bobobox
  • bobobox
I need help with a couple question on two way frequency tables
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
bobobox
  • bobobox
ONce someone asks I will post a screencap
jim_thompson5910
  • jim_thompson5910
go ahead
bobobox
  • bobobox
okay

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bobobox
  • bobobox
@jim_thompson5910 heres the question
jim_thompson5910
  • jim_thompson5910
ok one sec
bobobox
  • bobobox
here is the options
jim_thompson5910
  • jim_thompson5910
what are your thoughts on this?
bobobox
  • bobobox
Im looking for a working pen one moment
bobobox
  • bobobox
okay let me write down the problem
jim_thompson5910
  • jim_thompson5910
ok
bobobox
  • bobobox
sorry i just found my paper
jim_thompson5910
  • jim_thompson5910
thats fine
bobobox
  • 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?
jim_thompson5910
  • jim_thompson5910
why divide?
bobobox
  • bobobox
Well I would say so I have numbers to add together for the bottom row of my colum
jim_thompson5910
  • 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
bobobox
  • bobobox
really? Im having trouble so I watched a kahn academy video and they said to divide! Now I am really confused
jim_thompson5910
  • jim_thompson5910
you divide if they wanted RELATIVE frequencies
bobobox
  • bobobox
okay I need your help
jim_thompson5910
  • jim_thompson5910
normal frequencies are counts (whole numbers) relative frequencies are percentages, fractions or decimal form
bobobox
  • bobobox
okay what about two way frequecies
jim_thompson5910
  • jim_thompson5910
how many men like playing sports
bobobox
  • bobobox
11
jim_thompson5910
  • jim_thompson5910
so "11" goes in the "Men" row and "Playing sports" column
jim_thompson5910
  • jim_thompson5910
the other values are done in a similar way
bobobox
  • bobobox
really thats it?
jim_thompson5910
  • jim_thompson5910
yep
jim_thompson5910
  • jim_thompson5910
again they just want normal frequencies
bobobox
  • bobobox
so the answer is B
jim_thompson5910
  • jim_thompson5910
correct
jim_thompson5910
  • jim_thompson5910
notice how they have "row totals" and "column totals" do you see how those numbers were formed?
bobobox
  • bobobox
Okay can you double check my answer for the next?
jim_thompson5910
  • jim_thompson5910
sure
bobobox
  • bobobox
heres the question
bobobox
  • bobobox
I picked a
jim_thompson5910
  • jim_thompson5910
now notice how the keyword "relative frequency" comes up
jim_thompson5910
  • jim_thompson5910
it's not a simple count anymore
jim_thompson5910
  • jim_thompson5910
that "relative" changes everything
bobobox
  • bobobox
Oh do I divide with this one?
jim_thompson5910
  • jim_thompson5910
yes division will play a part now
bobobox
  • bobobox
okay let me take a crack at it. See I think I watched a video on realative
jim_thompson5910
  • jim_thompson5910
yeah it sounds like it too
bobobox
  • bobobox
I think its b!!!!!
jim_thompson5910
  • jim_thompson5910
why B?
bobobox
  • 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!
jim_thompson5910
  • 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)
jim_thompson5910
  • 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
jim_thompson5910
  • 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)
bobobox
  • bobobox
one sec
jim_thompson5910
  • jim_thompson5910
and like before, the other relative frequencies are calculated in a similar way
bobobox
  • bobobox
so you divide by 128? I divded by 46
jim_thompson5910
  • jim_thompson5910
why 46?
bobobox
  • bobobox
it was that comlum total and I listened incorrectly
bobobox
  • bobobox
oh im dividing by 128 and i get it now its D
jim_thompson5910
  • 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
jim_thompson5910
  • jim_thompson5910
yeah it's D
bobobox
  • bobobox
okay ready next one
bobobox
  • bobobox
bobobox
  • bobobox
bobobox
  • bobobox
Can you teach me what this means?
jim_thompson5910
  • jim_thompson5910
let me look it over
bobobox
  • bobobox
I want to say B for some reason because they didn't say relative
bobobox
  • bobobox
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
I'm still thinking on this one
bobobox
  • bobobox
okay take your time
jim_thompson5910
  • jim_thompson5910
ok hopefully I have the right interpretation
bobobox
  • bobobox
okay
jim_thompson5910
  • 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)
bobobox
  • bobobox
okay...
jim_thompson5910
  • jim_thompson5910
it might help to take that original table and convert it to a frequency table (not a relative frequency table)
jim_thompson5910
  • jim_thompson5910
let's say there are 100 people how many of those 100 people are male and like aspen?
bobobox
  • bobobox
22%
jim_thompson5910
  • jim_thompson5910
22% of 100 = ???
bobobox
  • bobobox
22
jim_thompson5910
  • jim_thompson5910
how many females like aspen?
bobobox
  • bobobox
16
jim_thompson5910
  • jim_thompson5910
so 22+16 = 38 people like aspen
bobobox
  • bobobox
okay aand 63 people like nyc
jim_thompson5910
  • 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?
bobobox
  • bobobox
44% of males enjoy aspen
jim_thompson5910
  • jim_thompson5910
ignore the other location
bobobox
  • bobobox
okay,
bobobox
  • 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
jim_thompson5910
  • jim_thompson5910
22 males like aspen 38 people total like aspen 22/38 = ??
bobobox
  • bobobox
0.57
jim_thompson5910
  • jim_thompson5910
22/38 = 0.57894736842106 which rounds to 0.58
jim_thompson5910
  • jim_thompson5910
so 58% of the people who like aspen are male
bobobox
  • bobobox
okay
jim_thompson5910
  • jim_thompson5910
fill in the blank ____ percent of the people who like aspen are female
bobobox
  • bobobox
42%
jim_thompson5910
  • jim_thompson5910
yes
bobobox
  • bobobox
is it A?!?!?!?! eeeeeeeeeee
jim_thompson5910
  • jim_thompson5910
yeah
jim_thompson5910
  • jim_thompson5910
that's assuming my interpretation was correct
bobobox
  • bobobox
okay next one lol so srry but I am learning a ton
bobobox
  • bobobox
bobobox
  • bobobox
that was the question and options
jim_thompson5910
  • jim_thompson5910
your thoughts?
bobobox
  • bobobox
no clue I need to learn that fancy vocabulary
jim_thompson5910
  • jim_thompson5910
so all of the terms are unfamiliar?
bobobox
  • bobobox
yes
bobobox
  • bobobox
if you tell me what each word means I might be able to make an educated guess
jim_thompson5910
  • jim_thompson5910
Ok let's make up an example
jim_thompson5910
  • jim_thompson5910
Let's say we have males and females and let's say we want to know if they like coke or pepsi I'm just going to randomly make up data Males: 12 like coke, 10 like pepsi Females 8 like coke, 13 like pepsi
bobobox
  • bobobox
okay I get that so far
jim_thompson5910
  • jim_thompson5910
|dw:1435452321297:dw|
jim_thompson5910
  • jim_thompson5910
go ahead and fill out the table (click the pencil to draw on my drawing)
bobobox
  • bobobox
|dw:1435452206385:dw|
jim_thompson5910
  • jim_thompson5910
the 86 is incorrect, but everything else looks good
bobobox
  • bobobox
|dw:1435452344153:dw|
jim_thompson5910
  • jim_thompson5910
better
jim_thompson5910
  • jim_thompson5910
you only add either the row totals OR the column totals (pick one)
jim_thompson5910
  • jim_thompson5910
the numbers I'm circling are called `joint frequencies` |dw:1435452635430:dw|
bobobox
  • bobobox
okay
jim_thompson5910
  • jim_thompson5910
they are frequencies (whole numbers, counts of something) the "joint" means the frequencies represent 2 different things. For instance, the 12 represents "male" and "coke" at the same time think of "joint" as in "joint bank account" (2 or more people own/access it) or as in "joints in your body" (connecting 2 bones together)
bobobox
  • bobobox
okay joints=2+
jim_thompson5910
  • jim_thompson5910
now if you divide every value by the total number of people (43), you will get this |dw:1435452804260:dw|
bobobox
  • bobobox
okay i see how you got that
jim_thompson5910
  • jim_thompson5910
these circled values are called `joint relative frequencies` |dw:1435453025373:dw| they are basically `joint frequencies` but divided by the total (in this case 43)
jim_thompson5910
  • jim_thompson5910
for example, 0.28 is a `joint relative frequency` it means "28% of the entire group is male and likes coke"
bobobox
  • bobobox
okay
jim_thompson5910
  • jim_thompson5910
notice how 43*.28 = 12.04 which is pretty close to the original 12
bobobox
  • bobobox
yeah you just rounded
jim_thompson5910
  • jim_thompson5910
ok more terms
bobobox
  • bobobox
okay throw them at me
jim_thompson5910
  • jim_thompson5910
these are marginal frequencies |dw:1435453144401:dw|
jim_thompson5910
  • jim_thompson5910
they are in the margins (off to the side, think margins on a paper) and they are frequencies (whole number counts)
bobobox
  • bobobox
wait does frequency=whole number counts=?
jim_thompson5910
  • jim_thompson5910
frequency is just a fancy way of saying how many times it happens
jim_thompson5910
  • jim_thompson5910
so yeah it's a count of something
bobobox
  • bobobox
okay sorry continue
jim_thompson5910
  • jim_thompson5910
marginal relative frequencies are basically the same as joint relative frequencies just now you focus on the margins |dw:1435453312087:dw|
bobobox
  • bobobox
okay @jim_thompson5910 sorry if I am a little spotty dont worry I am still here
jim_thompson5910
  • jim_thompson5910
its fine
bobobox
  • bobobox
okay
bobobox
  • bobobox
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yes?
bobobox
  • bobobox
so I m thinking of the answer to the actual question now
jim_thompson5910
  • jim_thompson5910
what are you thinking so far
bobobox
  • bobobox
wait relative=?
jim_thompson5910
  • jim_thompson5910
it means a piece of, or percentage of
jim_thompson5910
  • jim_thompson5910
it's like a proportion
bobobox
  • bobobox
okay I am making an educated guess here.. is it B? since its a decimal
jim_thompson5910
  • jim_thompson5910
and why is it not D?
bobobox
  • bobobox
hmmm... I think it's B becuase it represents two things, female students and dancing, but then again it could be marginal
jim_thompson5910
  • jim_thompson5910
is that value in the margins?
bobobox
  • bobobox
no
bobobox
  • bobobox
the colum next to it is the total value of the margin
jim_thompson5910
  • jim_thompson5910
so it can't be a marginal relative frequency
bobobox
  • bobobox
okay so my educated guess was right!
jim_thompson5910
  • jim_thompson5910
yes
bobobox
  • bobobox
here is the next one you are really helping me
bobobox
  • bobobox
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
post in a new question. I'm lagging really badly since there's so much on this post

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