What value corresponds to the 60th percentile in the following data set?

{12, 28, 35, 42, 47, 49, 50}
1) 47
2) 49
3) 28
4) 42

Question

What value corresponds to the 60th percentile in the following data set?

{12, 28, 35, 42, 47, 49, 50}
	1)	47
	2)	49
	3)	28
	4)	42

amistre64 · Answer

well, they are in order; what is 60% of 7?

amistre64 · Answer

60/7 * 100 was that it?

amistre64 · Answer

that wasnt it ....

amistre64 · Answer

is it the range we divide up?

anonymous · Answer

idk thats why im asking

amistre64 · Answer

the formula is on the tip of my brian stem :)

amistre64 · Answer

60/7 is more than 7 so thats bad; is it 7/60?

amistre64 · Answer

nah, thats 11 .....

amistre64 · Answer

60/100 * 7? maybe

anonymous · Answer

but then how the numbers in the set come into play

amistre64 · Answer

it something simple, that you round up and count that number of points

amistre64 · Answer

ima gonna guess it 47

anonymous · Answer

nomber 2 is the answer

amistre64 · Answer

if it is #2 then how is that the answer?

amistre64 · Answer

60% of 7 and round up .... sounds right to me

anonymous · Answer

i think its 47 too
total  = 263 times .6 brings it to

amistre64 · Answer

7*.6 = 4.2, rounds to 5; #in the 5th spot

anonymous · Answer

157 -  47 is the closest

amistre64 · Answer

http://en.wikipedia.org/wiki/Percentile

anonymous · Answer

first of all 60% of 7 is 0.6*7=4.2
meaning is between position 4 & 5
at position 5 u have 47 &position 4 u have 42 
formula
previous +position(after-previous)*7
=42+0.2(47-42)*7
=49

anonymous · Answer

let me tell u something in statistics u don't have to say something is to something u have to prove  don't guess

anonymous · Answer

do u understand my answer

amistre64 · Answer

i like your answer better now that I see the math behind it :)

but the way i recall it in my stats clretrice comes up to 47 ...

anonymous · Answer

if u still have questions invite me on ledwaba.reginald@gmail.com

amistre64 · Answer

the wiki would even go:

.6*7  = 4.2

4.2 + .5 = 4.7, rnd to nearest is 5

count 5 spots and record the number

anonymous · Answer

y do u round

anonymous · Answer

is it 42

amistre64 · Answer

just the way i was taught; you cant pick the 4.2th number so go to the higher one

amistre64 · Answer

its not 42

amistre64 · Answer

42 is the 50th percentile

anonymous · Answer

so you always round up?

anonymous · Answer

is not 42 plz dont guess ,don't roud tell the exact value

amistre64 · Answer

yep, by rounding up you include what would have been in the missing spot

anonymous · Answer

if the value is between 42 and 47 (positions 4 & 5) how can you get 49?

amistre64 · Answer

.5*7 = 3.5; count to 4, 50p = 42

anonymous · Answer

there r many rational number after 4.2 so u must u the exact number

amistre64 · Answer

@human, i was taught to take the percentage of the data count; and round up, then count to that spot and record the number

are there other ways?  id say yes :)

anonymous · Answer

if u studying statistics or actuarial science they r my ways

amistre64 · Answer

your best bet would be to write up, or read up, what the material you have says; so we can interpret it :)

anonymous · Answer

this is about statistics

anonymous · Answer

exactly so no guess in ''stats ''

anonymous · Answer

huh so whats the answer

amistre64 · Answer

this is where a modicum of understanding should come in to allow you to interact in the process in a cogent manner; the answer is what the process gives

amistre64 · Answer

what do you have to bring to the table?

anonymous · Answer

no disrespect remainder but i'm not convinced its 49 - i'll check my stats nt - i apologise in advance if im wrong

amistre64 · Answer

previous +position(after-previous)*7

=42+ 0.2 (47-42)*7
          ^^^
           im wondering where the .2 for position comes in; does 
          that reflect the ".2" in the 4.2 ?

amistre64 · Answer

you take the difference between 42 and 47; which is 5

divide it up into 10 even parts and take the 2 of them to get fit it into the spot

amistre64 · Answer

but why do we multiply it by 7 is my wonder ...

anonymous · Answer

4 is the exact number  since we have a remainder u don't ignore it u have to use it . 7 number of  values

amistre64 · Answer

yes, 7 data points, but i dont see why we multiply the fitted remainder by 7, much less any other number.  ive never seen it in this format before and it makes me curious :)

amistre64 · Answer

this is what i recall :)

amistre64 · Answer

and in examples ...

amistre64 · Answer

http://www.math.kent.edu/~honli/teaching/statistics/Chapter3/chap03_03_4.ppt

amistre64 · Answer

My thought process is:  60% of 7 = 4.2

 1     2      3       4      5      6       7
12   28    35     42    47    49     50
                             ^
                            4.2th spot; no number so in order to include 
                              the 60p, go the the next number on the list

47 is the closest thing we have to an answer then.