alculating the Mean and Standard Deviation alculate the sample mean and sample S
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Question
alculating the Mean and Standard Deviation alculate the sample mean and sample SD rounded to three decimal places and enter the numbers below. You will find structions for calculating these numbers using a calculator or spreadsheet program under the "Calculations" tab. If you e using a spreadsheet program, you can download the data by pressing the "Download Data" button Iron Cay Experimental Island limb Calculations Individual Length 0.85 0.91 0.88 0.85 0.81 0.9 0.84 0.87 0.88 0.8 Length 0.85 0.82 0.82 0.81 0.81 0.81 0.81 0.88 0.8 Sample Mean Sample Mean 0.859 082 Sample SD Sample SD 10 10 : Experimental Data nts I Results I Results Graphs I Quest periment I TakingExplanation / Answer
1). Sample mean is given in the question=0.859
Now we can go for the calculation of the standard deviation by the formula
(SD)= (x-x)2 /n-1
N= No. of individuals in the sample,
n=10
Sample (x)
( x-x)2
0.85
0.85-0.859=0.000081
0.91
0.91-0.859=0.0026
0.88
0.88-0.859=0.00044
0.85
0.85-0.859=0.000081
0.81
0.81-0.859=0.0024
0.9
0.9-0.859=0.0016
0.84
0.84-0.859=0.000361
0.87
0.87-0.859=0.000121
0.88
0.88-0.859=0.00044
0.8
0.8-0.859=0.0034
x=8.59
(x-x)2 =0.008582
Now we have (x-x)2 =0.008582
SD=0.008582/10-1
SD=0.008582/9= 0.030879
2). Sample mean is given in the question=0.82
Now we can go for the calculation of the standard deviation (SD)= (x-x)2 /n-1
N= No. of individuals in the sample
N=10
Sample (x)
( x-x)2
0.85
0.85-0.82=0.0009
0.82
0.82-0.82=0
0.82
0.82-0.82=0
0.81
0.81-0.82=0.0001
0.81
0.81-0.82=0.0001
0.81
0.81-0.82=0.0001
0.81
0.81-0.82=0.0001
0.87
0.87-0.82=0.0036
0.8
0.8-0.82=0.0004
0.79
0.79-0.82=0.0009
x=8.2
(x-x)2 =0.0062
Now we have (x-x)2 =0.0062
SD=0.0062/10-1
SD=0.0062/9= 0.02624
Sample (x)
( x-x)2
0.85
0.85-0.859=0.000081
0.91
0.91-0.859=0.0026
0.88
0.88-0.859=0.00044
0.85
0.85-0.859=0.000081
0.81
0.81-0.859=0.0024
0.9
0.9-0.859=0.0016
0.84
0.84-0.859=0.000361
0.87
0.87-0.859=0.000121
0.88
0.88-0.859=0.00044
0.8
0.8-0.859=0.0034
x=8.59
(x-x)2 =0.008582
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