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Functions- mean, median, mode, standard Deviation, Z-Score
Sourav
6
Population Sampling
Simple random sampling, Confidence Interval For a Sample, Margin of Error, Cochran’s Sample Size Formula, How to Find a Sample Size Given a Confidence Interval and Width (unknown population standard deviation)
Nayana
7
Random Generator
Generate a random number without a seed between a range of two numbers, Generate a random number with a seed between a range of two numbers, Generate a list of N random numbers with a seed and between a range of numbers, Select a random item from a list, Set a seed and randomly. select the same value from a list, Select N number of items from a list without a seed, Select N number of items from a list with a seed
Nayana
8
Readme
Task breakdown, description, formulas and result
Nayana, Sourav
Function list
No.
Function
Short Description Formula
Example
Result
1
Addition
a + b
12+3
15
2
Subtraction
b-a
13-2
11
3
Multiplication
a * b
5 * 2
10
4
Division
b/a
12/4
3
5
Square
a * a
5 * 5
25
6
Sqaure Root
math.sqrt(a)
math.sqrt(635)
25.19920633
7
Mean
sum(data)/len(data)
15/3
data=[1,2,3,4,5] Result = 3
8
Median
((n + 1)/2)th (even number of elements) (((n+1)/2) -1)(odd number of elements), n is len(data)
(5+1)/2
odd:data=[1,2,3,4,5] Result = 3,even:[1,2,3,4,5,6] Result = 3.5
9
Mode
max(frequency) Mode is calculated by counting the frequencies of an element in a list and calculating the max of all frequencies.
max(2,3,1,1,1,1,1)
data=[1,2,5,1,2,3,6,2,9,10,2] Result = 2(count 3)
10
Variance
s=((sum(x-x")* * 2/len(data-1))
((sum(data[i]-mean(data))* * 2/len(data)-1)
data=[1,2,3,4,5] Result = 2
11
Standard deviation
sqrt(variance)
sqrt(2)
data=[1,2,3,4,5] Result = 1.414
12
z_score
z=(data[i]-mean(data))/standard deviation
z=(1-3)/1.414
data=[1,2,3,4,5] -1.414
Class Diagram of Statistics, Calculator and related classes
Click here to veiw/download the class diagram in PDF format: Class Diagram.
About
"Statistics Calculator" allows calculating variance, mean and standard deviation from a data set. This Project also consists of other functions for Random generator and Population sampling to test the data.