Welcome…

Thanks for clicking by the blog of the Mathematics Department of Sydenham High School.

Please feel free to browse any resources you find here; it'd nice if you referenced any that you used.

Mr Brewin’s Year 12 Stats

Update: here’s a pseudo-equation for working out the median:

Where LCB=Lower Class Boundary, CW= Class Width, M.obs is the observation where the median is going to be, UC.Obs is the Observation at the Upper Class and LC.Obs is the same for Lower Class. Confused? Thought you would be!

Hope that helps!

 

Sorry didn’t get to post this last night. The latest slides on interpolation etc. are here.

The answers to the exercises from Chapter 2 so far are here:

Chapter 2 Answers (1)

Chapter 2 Answers (2)

All done for Weds please – do shout here if you need any help on the interpolation or anything else. Have a good w/e!

 

54 comments to Mr Brewin’s Year 12 Stats

  • Becky Brawn

    Ummm i think interpolation is beyond me.. I am trying but im confused.. :S

  • Hi Becky,
    I don’t have an S1 here so can you explain exactly what you are trying to do and I’ll try and help you.

    Mrs T

  • OK – come and see me Tues and we’ll sort it out. It seems complicated, but I’m sure after a few questions you’ll get the hang of it.

    PS – any chance I could borrow your guitar again?! Mr Jope wants to practise something this week, and mine is still over in Chiswick.

  • Becky Brawn

    haha yes thats fine Mr Brewin, do you want me to bring it in tomorrow?

    Ah thanks Mrs Tibble but i don’t think i would be able to explain it well enough on the maths blog :) i will just have to get help at school, thanks anyway

  • DEXTER

    am i on the right blog now??

  • Mr Brewin

    Be great if you could – ta!

    Come and find me tomorrow and I’ll go over it again….

  • DEXTER

    is it okay to use decimals in quadratic equations such as “completing the square”?
    Or is it more beneficial for one to use fractions?

  • Easier to use fractions: they square and square-root more easily :-)

    Are you right-handed?

  • Grace Mullally

    wait.. I’m really confused are we supposed to use that other equation instead of the one you gave us already oin class??? or are you just giving us options..

  • Think he’s giving you options Grace. That one above looks scary – I’d choose tea if I was you!!

  • Grace Mullally

    it really does look scarey doesn’t it!!
    I’ve used the other one anyway so it’s all alright..
    I’ll just write that other one in my book to look clever.. :)

  • Sure it’s OK grace… I did it in a moment of madness when Becky said people hadn’t got it!

    We’ll go over it tomorrow and try to make sense of it!

  • Becky

    umm.. this is embarassing… i dont understand the coding questions on the mixed exercise, im not sure what it is asking me to do

  • This is Q6 on 2F, right?
    It’s given you the coded mean, and the way the data was coded. It’s asking you to work out what the actual mean is – which you do by reversing the coding. OK?

  • DEXTER

    1) yes Mrs Tibble, i am right-handed

    2) Mr Brewin, on the topic of interpolation:
    e.g. if Q1 = 389.083recurring
    can i round it up to 389kg or do i leave some decimal places???

  • Rebecca Brawn

    well i think i have done question 6, it just seems to be question 5 that confuses me.

  • Dex: yes, 3sf is fine. 4 if you like.

    Bex: For 5, the coding is asking you to subtract 7 from each observation, then divide by 80. POINTLESS I know, but when you’ve done that, you’ll get 10, 12, 8, 2, 2.5, 8.5 (in my head). Find the mean of these, then un-code to find the mean of original observations. Yes, I know, it’d be much quicker to tap the data in to your calc as it is!

  • DEXTER

    fanx
    and actually it is 9 not 8 :D
    and what do you mean by un-code
    so it’ll be: mean of those values(y)=(x-7)/80
    and then work that out???

  • Mr Brewin

    Yeah, do the mean of those simpler values… then x 80 and + 7

  • DEXTER

    okay
    sorry to keep bothering you but i have another queztion
    on q7 (the one with the table with group A and group B….continuous data question)
    do i use the mid-class value, etc? just to be sure

  • Yes. Mid-class x freq… sum those.

  • Sandrinne Antnoy

    can i ask a rather unrelated question?
    that is kind of related
    but not depending on the way you look at it
    anyway, i digress
    what is the average grades achieved at AS level ?

    average? see what i did there? ha! really now.

  • By whom and in what subject??

  • Sandrinne Antnoy

    for maths :) errrrrm mr brewin and mr burford?
    just curious ^^

    ALSO actual maths help needed
    cumulative frequency goes as such:

    group 0 CF = 25
    group 1 CF = 35

    if Q1 = 25 that goes in group 0. . . . right? or wrong . . . ? aaaah !!

  • Sandrinne Antnoy

    wait – do we even need to know if it goes into which group if youre trying to find out the interquartile range?
    this is so confusing.

  • When you say CF=25 do you mean there are 25 values in group 0? (Hate this type-face which shrinks the zeros!!)

    Maths grades depend on the person sitting the paper Sandrinne! Haven’t you worked that one out yet?

  • Sandrinne Antnoy

    yuppp there are 25 values in group 0 [yeah me too, :( o and 0 have no difference !!!]

    and yeah i suppose i realised :( *sigh*

  • Sandrinne Antnoy

    :O i hope that wasnt sarcasm :(
    on a more important note, you know the special homework?

  • Sandrinne Antnoy

    actually its ok got it sorted.

  • DEXTER

    for any teacher available

    with an equation
    e.g. x+y=11 and xy=30
    is it correct for me to rearrange the first like so…y=11-x. Then to substitute that into xy=30
    so it’ll look like so… x(11-x)=30
    and then work out??

  • DEXTER

    thanx Miss

    also 2x+y=1 and x2 +y2=1
    i can do the rearrangement and the substitution but i cant factorize it
    ive gotten to (5x ) (x ) but i dont kno what to do with it

  • Grace Mullally

    You see those simultaneous questions that Deola was asking about.. I’ve been finding them difficlut.. I just can’t seem to make them work properly :(

  • Mr Williams

    I’m guessing that this is too late but…

    Deola:
    Is your question as follows?
    2x+y=1 and x^2 + y^2 = 1

    If so then from the first y = 1-2x

    Now sub this into the second one, giving
    x^2 + (1-2x)^2 = 1

    Expand giving
    x^2 + 1 – 4x +4x^2 = 1

    So now tidy it up and get
    5x^2 – 4x + 1 = 1

    Subtract 1. I think you got to about here.
    5x^2 – 4x = 0

    Methods for solving from here include factorising or formula or difference between squares. The choice is yours.

    Hope that this helps.

    MW

  • Sandrinne Antnoy

    for mr brewins *special homework*im getting stuck because say if the coded mean of employee’s annual earnings (£x) for a store is 18, the code that was used was

    y= x – 720 (over) 1000

    how would you work out the uncoded mean earnings? but just putting in 18 as x? ?

  • Sandrinne Antnoy

    or you make y 18
    got it all

  • OK now? Yeah – you put 18 as y, then work back.

    And sorry – was out last night. And it wasn’t sarcasm! It was actually just showing some parents how the blog worked ;-) Well done anyway!

  • Sandrinne Antnoy

    hahah well phew !
    ok LAST QUESTION
    after two hours of my life slaving on this homework

    you knw the last question how would you work it out when another batch of 12 batteries is found to have an estimated mean lifteim of 22,.3 hours [i got the mean for all 80 batteries as 20.6]

    do you do something like divide 12 by 22.3 ? or ? aaah i dont know !

  • OK, hope this isn’t too late…. You’ve got to combine the two data sets. The total is (22.3 x 12) + (20.6 x 80)…. then you divide that total by 100 to get the combined mean. OK?

  • Sandrinne Antnoy

    ok thankyooou
    got 19.156
    well hope thats right

  • Hmmm….. should be 20.8 I think, but don’t worry about it – we’ll go over it.

  • DEXTER

    Hi,
    Umm… i need to check a few things with u quickyly:
    1) calculating the median…can u just do n/2 or must i always use n+1/2?
    2) class boundaries: if the classes are like, 30-35, 35-40. would the class boundaries just be 30 and 35?

  • Hi Deola,

    1) (n+1)/2 which locates the middle item for an odd number of items, and halfway between the middle two for an even number of items.
    eg if there are 50 pieces of data, there are 2 middle items – nos 25 and 26 – and the median is hafway between them at position 25.5 (which is half of 51 not 50)

    2) Yes

    Tea Lady

  • DEXTER

    thanx Mrs T,

    so basically i always use n+1/2
    but if there are 50 pieces of data, isnt it simpler to just divide it by 2 and get 25….ooooooh i understand now why i cant do that
    okaii thankyou

  • DEXTER

    also…with stem and leaf diagrams, when asked to find the median: if we do 15+1/2=15.5. Does one round up to 16 (like with discrete data)or leave it at 15.5 and then read it off the table?

  • Deola, if there are 15 leaves, then the middle one is number 8!
    (15 + 1) / 2 is not the same as 15 + 1/2!!!!
    If the two middle items are the same, then that is the value of the median; if they are different, take their mean.

  • DEXTER

    ooh i get it :D fanx

Leave a Reply

 

 

 

You can use these HTML tags

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong>