Question

these always confuse me.
Rank the following data in increasing order and find the positions and values of both the 43rd percentile and 67th.
0,6,3,5,2,8,1,5,2,3,8
Show all work

Answer 1

how many data point we got?

Answer 2

11

Answer 3

then 11(.67) = ?

and 11(.43) = ?

Answer 4

yes - think so

Answer 5

11(.67) = 7.37; P(67) is the 8th term

11(.43) = 4.73; P(43) is the 5th term

Answer 6

i'm a bit hazy about these i must admit

Answer 7

i aint, i got a mind like a steel seive

Answer 8

i guess so - seems to make sense

Answer 9

lol

Answer 10

the P(50) = 11(.5); 5.5 term in the 6th spot

Answer 11

if you get an integer value; you take the average of the that and the next one up from it

Answer 12

right

Answer 13

11(.67) = ? and 11(.43) = ? I don't get this

Answer 14

you only have 11 spots total; the percentile points to the percentage placement; the term in the 67% spot

Answer 15

the term in the 43% spot

Answer 16

67% of 11 = 7.37; so at most, the 8th spot

Answer 17

Ok now i follow from the (p) 67 = is the 8th term, but where did the (p)50 come from?

Answer 18

i used that to compare the method; the p(50) is the median of the set; the number in the middle.

50% of 11 = 5.5; so the 6th term is the median, is the p(50)

Answer 19

make sure you align your terms small to big tho

Answer 20

ok so I put them in ascending order and the number that is sitting it the 8th place is the one for the 67th percentile?

Answer 21

yep

Answer 22

if there was a spot for a 7.37; then that would be it, but to include the 67th percentile we got to step it up a notch to 8