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Mathematics 9 Online
OpenStudy (bobobox):

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

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

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

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

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

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

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

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

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

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!

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

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

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?

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

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)

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?

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

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

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%

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (bobobox):

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

jimthompson5910 (jim_thompson5910):

yeah

jimthompson5910 (jim_thompson5910):

that's assuming my interpretation was correct

OpenStudy (bobobox):

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

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