Average your name 11:00 AM
in Assignments
(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 Mike so my list is:
[13, 9, 11, 5]
The mean of those numbers
$(13+9+11+5)/4 = 9.5$
The Standard deviation is
$sqrt(((9.5-13)^2 + (9.5-9)^2 + (9.5-11)^2 + (9.5-5)^2)/3) ~~ 2.95.$
My name is Anna so my list is:
[1, 14, 14, 1]
The mean of those numbers is
$(1+14+14+1)/4 = 30/4 ~~ 7.5.$
The standard deviation is
$sqrt(((7.5-1)^2 + (7.5-14)^2 + (7.5-14)^2 +(7.5-1)^2)/3) ~~ 6.5.$
My name is Noah so my list is:
[14, 15, 1, 8]
The mean of those numbers is
$(14+15+1+8)/4 = 38/4 ~~ 9.5.$
The standard deviation is
$sqrt(((9.5-14)^2 + (9.5-15)^2 + (9.5-1)^2 + (9.5-8)^2)/4) ~~ 5.59.$
My name is Erin so my list is:
[5, 18, 9, 14]
The mean of those numbers is
$(5+18+9+14)/4 = 46/4 ~~ 11.5.$
The standard deviation is
$sqrt(((11.5-5)^2 + (11.5-18)^2 + (11.5-9)^2 +(11.5-14)^2 )/3) ~~32.33 .$
My name is Cameron so my list is:
[3,1,13,5,18]
The mean of those numbers is:
$(3+1+13+5+18)/5 = 42/5 = 8.4$
The standard deviation is:
$sqrt(((3-8.4)^2 + (1-8.4)^2 + (13-8.4)^2 + (5-8.4)^2 + (18-8.4)^2)/4) ~~ 7.22.$
My name is "Makenna" so my list is
[13, 1, 11, 5, 14]
The mean of those numbers is
$(13+1+11+5+14)/5 = 44/5 ~~ 8.8.$
The standard deviation is
$sqrt(((8.8-13)^2 + (8.8-1)^2 + (8.8-11)^2 +(8.8-5)^2 +(8.8-14)^2)/4) ~~ 5.59.$
My name is Matt so my list is:
[13, 1, 20, 20]
The mean of those numbers is
$(13+1+20+20)/5 = 54/5 ~~ 10.8.$
The standard deviation is
$sqrt(((10.8-1)^2 + (10.8-21)^2 + (10.8-4)^2 +(10.8-18)^2 +(10.8-5)^2)/4) ~~ -1.21$
My name is Michaela so my list is:
[13, 9, 3, 8, 1]
The mean of those numbers is
$(13+9+3+8+1)/5 = 34/5 ~~ 6.8.$
The standard deviation is
$sqrt( ( (6.8-13)^2 + (6.8-9)^2 + (6.8-3)^2 + (6.8-8)^2 + (6.8-1)^2)/4) ~~ 4.81.$
my name is leah so my list is
[12,5,1,8]
so the mean of those numbers is
$(12+5+1+8)/4=6.5$
the standard deviation
$sqrt(( (12-6.5)^2+(6.5-5)^2+(6.5-1)^2+(8-6.5)^2) /4)~~4.7$
My name is Anthony so my list is:
[1,14 ,20 ,8 ,15 ]
The mean of those numbers is
$(1+14+20+8+15)/5 = 58/5 ~~ 11.6.$
The standard deviation is
$sqrt(((11.6-1)^2 + (11.6-14)^2 + (11.6-20)^2 +(11.6-8)^2 +(11.6-15)^2)/4) ~~53.3 .$
My name is Stone so my list is:
[19, 20, 15, 14, 5]
The mean of those numbers is:
$(19+20+15+14+5)/5 = 73/5 = 14.6$
And the standard deviation:
$sqrt(((14.6-19)^2 + (14.6-20)^2 + (14.6-15)^2 + (14.6-14)^2 + (14.6-5)^2)/4) ~~ 35.3$
My name is Yates so my list is:
[25, 1, 20, 5, 19]
The mean of those numbers is
$(25+1+20+5+19)/5 = 70/5 ~~14.$
The standard deviation is
$sqrt(((14-25)^2 + (14-1)^2 + (14-20)^2 +(14-5)^2 +(14-19)^2)/4) ~~ 5.19.$
My name is Jamia so my list is:
[10,1,13,9,1]
The mean of those numbers is
$(10+1+13+9+1)/5 = 34/5 ~~ 6.8.$
The standard deviation is
$sqrt(((6.8-10)^2 + (6.8-1)^2 + (6.8-13)^2 +(6.8-9)^2 +(6.8-1)^2)/4) ~~ 95.57$
My name is Kylie so my list is:
(11, 26, 12, 9, 5)
The mean of those numbers is
$(11+26+12+9+5)/5=63/5~~ 12.6$
The standard deviation is
$sqrt(((12.6-11)^2 + (12.6-26)^2 + (12.6-12)^2 + (12.6-9)^2+ (12.6-5)^2)/4)~~63.3.$
My name is Evan so my list is:
[5, 22, 1, 14,]The mean of those numbers is
$(4+22+1+14)/4 = 42/4 ~~ 9.8.$
The standard deviation is
$sqrt(((10.5-5)^2 + (10.5-22)^2 + (10.5-1)^2 +(10.5-14)^2 +)/3) ~~ 9.4.$
My name is Keoni so my list is:
[11, 5, 15, 14, 9]
The mean of those numbers is
$(11+5+15+14+9)/5 = 54/5 ~~ 10.8 $
The standard deviation is
$sqrt(((10.8-11)^2 + (10.8-5)^2 + (10.8-15)^2 +(10.8-14)^2 +(10.8-9)^2)/4) ~~ 4.02.$
My name is Phoebe, but I got by feebs so my list is:
(6,5,5,2,19)
the mean of those numbers is
$(6+5+5+2+19)/4 =37/4 ~~9.25.$
the standard deviation is
$sqrt(((9.25-6)^2+(9.25-5)^2+(9.25-5)^2+(9.25-2)^2+(9.25-19)^2)/4)~~48.5$
My name is Eriana so my list is
{5,17,11,2,1}
The mean of those numbers is
$5+17+11+2+1 = 36/5 ~~ 7.2$
The standard deviation is
$sqrt(((7.2- 5)^2 + (7.2-17)^2+ (7.2-11)^2 + ( 7.2-2)^2 + (7.2-1)^2)/4)~~44.54$
My name is Izzy so my list is
{9, 26, 26, 25}
The mean of those numbers is
9+26+26+25=86/4≈21.5
The standard deviation is
$sqrt(((21.5-9)^2 + (21.5-26)^2 + (21.5-26)^2 +(21.5-25)^2 ~~ 7.22.$
@ljurek
I don't think you standard deviation computation is correct since you're not dividing by anything and your $~~$ sign is under the sqrt. Your mean computation has some imput issues as well.