## GOODMAN 4 years ago BOX AND WHISKER PLOTS!!! BOX AND WHISKER PLOTS!!! @Mathematics

1. GOODMAN

{1055, 1075, 1095, 1125, 1005, 975, 1125, 1100, 1145, 1025, 1075}

2. GOODMAN

HEY...can show me how to make one for this...and to find the outliers

3. Zarkon

are you using Tukey’s rule?

4. GOODMAN

wat is tukeys rule..LOL

5. GOODMAN

we are using matrices....

6. Zarkon

for finding outliers

7. Zarkon

matrices for a box plot?

8. GOODMAN

dunno...wat is tukeys rule..can u teach me?

9. Zarkon

find the quartiles

10. GOODMAN

not ezactly...tas the chapter were on...technically it has nothing to do with matrices which i find funny...YES QUARTILES..FIND THOSE TOO

11. Zarkon

and the interquartile range

12. GOODMAN

YEA..THAT TOOO!! MAN U READ MY PAPER...

13. Zarkon

compute $Q_1-1.5IQR$ and $Q_3+1.5IQR$

14. GOODMAN

WAT ARE THE QUARTILES?

15. Zarkon

do you know how to find the median?

16. GOODMAN

yea...

17. Zarkon

do that...that is $Q_2$

18. GOODMAN

okay...then its 975...

19. Zarkon

then find the median of the lower half of the data...that is $Q_1$ then find the median of the upper half of the data...that is $Q_3$

20. myininaya

|dw:1319592543903:dw| isn't this a box and whisker thingy? also i think i'm missing an element and i keep going over the data again and again so i don't know which one i'm missing :( i think i;m getting old

21. Zarkon

|dw:1319592983243:dw|

22. GOODMAN

q1 is |dw:1319592990892:dw|its sumthing like tat...

23. GOODMAN

wow..mines a fail

24. Zarkon

remember you need to sort the data in order to find the median

25. GOODMAN

oh ya...lolz

26. myininaya

what i made i think is called a stem and leaf thingy ma jigger

27. Zarkon

correct

28. GOODMAN

YEA!!! STEM AND LEAF PLOT!!! lols i hated those

29. myininaya

ok zarkon what element am i missing though i have 10 elements he has 11 i have been over his set over and over and i can't figure out which one i'm missing

30. GOODMAN

whose he?

31. GOODMAN

who has 11 elements?

32. myininaya

you have 11 elements

33. GOODMAN

ohh....lolz im a girl...wow i got confused tare...

34. myininaya

do i know how to count?

35. Zarkon

not sure...but you wouldn't want to write the stem and leaf like that anyway...the stems need to be uniform...yours are not :)

36. myininaya

i like my stem and leaf :(

37. Zarkon

1075

38. myininaya

no i see 1075

39. Zarkon

there are two of them

40. myininaya

oh it occurs twice

41. GOODMAN

ez okay myininaya..u have a very beautiful stem and leaf plot...

42. Zarkon

you find the median?

43. GOODMAN

working on it...

44. myininaya

you have an odd number so its just the middle term

45. myininaya

once the set has been ordered from least to greatest

46. myininaya

the set the data the whatever you want to call it

47. GOODMAN

arghhh...i hate puting them in order...im always off a number..

48. myininaya

yes like i was earlier lol

49. Zarkon

do a bubble sort (or quick sort if you are in a hurry) ;)

50. myininaya

if you want to use my stem and leaf you can (eventhough according to zarkon its not a legal stem and leaf) just add one more 5 for 107

51. Zarkon

it is totally illegal...it should be arrested

52. myininaya

what the cops don't know won't hurt them

53. Zarkon

that's right

54. GOODMAN

omg..now ur talking bout cops

55. myininaya

don't worry about them there is a separation of cops and math

56. Zarkon

shouldn't you be finding the median ;)

57. GOODMAN

i still havent gotten them in order..im always making a mistake...can u guys help?

58. Zarkon

{975,1005,1025,1055,1075,1075,1095,1100,1125,1125,1145}

59. GOODMAN

lolz..u did it sooo fast....

60. GOODMAN

1075 is the median

61. Zarkon

yes

62. Zarkon

now find the median of the lower half of the data

63. GOODMAN

1025=q1 1125=q3 rite?

64. Zarkon

yes

65. GOODMAN

YEA!!!!!!!!

66. Zarkon

calculate the IQR

67. GOODMAN

how do we do tat?

68. Zarkon

$IQR=Q_3-Q_1$

69. GOODMAN

100

70. Zarkon

yep

71. Zarkon

now compute $Q_1-1.5\times IQR$ and $Q_3+1.5\times IQR$

72. Zarkon

there are called the Lower fence and Upper fence

73. GOODMAN

102350 and 112650

74. Zarkon

no

75. GOODMAN

what did i do now....

76. Zarkon

$Q_1-1.5\times IQR=1025-1.5\times100=1025-150=875$

77. GOODMAN

oh....i first multiplied 1025 and 1.5

78. Zarkon

what is the upper fence then ( i gave you the lower fence)

79. GOODMAN

1275?

80. Zarkon

yes

81. GOODMAN

boo ya!!!

82. Zarkon

ok..are there any numbers in your data set that are smaller than 875 or larger than 1275?

83. GOODMAN

ummm.....no

84. Zarkon

correct...therefore there are no outliers

85. GOODMAN

yea!!! okay...now wat about the box and whiskers the pic...

86. Zarkon

|dw:1319594794785:dw|

87. GOODMAN

so tats how we draw it?

88. Zarkon

sort of...hard to write on the picture

89. Zarkon

the line at the bottom is a number line...the vertical lines on the box should correspond the the quartiles. the line out of the box to the left should extend out the the min value and the line out to the right of the box to the max

90. GOODMAN

HUH????????

91. Zarkon
92. GOODMAN

ohhhhhhh...tat explains it!! LOL

93. GOODMAN

|dw:1319595179179:dw|

94. Zarkon

nice ;)

95. GOODMAN

yea!!! thanks for ur help!

96. Zarkon

no problem