Лимит времени 2000/4000/4000/4000 мс. Лимит памяти 65000/65000/65000/65000 Кб. Prepared by Ibrahim Mesecan.
Variance of a series
In Statistics, Variance is a measure of how values vary from the mean. The Variance of a series of numbers can
be calculated with the following formula
where
σ2 is the variance of a series
n is the number of elements in the series
xi represents each number in the series
µ is the mean of series
The variance of the series {1, 2, 3, 4, 5, 6} then can be calculated, like this:
µ = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5
S = (1 - 3.5)2 + (2 - 3.5)2 + (3 - 3.5)2 +
(4 - 3.5)2 + (5 - 3.5)2 + (6 - 3.5)2
= (-2.5)2 + (-1.5)2 + (-0.5)2 +
(0.5)2 + (1.5)2 + (2.5)2
= 17.5
σ2 = (1 / n) * S = (1 / 6) * 17.5
σ2 = 2.9167
Input specification
You will first be given a number (n) which shows the number of numbers in the following line. The following line contains
n integer numbers (xi ) where each of the numbers is 1 ≤ xi ≤ 3000 and
1 ≤ n ≤ 5000.
Output specification
Show one float number that represent the variance of the given series.
Sample Input I |
Sample Input II |
6
1 2 3 4 5 6
td>
|
10
4 4 7 2 1 2 5 5 1 1
td>
|
Sample Output 1 |
Sample Output 2 |
2.916
td>
|
3.96
td> |
Для отправки решений необходимо выполнить вход.
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