Two closely related statistical measures will allow us to get an idea of the spread or dispersion of our data. The first measure is the variance, which measures how far from their mean the individual observations in our data are. The second is the standard deviation, which is the square root of the variance and measures the amount of variation or dispersion of a dataset. Write a function calculate_variance() that takes a list and returns its variance. The variance is calculated by first finding the mean (average), then by summing for all elements (element - mean), and then dividing this sum to number of elements. cs104 / ME202 Homework-3 1
Two closely related statistical measures will allow us to get an idea of the spread or dispersion of our data. The first measure is the variance, which measures how far from their mean the individual observations in our data are. The second is the standard deviation, which is the square root of the variance and measures the amount of variation or dispersion of a dataset. Write a function calculate_variance() that takes a list and returns its variance. The variance is calculated by first finding the mean (average), then by summing for all elements (element - mean), and then dividing this sum to number of elements. cs104 / ME202 Homework-3 1
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![Two closely related statistical measures will allow us to get an idea of the spread or dispersion of our
data. The first measure is the variance, which measures how far from their mean the individual
observations in our data are. The second is the standard deviation, which is the square root of the
variance and measures the amount of variation or dispersion of a dataset.
Write a function calculate_variance() that takes a list and returns its variance. The variance is
calculated by first finding the mean (average), then by summing for all elements (element - mean),
and then dividing this sum to number of elements.
cs104 / ME202 Homework-3
1
You can write another helper function called mean() that takes a list as parameter and returns its
average.
Write Python statements that create a list of one hundred elements with random integer values from
1-50, both inclusive. Display those values on the screen, calculate variance and standard deviation of
your random dataset by calling the above explained functions and print the results.
Do not use numpy module or any other module.
Population Variance Sample Variance
s = I
n-1
N
o = population variamce
x, = value of " clement
H- population mean
N = population size
= sample variance
x, = value of " clement
* = sample mean
n= sample size
Figure 1- You can implement one of the variance type.
Part-2:
List: 49 14 2 18 8 31 48 23 46 5 35 13 29 32 15 21 7 16 1 9 16 35 36 11 11 14 1295 45 6 29 38 14 48 43
16 12 48 40 50 7 50 27 12 4 34 42 32 3 38 39 3 49 40 16 41 41 42 11 25 35 31 40 44 21 21 38 33 46 31
19 20 7 25 12 1 19 13 19 41 32 32 34 31 12 8 47 25 14 37 28 24 39 8 40 44 35 24
The Variance of the list: 208.08999999999992
The Standart deviation of the list: 14.425324953012321](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c38c2ce-800a-41b5-9f71-11239b4e8131%2F7c415b77-a435-4886-995b-e89afe4f7eb0%2F7tztwh_processed.png&w=3840&q=75)
Transcribed Image Text:Two closely related statistical measures will allow us to get an idea of the spread or dispersion of our
data. The first measure is the variance, which measures how far from their mean the individual
observations in our data are. The second is the standard deviation, which is the square root of the
variance and measures the amount of variation or dispersion of a dataset.
Write a function calculate_variance() that takes a list and returns its variance. The variance is
calculated by first finding the mean (average), then by summing for all elements (element - mean),
and then dividing this sum to number of elements.
cs104 / ME202 Homework-3
1
You can write another helper function called mean() that takes a list as parameter and returns its
average.
Write Python statements that create a list of one hundred elements with random integer values from
1-50, both inclusive. Display those values on the screen, calculate variance and standard deviation of
your random dataset by calling the above explained functions and print the results.
Do not use numpy module or any other module.
Population Variance Sample Variance
s = I
n-1
N
o = population variamce
x, = value of " clement
H- population mean
N = population size
= sample variance
x, = value of " clement
* = sample mean
n= sample size
Figure 1- You can implement one of the variance type.
Part-2:
List: 49 14 2 18 8 31 48 23 46 5 35 13 29 32 15 21 7 16 1 9 16 35 36 11 11 14 1295 45 6 29 38 14 48 43
16 12 48 40 50 7 50 27 12 4 34 42 32 3 38 39 3 49 40 16 41 41 42 11 25 35 31 40 44 21 21 38 33 46 31
19 20 7 25 12 1 19 13 19 41 32 32 34 31 12 8 47 25 14 37 28 24 39 8 40 44 35 24
The Variance of the list: 208.08999999999992
The Standart deviation of the list: 14.425324953012321
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