Maximum repeated element

The problem is as follows:
Given an array of n numbers. Give an algorithm for finding the element which
appears maximum number of times in the array.

Sample Input: [3,2,1,2,2,2,3]
Sample Output: 2

'''Using hashing
Complexity Space: O(n), Time: O(n)'''

arr = [3,2,1,2,2,2,3]

def maximumRepetition(arr):
    numDict = {}
    for entry in arr:
        if entry in numDict:
            numDict[entry] += 1
        else:
            numDict[entry] = 1
            
    maxElement = 0
    maxCount = 0
    for entries in numDict:
        if numDict[entries] > maxCount:
            maxCount = numDict[entries]
            maxElement = entries
    
    return maxElement

print maximumRepetition(arr)


'''Improved method
Complexity Time O(n) Space: O(1)'''

n = len(arr) #This is supposed to be given

def maximumRepitionImproved(arr):
    for i in range(len(arr)):
        arr[arr[i]] += n
        
    maxi = -1
    maxValue = 0
    for i in range(len(arr)):
        if arr[i]/n > maxValue:
            maxValue = arr[i]/n
            maxi = i
    return arr[maxi]

print maximumRepetition(arr)
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