Important and basic Functions of statistics used in data analysis:-

1. Mean
2. Median
3. Mode
4. Variance
5. Standard deviation

1. Mean

Fucntion for mean

def mean1(list):
    mean1=sum(list)/len(list)
    return mean1

Example

list=[1,2,3,4]
Mean=mean1(list)
Mean

Output

2.5

2. Median

Function for median

def median1(list):
    l=len(list)
    s=sorted(list)
    if l % 2 == 0:
       median1=(s[l//2]+s[l//2 - 1])/2
    else:
       median1=s[l//2]
return median1

Example

list1=[6,8,3,4,5,1]
m=median1(list1)
m

output

4.5

3. Mode

Function for mode

def mode1(list):
    s=sorted(list)
    l1=[]
    i = 0
    while i < len(list) : 
        l1.append(s.count(s[i])) 
        i += 1
        d1 = dict(zip(s, l1)) 
        d2={k for (k,v) in d1.items() if v == max(l1) } 
    print("Mode(s) is/are :" + str(d2))

Example

l=[11,11,11,2,3,2,2,2,4,5,11,6,8,8,8,8]
m=mode1(l)
m

Output

Mode(s) is/are :{8, 2, 11}

4. Variance

Function for variance

def variance1(list):
    m=sum(list)/len(list)
    var= sum((i - m) ** 2 for i in list) / len(list) 
    print("The variance of list is : " + str(var))

Example

l=[1,2,3]
v=variance1(l)

Output

The variance of list is : 0.6666666666666666

5. Standard Deviation

Function for Standard Deviation

def stdev1(list):
    m=sum(list)/len(list)
    var= sum((i - m) ** 2 for i in list) / len(list) 
    stdev=var**0.5
    print("The standar deviation  of list is : " + str(stdev))

Example

l=[1,2,3]
st=stdev1(l)

Output

The standar deviation  of list is : 0.816496580927726