Average your name 8:00 AM
(10 pts)
For your first Stat Talk assignment, you're going to practice a basic statistical computation and type it into the forum using its typesetting tools. Here's the problem:
Use your first name to generate a list of integers by finding the position of each of up to the first five letters of your name in the alphabet. For example, my name is "Mark"; thus my list of numbers is:
[13, 1, 18 , 11].
Then, use the formulaic definitions to compute the mean and sample standard deviation of the resulting numeric data. Be sure to type out your computation as well as the result.
Comments
My name is Audrey so my list is:
[1, 21, 4, 18, 5]
The mean of those numbers is
$(1+21+4+18+5)/5 = 49/5 ~~ 9.8.$
The standard deviation is
$sqrt(((9.8-1)^2 + (9.8-21)^2 + (9.8-4)^2 +(9.8-18)^2 +(9.8-5)^2)/4) ~~ 9.04.$
This is not part of the assignment but, to place that all into the forum, I typed:
My name is Sam so my list is:
[19, 1, 13]
The mean of those numbers is 11
$(19+1+13)/3 = 33/3 ~~ 11.$
The standard deviation is
$sqrt(((19-11)^2 + (1-11)^2 + (13-11)^2) /2) ~~ 9.56.$
My name is Hannah so my list is:
[8, 1, 14, 14, 1]
The mean of those numbers is
$(8+1+14+14+1)/5 = 28/5 ~~ 7.6.$
The standard deviation is
$sqrt(((7.6-8)^2 + (7.6-1)^2 + (7.6-14)^2 +(7.6-14)^2 +(7.6-1)^2)/4) ~~ 42.3.$
My Name is Venecia and my list is
[22, 5, 14, 5, 3]
The mean of these numbers is
$(22+5+14+5+3)/5= 49/5= 9.8.$
The standard deviation is
$sqrt(((9.8-1)^2 + (9.8-21)^2 + (9.8-4)^2 +(9.8-18)^2 +(9.8-5)^2)/4) ~~ 9.04.$
My name is Dannia so my list is:
[4, 1, 14, 14, 9, 1]
The mean of those numbers is
$(4+1+14+14+9+1)/6 = 43/6 ~~7.167$
The standard deviation is
$sqrt(((7.167-4)^2 + (7.167-1)^2 + (7.167-14)^2 + (7.167-14)^2 +(7.167-9)^2 +(7.167-1)^2)/5) ~~ 2.7.$
My name is Juliette so my list is:
[10, 21, 12, 9, 18]
The mean of those numbers is
$(10+21+12+9+18)/4 = 71/4 ~~ 14.2.$
The standard deviation is
$sqrt(((14.2-10)^2 + (14.2-21)^2 + (14.2-12)^2 +(14.2-9)^2 +(14.2-18)^2)/4) ~~ 27.55.$
My name is Damen so my list would be as follows:
[4, 1, 13, 5, 14]
The mean of the numbers become
$(4+1+13+5+14)/5 ~~ 7.6$
The standard deviation is
$sqrt(((7.6-4)^2 + (7.6-1)^2 + (7.6-13)^2 + (7.6-5)^2 + (7.6-14)^2)/4) ~~ 5.77$
My name is Joshua so my list is:
[10, 15, 19, 8, 21]
The mean of those numbers is
$(10+15+19+8+21)/5 = 73/5 ~~ 14.6.$
The standard deviation is
$sqrt(((14.6-10)^2 + (14.6-15)^2 + (14.6-19)^2 +(14.6-8)^2 +(14.6-21)^2)/4) ~~ 5.59.$
My name is Leland so my list is:
[12, 5, 12, 1, 14, 4]
The mean of those numbers is
$(12+5+12+1+14+5)/6 = 48/6 ~~ 8.$
The standard deviation is
$sqrt(((8-12)^2 + (8-5)^2 + (8-12)^2 + (8-1)^2 + (8-14) + (8-4)^2)/5) ~~ 5.33.$
My name is laura so my list is:
[12, 1, 21, 18, 1]
The mean of those numbers is
$(12+1+21+18+1)/5 = 53/5 ~~ 10.6$
The standard deviation is
$sqrt(((10.6-12)^2 + (10.6-1)^2 + (10.6-21)^2 +(10.6-18)^2 +(10.6-1)^2)/4) ~~ 9.34.$
My name is Madyson, but my nickname is Mady so my list is:
[13,1,4,25]
$(13+1+4+25)/4= 43/4 ~~10.75. $
The Standard Deviation is
$sqrt (((10.75-13)^2 + (10.75-1)^2 + (10.75- 4)^2 + (10.75- 25)^2)/ 4) ~~ 10.78. $
My name is Elaina my list is
[5,12,1,9,14]
The mean of those numbers is
$(5+12+1+9+14)/5 = 41/5 ~~ 8.2.$
The standard deviation is
$sqrt(((8.2-5)^2 + (8.2-12)^2 + (8.2-1)^2 +(8.2-9)^2 +(8.2-14)^2)/4) ~~ 9.25.$
My name is Lindie so my list is:
[12, 9, 14, 4, 9, 5]
The mean of those numbers is
$(12+9+14+4+9+5)/6 = 49/6 ~~ 8.1.$
The standard deviation is
$sqrt(((8.1-12)^2 + (8.1-9)^2 + (8.1-14)^2 +(8.1-4)^2 +(8.1-9)^2) + (8.1-5)^2 )/5 ~~ 14.30 .$
My name is Collin, so my list is:
[3, 15, 12, 12, 9]
The mean of those numbers is:
$(3+15+12+12+9)/5 = 51/5 ~~ 10.2.$
The standard deviation is:
$sqrt(((10.2-3)^2 + (10.2-15)^2 + (10.2-12)^2 +(10.2-12)^2 +(10.2-9)^2)/4) ~~ 9.04.$
My name is Katelynne so my list is:
[11, 1, 20, 5, 12]
The mean of those numbers is
$(11+1+20+5+12)/5 = 49/4 ~~ 12.25.$
The standard deviation is
$sqrt(((12.25-11)^2 + (12.25-1)^2 + (12.25-20)^2 +(12.25-5)^2 +(12.25-12)^2)/4) ~~ 60.203125.$
My name is Victoria so my list is:
[12, 9, 3, 15, 10]
The mean of those numbers is
$(22+9+3+20+15)/5 = 69/5 ~~ 13.8.$
The standard deviation is
$sqrt(((13.8-22)^2 + (13.8-9)^2 + (13.8-3)^2 +(13.8-20)^2 +(13.8-15)^2)/4) ~~ 61.7.$