Question

@dan815 @johnweldon1993 @data_LG2 @mathstudent55

Answer 1

A 5 number summary means you need to find Min, Median, Max, Q1 and Q3

So it would help to first order each sets of data in order from least to greatest

Answer 2

So for state A would it be 21, 22, 23, 24, 25?

Answer 3

I just brought together the same numbers and it's 5, so....

Answer 4

Correct for state A

Answer 5

And for state B, it would be 20, 21, 23, 4,6 50?

Answer 6

*46

Answer 7

Hm?

Answer 8

Double check that 46 for me

Answer 9

?

Answer 10

The numbers are

20, 20, 21, 22, 23, 23, 24, 46, 50
^ ^ ^ ^ ^

Right?

Answer 11

Yes

Answer 12

Oh, so then 24 instead of 46 mb

Answer 13

There ya go

Okay...so the 5 number summary part is done

Now the IQR *interquartile range...what would that be for state A?

Answer 14

2

Answer 15

And B would be 3

Answer 16

Awesome!

Alright...now symmetry...are these symmetric?

Answer 17

That's the main problem. How would I figure that out exactly?

Answer 18

Well I made a graph out of the points, and it looks like A is symmetric and B isn't.

Answer 19

https://nces.ed.gov/nceskids/createagraph/default.aspx?ID=5fc9e2eb3c364ad3a13c7300a0cfad00

Answer 20

haha I was drawing a plot out.but remember that's a bar graph not a box plot...but it still gets our point across

So you're right...it doesn't look like B is symmetric...why?

Answer 21

Because 50 and 46 are much higher than the rest of the points.

Answer 22

Right...they are called "outliers" and they skew plots to the right or the left as you can see it has done here

Answer 23

Mhmm

Answer 24

So I'm done?

Answer 25

Well, thanks for the help.

Answer 26

Yeah you're done! sorry haha helping others!