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# NumPy | average method

schedule Aug 12, 2023
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Numpy's `average(~)` method computes the weighted average along the specified axis.

# Parameters

1. `a` | `array-like`

The input array.

2. `axis` | `None` or `int` or `tuple` of `int` | `optional`

The axis along which to compute the mean.

Axis

Meaning

0

Row-wise computation of mean

1

Column-wise computation of mean

None

All values used to compute the mean

3. `weights` | `axis` | `optional`

The array containing the weights. The dimension must be 1D with size equal to that of `a`, or the exact same shape as `a`. By default, `weights=None`, that is, a simple mean will be computed.

4. `return` | `boolean` | `optional`

Whether you want the sum of weights returned. By default `return=False`.

# Return value

If axis in unset, then a scalar is returned. Otherwise, a Numpy array of weighted averages is returned.

# Examples

## Basic usage

Consider the following:

``` a = np.array([1,2,3])np.average(a, weights=[0,2,4]) 2.6667 ```

Here, the weighted average is:

``` (1*0 + 2*2 + 3*4) / (0+2+4) = 2.6667 ```

## Getting the sum of the weighted average

To get the sum of the weighted used (i.e. `0+2+4=6`), set `returned=True`:

``` np.average([1,2,3], weights=[0,2,4], returned=True) (2.6666666666666665, 6.0) ```

## Computing the weighted average of a 2D array

Suppose we have the following 2D array:

``` a = np.array([[1,2],[3,4]])a array([[1, 2], [3, 4]]) ```

### Weighted average of all values

Computing the weighted average of all values:

``` np.average(a, weights=[[5,6],[7,8]]) 2.6923076923076925 ```

### Weighted average of each column

Computing the weighted average of each column, set `axis=0`:

``` np.average(a, weights=[[5,6],[7,8]], axis=0) array([2.16666667, 3.14285714]) ```

### Weighted average of each row

Computing the weighted average of each row, set `axis=1`:

``` np.average(a, weights=[[5,6],[7,8]], axis=1) array([1.54545455, 3.53333333]) ```
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