# LeetCode 1619. Mean of Array After Removing Some Elements

## Description

https://leetcode.com/problems/mean-of-array-after-removing-some-elements/

Given an integer array `arr`, return the mean of the remaining integers after removing the smallest `5%` and the largest `5%` of the elements.

Answers within `10-5` of the actual answer will be considered accepted.

Example 1:

```Input: arr = [1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3]
Output: 2.00000
Explanation: After erasing the minimum and the maximum values of this array, all elements are equal to 2, so the mean is 2.
```

Example 2:

```Input: arr = [6,2,7,5,1,2,0,3,10,2,5,0,5,5,0,8,7,6,8,0]
Output: 4.00000
```

Example 3:

```Input: arr = [6,0,7,0,7,5,7,8,3,4,0,7,8,1,6,8,1,1,2,4,8,1,9,5,4,3,8,5,10,8,6,6,1,0,6,10,8,2,3,4]
Output: 4.77778
```

Example 4:

```Input: arr = [9,7,8,7,7,8,4,4,6,8,8,7,6,8,8,9,2,6,0,0,1,10,8,6,3,3,5,1,10,9,0,7,10,0,10,4,1,10,6,9,3,6,0,0,2,7,0,6,7,2,9,7,7,3,0,1,6,1,10,3]
Output: 5.27778
```

Example 5:

```Input: arr = [4,8,4,10,0,7,1,3,7,8,8,3,4,1,6,2,1,1,8,0,9,8,0,3,9,10,3,10,1,10,7,3,2,1,4,9,10,7,6,4,0,8,5,1,2,1,6,2,5,0,7,10,9,10,3,7,10,5,8,5,7,6,7,6,10,9,5,10,5,5,7,2,10,7,7,8,2,0,1,1]
Output: 5.29167
```

Constraints:

• `20 <= arr.length <= 1000`
• `arr.length`is a multiple of `20`.
• `0 <= arr[i] <= 105`

## Python Solution

``````class Solution:
def trimMean(self, arr: List[int]) -> float:
arr = sorted(arr)
n = len(arr)

five_percent = int(n * 0.05)

arr = arr[five_percent: n - five_percent]

return sum(arr) / len(arr)``````
• Time Complexity: ~N
• Space Complexity: ~N