what is the standard deviation of the following...
2.82
3.49
3.28
3.25
3.26
2.87
3.16
3.4
2.84
3.72
3.22
3.44
3.65
3.02
3.03
3.8
3.23
3.26
3.53
3.75
3.15
3.66
3.36
3.79
2.85
3.74
3.23
3.52
3.32
2.89
2.83
2.93
3.71
3.47
3.52
2.83
3.64
2.96
3.59
3.33
3.38
3.44
3.31
3.03
3.26
3.04
2.98
2.8
3.75
3.64
3.65
3.18
3.44
3.06
3.51
3.33
2.81
3.64
3.05
2.85
3.56
2.92
3.35
3.46
3.59
3.11
3.65
3.17
2.97
3.77
3.21
3.17
3.65
2.94
3.53
3.65
3.61
3.7
2.91
3.09
3.77
3.79
3.59
3.38
3.57
2.97
3.44
3.64
3.48
2.99
3.73
2.91
3.78
3.4
3.13
3.14
3.24
3.56
3.16
3.53
3.01
3.3
3.62
3.21
3.39
3.65
3.47
3.44
3.88
3.83
3.53
3.22
3.56
3.2
3.17
3.41
3.56
3.34
3.44
3.76
3.55
3.88
3.31
3.09
3.82
3.01
3.66
3.64
3.59
3.49
3.13
3.83
3.04
3.91
3.56
3.96
3.46
3.22
3.27
3.43
3.85
3.89
3.37
3.32
3.54
3.8
3.74
3.17
3.27
3.32
3.56
3.95
3.56
3.79
3.93
3.79
3.71
3.05
3.22
3.85
3.82
3.23
3.56
3.53
3.62
3.8
3.47
3.64
3.03
3.17
3.22
3.92
3.82
3.26
3.8
3.2
3.46
3.67
3.06
3.66
3.96
3.75
3.83
3.22
3.36
3.21
3.02
3.99
3.07
3.65
3.67
3.06
3.98
3.93
3.41
3.43
3.7
3.76
3.9
3.23
You really don't expect somebody just to do all that arithmetic for you, do you?
Here is the method:
1. Find the mean. (add them all up, then divide by the number of data values)
2. take the difference between each data value and the mean, then square each of that result
3. Add up all those squares, then divide by the number of data values you have
4. Finally, take the square root of the sum form #3, you are done!
Most scientific calculators have a "statistic" mode and can do all those steps for you.
You have to simply enter the data values one at a time.
Your manual of your calculator will tell you what steps and what keys are involved.
Most common brands of calculator, such at TI, Sharp, etc, have manuals online to download.
To find the standard deviation of a set of numbers, follow these steps:
1. Calculate the mean (average):
Add up all the numbers and divide by the total number of numbers.
Mean = (2.82 + 3.49 + 3.28 + ... + 3.23) / (total count)
2. Calculate the difference between each number and the mean:
Subtract the mean from each number in the set.
Difference = (2.82 - Mean) + (3.49 - Mean) + (3.28 - Mean) + ... + (3.23 - Mean)
3. Square each difference:
Square each difference obtained in step 2.
Squared Difference = (Difference1)^2 + (Difference2)^2 + (Difference3)^2 + ... + (DifferenceN)^2
4. Calculate the average of the squared differences:
Add up all the squared differences obtained in step 3 and divide by the total number of numbers.
Average Squared Difference = (Squared Difference1 + Squared Difference2 + ... + Squared DifferenceN) / (total count)
5. Take the square root of the average squared difference:
Calculate the square root of the value obtained in step 4.
Standard Deviation = sqrt(Average Squared Difference)
Now you can plug in the numbers from your dataset and follow these steps to calculate the standard deviation.