Hướng dẫn what is standard deviation formula in python? - công thức độ lệch chuẩn trong python là gì?

Mô -đun thống kê trong Python cung cấp một hàm được gọi là stdev (), có thể được sử dụng để tính độ lệch chuẩn. Chức năng stdev () chỉ tính toán độ lệch chuẩn từ một mẫu dữ liệu, thay vì toàn bộ dân số. & NBSP;stdev() , which can be used to calculate the standard deviation. stdev() function only calculates standard deviation from a sample of data, rather than an entire population. 

Để tính độ lệch chuẩn của toàn bộ dân số, một hàm khác được gọi là pstdev () được sử dụng. & Nbsp;pstdev() is used. 

Độ lệch chuẩn là một thước đo của sự lây lan trong thống kê. Nó được sử dụng để định lượng thước đo của sự lan truyền, biến thể của một tập hợp các giá trị dữ liệu. Nó rất giống với phương sai, đưa ra thước đo độ lệch trong khi phương sai cung cấp giá trị bình phương. Bộ được trải ra ngoài giá trị trung bình trung bình của chúng. Một thuộc tính hữu ích của độ lệch chuẩn là, không giống như phương sai, nó được biểu thị bằng cùng một đơn vị với dữ liệu. & NBSP; is a measure of spread in Statistics. It is used to quantify the measure of spread, variation of a set of data values. It is very much similar to variance, gives the measure of deviation whereas variance provides the squared value. 
A low measure of Standard Deviation indicates that the data are less spread out, whereas a high value of Standard Deviation shows that the data in a set are spread apart from their mean average values. A useful property of the standard deviation is that, unlike the variance, it is expressed in the same units as the data. 

Standard Deviation is calculated by :

Hướng dẫn what is standard deviation formula in python? - công thức độ lệch chuẩn trong python là gì?
where x1, x2, x3.....xn are observed values in sample data,
Hướng dẫn what is standard deviation formula in python? - công thức độ lệch chuẩn trong python là gì?
is the mean value of observations and N is the number of sample observations.

Cú pháp: Stdev ([Data-Set], Xbar) tham số: & nbsp; [Data]: Một số có thể có số có giá trị thực. Độ lệch của các giá trị được truyền dưới dạng tham số. Exexceptions: & nbsp; StatisticerError được nâng lên cho dữ liệu-set nhỏ hơn 2 giá trị được truyền dưới dạng tham số. -Set. & nbsp; & nbsp; stdev( [data-set], xbar )
Parameters : 
[data] : An iterable with real valued numbers. 
xbar (Optional): Takes actual mean of data-set as value.
Returnype : Returns the actual standard deviation of the values passed as parameter.
Exceptions : 
StatisticsError is raised for data-set less than 2 values passed as parameter. 
Impossible/precision-less values when the value provided as xbar doesn’t match actual mean of the data-set. 
 

Mã số 1: & nbsp; & nbsp;  

Python3

import statistics

sample =

Standard Deviation of the sample is 1.5811388300841898 
0
Standard Deviation of the sample is 1.5811388300841898 
1
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
3
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
5__12

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
1
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
2
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
3

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
4
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
6

Đầu ra: & nbsp; 

Standard Deviation of the sample is 1.5811388300841898 

Mã số 2: Trình diễn stdev () trên một tập hợp các loại dữ liệu khác nhau & nbsp; & nbsp; Demonstrate stdev() on a varying set of data types  

Python3

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
7
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
8import
Standard Deviation of the sample is 1.5811388300841898 
Variance of the sample is 2.5
0

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
7
Standard Deviation of the sample is 1.5811388300841898 
Variance of the sample is 2.5
2import
Standard Deviation of the sample is 1.5811388300841898 
Variance of the sample is 2.5
4

Standard Deviation of the sample is 1.5811388300841898 
Variance of the sample is 2.5
5=
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
22____11
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
3
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
9
Standard Deviation of the sample is 1.5811388300841898 
2

Các

Các

=5=

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
2=8
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
00
Standard Deviation of the sample is 1.5811388300841898 
2

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
1
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
2
Standard Deviation of the sample is 1.5811388300841898 
10

Standard Deviation of the sample is 1.5811388300841898 
11
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
Standard Deviation of the sample is 1.5811388300841898 
13

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
1
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
2
Standard Deviation of the sample is 1.5811388300841898 
16

Standard Deviation of the sample is 1.5811388300841898 
11
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
Standard Deviation of the sample is 1.5811388300841898 
19

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
1
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
2
Standard Deviation of the sample is 1.5811388300841898 
22

Standard Deviation of the sample is 1.5811388300841898 
11
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
Standard Deviation of the sample is 1.5811388300841898 
25

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
1
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
2
Standard Deviation of the sample is 1.5811388300841898 
28

Standard Deviation of the sample is 1.5811388300841898 
11
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
Standard Deviation of the sample is 1.5811388300841898 
31

Đầu ra: & nbsp; 

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525

Mã số 2: Trình diễn stdev () trên một tập hợp các loại dữ liệu khác nhau & nbsp; & nbsp;Demonstrate the difference between results of variance() and stdev()  

Python3

import statistics

sample =

Standard Deviation of the sample is 1.5811388300841898 
0
Standard Deviation of the sample is 1.5811388300841898 
1
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
3
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
5__12

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
4
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
6

Standard Deviation of the sample is 1.5811388300841898 
50
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
6

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
1
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
2
Standard Deviation of the sample is 1.5811388300841898 
55

Standard Deviation of the sample is 1.5811388300841898 
56
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
Standard Deviation of the sample is 1.5811388300841898 
58

Đầu ra: & nbsp; 

Standard Deviation of the sample is 1.5811388300841898 
Variance of the sample is 2.5

Mã số 2: Trình diễn stdev () trên một tập hợp các loại dữ liệu khác nhau & nbsp; & nbsp; Demonstrate the use of xbar parameter  

Python3

import statistics

sample =

Standard Deviation of the sample is 1.5811388300841898 
0
Standard Deviation of the sample is 1.5811388300841898 
1
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
3
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
5__12

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
4
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
5
The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
6

Đầu ra: & nbsp;

Mã số 2: Trình diễn stdev () trên một tập hợp các loại dữ liệu khác nhau & nbsp; & nbsp;

Đầu ra: & nbsp; 

Standard Deviation of Sample set is 0.6047037842337906

Mã số 2: Trình diễn stdev () trên một tập hợp các loại dữ liệu khác nhau & nbsp; & nbsp; Demonstrates StatisticsError  

Python3

import statistics

sample =

Standard Deviation of the sample is 1.5811388300841898 
0
Standard Deviation of the sample is 1.5811388300841898 
1
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
3
Standard Deviation of the sample is 1.5811388300841898 
2
Standard Deviation of the sample is 1.5811388300841898 
5__12

The Standard Deviation of Sample1 is 3.9761191895520196
The Standard Deviation of Sample2 is 1.8708286933869707
The Standard Deviation of Sample3 is 7.8182478855559445
The Standard Deviation of Sample4 is 0.41967844833872525
1
Standard Deviation of the sample is 1.5811388300841898 
95

Đầu ra: & nbsp; 

Traceback (most recent call last):
  File "/home/f921f9269b061f1cc4e5fc74abf6ce10.py", line 12, in 
    print(statistics.stdev(sample))
  File "/usr/lib/python3.5/statistics.py", line 617, in stdev
    var = variance(data, xbar)
  File "/usr/lib/python3.5/statistics.py", line 555, in variance
    raise StatisticsError('variance requires at least two data points')
statistics.StatisticsError: variance requires at least two data points

Mã số 2: Trình diễn stdev () trên một tập hợp các loại dữ liệu khác nhau & nbsp; & nbsp;  

  • The Standard Deviation of Sample1 is 3.9761191895520196
    The Standard Deviation of Sample2 is 1.8708286933869707
    The Standard Deviation of Sample3 is 7.8182478855559445
    The Standard Deviation of Sample4 is 0.41967844833872525
    7
    The Standard Deviation of Sample1 is 3.9761191895520196
    The Standard Deviation of Sample2 is 1.8708286933869707
    The Standard Deviation of Sample3 is 7.8182478855559445
    The Standard Deviation of Sample4 is 0.41967844833872525
    8import
    Standard Deviation of the sample is 1.5811388300841898 
    Variance of the sample is 2.5
    0
  • The Standard Deviation of Sample1 is 3.9761191895520196
    The Standard Deviation of Sample2 is 1.8708286933869707
    The Standard Deviation of Sample3 is 7.8182478855559445
    The Standard Deviation of Sample4 is 0.41967844833872525
    7
    Standard Deviation of the sample is 1.5811388300841898 
    Variance of the sample is 2.5
    2import
    Standard Deviation of the sample is 1.5811388300841898 
    Variance of the sample is 2.5
    4

Làm thế nào để bạn tìm thấy độ lệch chuẩn trong Python?

Phương thức thống kê.stdev () tính toán độ lệch chuẩn từ một mẫu dữ liệu. Độ lệch chuẩn là một thước đo cách trải rộng các con số. Một độ lệch chuẩn lớn chỉ ra rằng dữ liệu được trải ra, - một độ lệch chuẩn nhỏ cho thấy rằng dữ liệu được phân cụm chặt chẽ xung quanh giá trị trung bình. stdev() method calculates the standard deviation from a sample of data. Standard deviation is a measure of how spread out the numbers are. A large standard deviation indicates that the data is spread out, - a small standard deviation indicates that the data is clustered closely around the mean.

Có một hàm độ lệch chuẩn trong Python?

Mô -đun thống kê trong Python cung cấp một hàm được gọi là stdev (), có thể được sử dụng để tính độ lệch chuẩn.Chức năng stdev () chỉ tính toán độ lệch chuẩn từ một mẫu dữ liệu, thay vì toàn bộ dân số. , which can be used to calculate the standard deviation. stdev() function only calculates standard deviation from a sample of data, rather than an entire population.

Công thức độ lệch chuẩn là gì?

Nó giúp chúng tôi so sánh các bộ dữ liệu có cùng giá trị trung bình nhưng một phạm vi khác.Công thức độ lệch chuẩn mẫu là: s = 1n 1∑ni = 1 (xi - x) 2 s = 1 n - 1 ∑ i = 1 n (x i - x ¯) 2, trong đó ¯ x x ¯ là mẫuTrung bình và XI X I đưa ra các quan sát dữ liệu và N biểu thị kích thước mẫu.s=√1n−1∑ni=1(xi−¯x)2 s = 1 n − 1 ∑ i = 1 n ( x i − x ¯ ) 2 , where ¯x x ¯ is the sample mean and xi x i gives the data observations and n denotes the sample size.

Std có nghĩa là gì trong Python?

Mô -đun Numpy của Python cung cấp một hàm gọi là Numpy.std (), được sử dụng để tính độ lệch chuẩn dọc theo trục được chỉ định.Hàm này trả về độ lệch chuẩn của các phần tử mảng.Căn bậc hai của độ lệch vuông trung bình (được tính từ giá trị trung bình), được gọi là độ lệch chuẩn.standard deviation along the specified axis. This function returns the standard deviation of the array elements. The square root of the average square deviation (computed from the mean), is known as the standard deviation.