Question

The employees of two companies were asked how many times they checked their email during weekends. The table below shows the numbers for each company:


Company A 2 4 8 8 2 6 4 8 3
Company B 2 6 3 5 2 4 6 3 2


Based on the table, which of the following is true?
The interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.
The interquartile range for Company A employees is 0.5 more than the interquartile range for Company B employees.
The interquartile range for Company A employees is 1 more than the interquartile range for Company

Answer 1

hey
so first: do you understand what an interquartile range is?
if so please define it below

Answer 2

better yet: what is the interqurtile range for company A and for company B

Answer 3

hi

Answer 4

and i will try is it when ur dividing the data set in qurtiles examples would be q1 q2?

Answer 5

yep, divide the data set for each company into 3 parts first
then find ur median
then IQR = Q3 - Q1

Answer 6

imnot sure hiw to do that! :D

Answer 7

ok
company A ill do, company B u try from my example, yeah?

Answer 8

ok

Answer 9

Company A 2 4 8 8 2 6 4 8 3

so 9 numbers, so lest group them by 3's

lowest 3 = 2,2,3 => Q1 = 2.5
middle 3 = 4,4,6 => Q2 = 4
upper 3 = 8,8,8 => Q3 = 8

median number = 4
there are 4 numbers on each side of the median number

so IQR = Q3 - Q1
= 8 - 2.5
= 5.5 ... i think?

my stats are rusty though

Answer 10

ok

Answer 11

put the numbers in order...
2,2,3,4,4,6,8,8,8

Q2 (median--middle number) = 4
Q1 = (2 + 3)/2 = 6/2 = 3
Q3 = (8 + 8)/2 = 16/2 = 8

IQR = Q3 - Q1
IQR = 8 - 3 = 5

Answer 12

I am getting something different for the first one

Answer 13

3+2 = 5

Answer 14

not 6

Answer 15

oops..your right
Q1 = (3 + 2)/2 = 5/2 = 2.5....your right

so IQR is 8 - 2.5 = 5.5

Answer 16

good catch Jack...I am feeling real stupid right now...lol

Answer 17

hehe, s'cool, we all have brain hiccups sometimes ;)

Answer 18

ok @help_people now u try with company B
example pic attached to assist if my example didnt help that much?

Answer 19

you might have to explain what to do if there is 2 middle numbers

Answer 20

because of the quartiles

Answer 21

oh yeah, soz
um, if u find the median number, and there's an odd number either side, the quartiles are the middle of those odd numbers
eg 7 numbers
1,2,3,4,5,6,7
median = 4
3 numbers either side
1,2,3 4 5,6,7
middle number if each side is the quartile
1,2,3 ... Q1 = 2
5,6,7 ... Q3 = 6

Answer 22

Q1=2
Q2=3
Q3=6

Answer 23

for company B

Answer 24

now if u have an even number either side
1,2,3,4,5,6,7,9,15
median = 5

4 numbers either side
1,2,3,4 5 6,7,9,15

so to find quartile, you need to find the middle number of each side
1,2,3,4
middle numbers are 2 and 3
middle of this is 2.5 =Q1

6,7,9,15 .... middle numbers are 7 and 9
middle of this = 8 = Q3

Answer 25

Company B 2 6 3 5 2 4 6 3 2
2,2,2,3,3,4,5,6,6
Q1 = 2
Q2 = 3
Q3 = 5+6/2 = 5.5

Answer 26

^^ I agree
2,2,2,3,3,4,5,6,6

Q2 = 3
Q1 = (2+2)/2 = 4/2 = 2
Q3 = (5 + 6) / 2 = 11/2 = 5.5

IQR = 5.5 - 2 = ?

Answer 27

oh srry 3.5

Answer 28

my internet isreally slow where im ay so bear with me

Answer 29

so A = 5.5 and B = 3.5.....so what do you think the answer is now

Answer 30

a is the answer

Answer 31

yep ^^ and be sure and give Jack a medal :)

Answer 32

sorry, loo break, yeps A is the best ;)

Answer 33

cheers for the assist @texaschic101 i wasn't 100% that i remembered IQR's right till u came along