HELLO LOOKING FOR HELP CAN SOMEONE BE KIND AND HELP ME
The table below shows the number of hours some business people in two states spend in meetings each week
State A
21 23 24 22 24 25 23 23 22
State B
24 22 20 23 23 50 20 46 21
Create a five-number summary and calculate the interquartile range for the two sets of data.

- anonymous

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- schrodinger

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- jim_thompson5910

when you list these numbers
21 23 24 22 24 25 23 23 22
from smallest to biggest, what do you get?

- anonymous

21 22 22 23 23 2324 24 25

- jim_thompson5910

what is the middle most number of this list
21, 22, 22, 23, 23, 23, 24, 24, 25

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## More answers

- anonymous

23

- jim_thompson5910

yes

- jim_thompson5910

that is the median

- jim_thompson5910

|dw:1435887271784:dw|

- jim_thompson5910

focus on the smaller half of the data
|dw:1435887285192:dw|

- jim_thompson5910

what is the median of 21,22,22,23 ?

- anonymous

22

- jim_thompson5910

that is the value of Q1

- jim_thompson5910

|dw:1435887536770:dw|

- anonymous

24

- jim_thompson5910

that's Q3

- jim_thompson5910

and finally, the min and max are just as you expect: the smallest and largest values
|dw:1435887601476:dw|

- jim_thompson5910

five number summary:
min = 21
Q1 = 22
median = 23
Q3 = 24
max = 25

- anonymous

that's for the first one or that's all I need

- jim_thompson5910

one more thing
you need the IQR

- jim_thompson5910

IQR = Q3 - Q1

- jim_thompson5910

IQR stands for interquartile range

- anonymous

=2

- jim_thompson5910

yes

- anonymous

so what would I write for my answer

- jim_thompson5910

I wrote the answer above more or less. Re-read what I posted

- anonymous

it says for both sets can u help me with the second one

- jim_thompson5910

you follow the same steps. Give it a shot and tell me what you get

- anonymous

min = 20
Q1 =
median = 23
Q3 =
max = 50

- jim_thompson5910

so far so good

- jim_thompson5910

look at the list of values smaller than the median
find the median of this list to get Q1

- anonymous

idk can you help

- jim_thompson5910

did you sort the values?

- anonymous

yes

- jim_thompson5910

which values are less than the median?

- anonymous

20 21 22

- jim_thompson5910

so you look at the lower half
20,20,21,22
find the median of this lower half

- jim_thompson5910

just like we did in the last problem

- anonymous

20 21

- jim_thompson5910

add them up and divide by 2

- anonymous

20.5

- jim_thompson5910

that's Q1

- jim_thompson5910

do you know how to find Q3 ?

- anonymous

no

- jim_thompson5910

find the median of the upper half of the data

- anonymous

I need help

- jim_thompson5910

find the median of all the numbers to the right of the median (look at the sorted data)

- jim_thompson5910

sort the data
look at all of the values to the right of the median
find the median of this smaller data set to get Q3

- anonymous

24 46

- jim_thompson5910

add those two values up and divide by 2

- anonymous

35

- jim_thompson5910

that is Q3

- jim_thompson5910

now just compute the IQR

- anonymous

-14.5

- jim_thompson5910

IQR = Q3 - Q1

- jim_thompson5910

Q1 = 20.5
Q3 = 35
IQR = Q3 - Q1 = ??

- anonymous

-14.5

- jim_thompson5910

no you subtracted in the wrong order

- jim_thompson5910

you should do 35 - 20.5

- anonymous

14.5

- jim_thompson5910

good

- anonymous

ok when u write everything out

- anonymous

Are the box plots symmetric

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