I need help with a couple question on two way frequency tables

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- bobobox

I need help with a couple question on two way frequency tables

- katieb

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- bobobox

ONce someone asks I will post a screencap

- jim_thompson5910

go ahead

- bobobox

okay

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## More answers

- bobobox

@jim_thompson5910 heres the question

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- jim_thompson5910

ok one sec

- bobobox

here is the options

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- jim_thompson5910

what are your thoughts on this?

- bobobox

Im looking for a working pen one moment

- bobobox

okay let me write down the problem

- jim_thompson5910

ok

- bobobox

sorry i just found my paper

- jim_thompson5910

thats fine

- 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

why divide?

- bobobox

Well I would say so I have numbers to add together for the bottom row of my colum

- 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

really?
Im having trouble so I watched a kahn academy video and they said to divide! Now I am really confused

- jim_thompson5910

you divide if they wanted RELATIVE frequencies

- bobobox

okay I need your help

- jim_thompson5910

normal frequencies are counts (whole numbers)
relative frequencies are percentages, fractions or decimal form

- bobobox

okay what about two way frequecies

- jim_thompson5910

how many men like playing sports

- bobobox

11

- jim_thompson5910

so "11" goes in the "Men" row and "Playing sports" column

- jim_thompson5910

the other values are done in a similar way

- bobobox

really thats it?

- jim_thompson5910

yep

- jim_thompson5910

again they just want normal frequencies

- bobobox

so the answer is B

- jim_thompson5910

correct

- jim_thompson5910

notice how they have "row totals" and "column totals"
do you see how those numbers were formed?

- bobobox

Okay can you double check my answer for the next?

- jim_thompson5910

sure

- bobobox

heres the question

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- bobobox

I picked a

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- jim_thompson5910

now notice how the keyword "relative frequency" comes up

- jim_thompson5910

it's not a simple count anymore

- jim_thompson5910

that "relative" changes everything

- bobobox

Oh do I divide with this one?

- jim_thompson5910

yes division will play a part now

- bobobox

okay let me take a crack at it. See I think I watched a video on realative

- jim_thompson5910

yeah it sounds like it too

- bobobox

I think its b!!!!!

- jim_thompson5910

why B?

- 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

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

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

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

one sec

- jim_thompson5910

and like before, the other relative frequencies are calculated in a similar way

- bobobox

so you divide by 128? I divded by 46

- jim_thompson5910

why 46?

- bobobox

it was that comlum total and I listened incorrectly

- bobobox

oh im dividing by 128 and i get it now
its D

- 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

yeah it's D

- bobobox

okay ready next one

- bobobox

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- bobobox

question

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- bobobox

Can you teach me what this means?

- jim_thompson5910

let me look it over

- bobobox

I want to say B for some reason because they didn't say relative

- bobobox

- jim_thompson5910

I'm still thinking on this one

- bobobox

okay take your time

- jim_thompson5910

ok hopefully I have the right interpretation

- bobobox

okay

- 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

okay...

- jim_thompson5910

it might help to take that original table and convert it to a frequency table (not a relative frequency table)

- jim_thompson5910

let's say there are 100 people
how many of those 100 people are male and like aspen?

- bobobox

22%

- jim_thompson5910

22% of 100 = ???

- bobobox

22

- jim_thompson5910

how many females like aspen?

- bobobox

16

- jim_thompson5910

so 22+16 = 38 people like aspen

- bobobox

okay aand 63 people like nyc

- 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

44% of males enjoy aspen

- jim_thompson5910

ignore the other location

- bobobox

okay,

- 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

22 males like aspen
38 people total like aspen
22/38 = ??

- bobobox

0.57

- jim_thompson5910

22/38 = 0.57894736842106
which rounds to 0.58

- jim_thompson5910

so 58% of the people who like aspen are male

- bobobox

okay

- jim_thompson5910

fill in the blank
____ percent of the people who like aspen are female

- bobobox

42%

- jim_thompson5910

yes

- bobobox

is it A?!?!?!?! eeeeeeeeeee

- jim_thompson5910

yeah

- jim_thompson5910

that's assuming my interpretation was correct

- bobobox

okay next one lol so srry but I am learning a ton

- bobobox

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- bobobox

that was the question and options

- jim_thompson5910

your thoughts?

- bobobox

no clue I need to learn that fancy vocabulary

- jim_thompson5910

so all of the terms are unfamiliar?

- bobobox

yes

- bobobox

if you tell me what each word means I might be able to make an educated guess

- jim_thompson5910

Ok let's make up an example

- 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

okay I get that so far

- jim_thompson5910

|dw:1435452321297:dw|

- jim_thompson5910

go ahead and fill out the table (click the pencil to draw on my drawing)

- bobobox

|dw:1435452206385:dw|

- jim_thompson5910

the 86 is incorrect, but everything else looks good

- bobobox

|dw:1435452344153:dw|

- jim_thompson5910

better

- jim_thompson5910

you only add either the row totals OR the column totals (pick one)

- jim_thompson5910

the numbers I'm circling are called `joint frequencies`
|dw:1435452635430:dw|

- bobobox

okay

- 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

okay joints=2+

- jim_thompson5910

now if you divide every value by the total number of people (43), you will get this
|dw:1435452804260:dw|

- bobobox

okay i see how you got that

- 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

for example, 0.28 is a `joint relative frequency`
it means "28% of the entire group is male and likes coke"

- bobobox

okay

- jim_thompson5910

notice how 43*.28 = 12.04 which is pretty close to the original 12

- bobobox

yeah you just rounded

- jim_thompson5910

ok more terms

- bobobox

okay throw them at me

- jim_thompson5910

these are marginal frequencies
|dw:1435453144401:dw|

- jim_thompson5910

they are in the margins (off to the side, think margins on a paper)
and they are frequencies (whole number counts)

- bobobox

wait does
frequency=whole number counts=?

- jim_thompson5910

frequency is just a fancy way of saying how many times it happens

- jim_thompson5910

so yeah it's a count of something

- bobobox

okay sorry continue

- jim_thompson5910

marginal relative frequencies are basically the same as joint relative frequencies
just now you focus on the margins
|dw:1435453312087:dw|

- bobobox

okay @jim_thompson5910 sorry if I am a little spotty dont worry I am still here

- jim_thompson5910

its fine

- bobobox

okay

- bobobox

- jim_thompson5910

yes?

- bobobox

so I m thinking of the answer to the actual question now

- jim_thompson5910

what are you thinking so far

- bobobox

wait
relative=?

- jim_thompson5910

it means a piece of, or percentage of

- jim_thompson5910

it's like a proportion

- bobobox

okay I am making an educated guess here.. is it B? since its a decimal

- jim_thompson5910

and why is it not D?

- 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

is that value in the margins?

- bobobox

no

- bobobox

the colum next to it is the total value of the margin

- jim_thompson5910

so it can't be a marginal relative frequency

- bobobox

okay so my educated guess was right!

- jim_thompson5910

yes

- bobobox

here is the next one you are really helping me

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- bobobox

- jim_thompson5910

post in a new question. I'm lagging really badly since there's so much on this post

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