschic101
OpenStudy (texaschic101):
no..i am getting 14.5
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OpenStudy (anonymous):
oh okay then
OpenStudy (texaschic101):
state b
Q1 = 20.5
Q2 = 23
Q3 = 35
min = 20
max = 50
IQR = 14.5
OpenStudy (anonymous):
is that all we have to do?
OpenStudy (anonymous):
nope never mind
OpenStudy (anonymous):
Part B: Are the box plots symmetric? Justify your answer. (4 points)
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OpenStudy (anonymous):
what does this mean?
OpenStudy (texaschic101):
i think it is asking if they look alike...i say no
OpenStudy (anonymous):
why?
OpenStudy (texaschic101):
they may have the same middle number, but their IQR's are much different