I need help with a couple question on two way frequency tables
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OpenStudy (bobobox):
ONce someone asks I will post a screencap
jimthompson5910 (jim_thompson5910):
go ahead
OpenStudy (bobobox):
okay
OpenStudy (bobobox):
@jim_thompson5910 heres the question
jimthompson5910 (jim_thompson5910):
ok one sec
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OpenStudy (bobobox):
here is the options
jimthompson5910 (jim_thompson5910):
what are your thoughts on this?
OpenStudy (bobobox):
Im looking for a working pen one moment
OpenStudy (bobobox):
okay let me write down the problem
jimthompson5910 (jim_thompson5910):
ok
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OpenStudy (bobobox):
sorry i just found my paper
jimthompson5910 (jim_thompson5910):
thats fine
OpenStudy (bobobox):
Okay so I think I need to look at the comlums and ad the two row in each colum together to see what number I must divde by?
jimthompson5910 (jim_thompson5910):
why divide?
OpenStudy (bobobox):
Well I would say so I have numbers to add together for the bottom row of my colum
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jimthompson5910 (jim_thompson5910):
all they want you to do is rearrange the given info into a table
then add up the rows to get the row totals
afterwards, add up the columns to get the column totals
no division is done at all
OpenStudy (bobobox):
really?
Im having trouble so I watched a kahn academy video and they said to divide! Now I am really confused
jimthompson5910 (jim_thompson5910):
you divide if they wanted RELATIVE frequencies
OpenStudy (bobobox):
okay I need your help
jimthompson5910 (jim_thompson5910):
normal frequencies are counts (whole numbers)
relative frequencies are percentages, fractions or decimal form
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OpenStudy (bobobox):
okay what about two way frequecies
jimthompson5910 (jim_thompson5910):
how many men like playing sports
OpenStudy (bobobox):
11
jimthompson5910 (jim_thompson5910):
so "11" goes in the "Men" row and "Playing sports" column
jimthompson5910 (jim_thompson5910):
the other values are done in a similar way
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OpenStudy (bobobox):
really thats it?
jimthompson5910 (jim_thompson5910):
yep
jimthompson5910 (jim_thompson5910):
again they just want normal frequencies
OpenStudy (bobobox):
so the answer is B
jimthompson5910 (jim_thompson5910):
correct
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jimthompson5910 (jim_thompson5910):
notice how they have "row totals" and "column totals"
do you see how those numbers were formed?
OpenStudy (bobobox):
Okay can you double check my answer for the next?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (bobobox):
heres the question
OpenStudy (bobobox):
I picked a
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jimthompson5910 (jim_thompson5910):
now notice how the keyword "relative frequency" comes up
jimthompson5910 (jim_thompson5910):
it's not a simple count anymore
jimthompson5910 (jim_thompson5910):
that "relative" changes everything
OpenStudy (bobobox):
Oh do I divide with this one?
jimthompson5910 (jim_thompson5910):
yes division will play a part now
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OpenStudy (bobobox):
okay let me take a crack at it. See I think I watched a video on realative
jimthompson5910 (jim_thompson5910):
yeah it sounds like it too
OpenStudy (bobobox):
I think its b!!!!!
jimthompson5910 (jim_thompson5910):
why B?
OpenStudy (bobobox):
because I was dividing the number in the colum/row by the colum total In the chart I made with they numbers I was given and got the same answers in the chart B!
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jimthompson5910 (jim_thompson5910):
Notice there are 26 people who are in high school and like action
this is out of 128 people total (see table in choice A or you can add up all the numbers)
jimthompson5910 (jim_thompson5910):
so the relative frequency of those who are in high school and love action movies is 26/128 = 0.203125
that rounds to 0.20
jimthompson5910 (jim_thompson5910):
in a normal frequency table, "26" goes in the "high school" and "action" column
in a relative frequency table, "0.20" goes in the "high school" and "action" column (since 26/128 is roughly 0.20)
OpenStudy (bobobox):
one sec
jimthompson5910 (jim_thompson5910):
and like before, the other relative frequencies are calculated in a similar way
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OpenStudy (bobobox):
so you divide by 128? I divded by 46
jimthompson5910 (jim_thompson5910):
why 46?
OpenStudy (bobobox):
it was that comlum total and I listened incorrectly
OpenStudy (bobobox):
oh im dividing by 128 and i get it now
its D
jimthompson5910 (jim_thompson5910):
well when they mean "relative" without specifying anything further, they mean relative to the entire group
so 26/128 = 0.20 roughly means that approximately 20% of the entire group is in high school and likes action movies
if it said "relative to action movies" then it would work. Or if it said "of those who like action movies, what is the relative frequency of those in high school?" then it would work
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jimthompson5910 (jim_thompson5910):
yeah it's D
OpenStudy (bobobox):
okay ready next one
OpenStudy (bobobox):
OpenStudy (bobobox):
question
OpenStudy (bobobox):
Can you teach me what this means?
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jimthompson5910 (jim_thompson5910):
let me look it over
OpenStudy (bobobox):
I want to say B for some reason because they didn't say relative
OpenStudy (bobobox):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
I'm still thinking on this one
OpenStudy (bobobox):
okay take your time
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jimthompson5910 (jim_thompson5910):
ok hopefully I have the right interpretation
OpenStudy (bobobox):
okay
jimthompson5910 (jim_thompson5910):
they ask "Which of the following is a two-way conditional frequency table for gender?"
so in a sense, they want to compare the results between genders (to see which percent like Aspen for instance)
OpenStudy (bobobox):
okay...
jimthompson5910 (jim_thompson5910):
it might help to take that original table and convert it to a frequency table (not a relative frequency table)
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jimthompson5910 (jim_thompson5910):
let's say there are 100 people
how many of those 100 people are male and like aspen?
OpenStudy (bobobox):
22%
jimthompson5910 (jim_thompson5910):
22% of 100 = ???
OpenStudy (bobobox):
22
jimthompson5910 (jim_thompson5910):
how many females like aspen?
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OpenStudy (bobobox):
16
jimthompson5910 (jim_thompson5910):
so 22+16 = 38 people like aspen
OpenStudy (bobobox):
okay aand 63 people like nyc
jimthompson5910 (jim_thompson5910):
22 males like aspen
38 people total like aspen
if you just focus on aspen (ignore the other location), what is the percentage of males who like aspen?
OpenStudy (bobobox):
44% of males enjoy aspen
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jimthompson5910 (jim_thompson5910):
ignore the other location
OpenStudy (bobobox):
okay,
OpenStudy (bobobox):
so is it still 22 or is it 44 i multiplied by 2 because it would make sense if there was one hundred men 44 enjoy aspen
jimthompson5910 (jim_thompson5910):
22 males like aspen
38 people total like aspen
22/38 = ??
OpenStudy (bobobox):
0.57
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jimthompson5910 (jim_thompson5910):
22/38 = 0.57894736842106
which rounds to 0.58
jimthompson5910 (jim_thompson5910):
so 58% of the people who like aspen are male
OpenStudy (bobobox):
okay
jimthompson5910 (jim_thompson5910):
fill in the blank
____ percent of the people who like aspen are female
OpenStudy (bobobox):
42%
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