Question

Which is the interquartile range of the data set: 6, 8, 10, 12, 14?

Answer 1

help me please

Answer 2

a quartile is equal to 1/4

how many elements are in the set?

Answer 3

5

Answer 4

then the position 5/4 represents the first quartile

and the position 3*5/4 represents the third quartile

Answer 5

the interquartile range are the elements between those positions

Answer 6

how did you get 3*5/4?

Answer 7

6, 8, 10, 12, 14
|--------|
IQR

Answer 8

is there another way you can do this? i looked up on google and they said to find the median and all that junk

Answer 9

a quartile represents 1/4 of a set. since there are 5 elements of the set, 5/4 is one quartile: the interquartile range is defined between q1 and q3

1*5/4 and 3*5/4

Answer 10

the median is the position of q2; 2*5/4 = 2.xxx, so eounding up gives us the 3rd elements .... but thats not really needed for this

Answer 11

*rounding up

Answer 12

oh ok

Answer 13

1*5/4 = 1.25, since there is not 1.25 positional value; we rnd up to 2; the value in the 2nd position defines q1

3*5/4 = 3.75, since there is not 3.75 positional value; we rnd up to 4; the value in the 4th position defines q3

The IQR relates to the range from q1 to q3

Answer 14

sigh idg it.. can yoou work it out?

Answer 15

I just did, a few times even :)

Answer 16

what part are you not understanding?

Answer 17

oh right sorry.. oh wait i get it!! i just had to look at what you drew for me. i didnt see that lol.

Answer 18

6, 8, 10, 12, 14
|--------|
IQR

Answer 19

you just put the two numbers together with the median because the other numbers had to be equal

Answer 20

and thats how you got 3/5

Answer 21

right? :) cus thats where i was confused @

Answer 22

lets ignore the actual values of the elements: and just number them as:

1, 2, 3, 4, 5

this relates to a position within the set right?

Answer 23

yes

Answer 24

the term quartile defines one quarter (1/4) of the set. does that make sense?

Answer 25

yess

Answer 26

then with 5 positions; divided into 4 parts defines the position of 1 quartile

5/4 = 1.25. is this position in our set?

Answer 27

yes i think

Answer 28

1, 2, 3, 4, 5 ; does not contain a positional value of 1.25.

Answer 29

oh well i just thought you divided 5/4 lol

Answer 30

well what do you do next then?

Answer 31

i did, 5/4 = 1.25 which is what we need to use to define our positions by

since 1.25 is not in our set, we want to go to the next whole value - which is 2

Answer 32

ohh ok

Answer 33

the 3rd quartile is determined in the same way:

3*5/4 = 3.75

is 3.75 in our set?

Answer 34

i think

Answer 35

1, 2, 3, 4, 5 does not contain the value 3.75, so we go to the next interger which is 4

Answer 36

oh lol ok

Answer 37

since the interquartile range (IQR) is the range from q1 to q3 ...

1, 2, 3, 4, 5
| IQR |

Answer 38

relating this to the actual values in your set:

1 2 3 4 5
6, 8, 10, 12, 14
| IQR |


8 to 12

Answer 39

this gets a slight twist IF our 1/4 is an integer, then we have to average some things ... but that wasnt the case for this :)

Answer 40

okay i have to go soon. what do you do next?

Answer 41

you write down the answer as 8 to 12 and move to the next question .....

Answer 42

if there are options to pick, then you pick the one that says 8 to 12 ....

Answer 43

ok my answer options are:

a.


7


c.


6




b.


13


d.


10

Answer 44

so it would be 6 or 10

Answer 45

those are odd options; but i would say it would be 10, since that is the only one that is actually a part of the IQR: 8,10,12