Statistical functions on columns of arrays in BigQuery

If I have data that looks like the follows:

+------+------------+-------+
| a    | val        |  val2 |
+------+------------+-------+
| 3.14 | [1, 2, 3]  | [2, 3]|
| 1.59 | [7, 8, 9]  |  ...  |
| -1   | [4, 5, 6]  |  ...  |
+------+------------+-------+

and I want to get the array averages of the val column, naively I’d want to just try something like

SELECT 
  AVG(val)
FROM 
  <Table>

But that doesn’t work. I get an error like No matching signature for aggregate function AVG for argument types: ARRAY<INT64>. Supported signatures: AVG(INT64); AVG(UINT64); AVG(DOUBLE); AVG(NUMERIC)

I know that if I have just one column val I can do something like

SELECT avg
FROM 
  (
    SELECT AVG(val) as avg
    FROM UNNEST(val) AS val
   )

but what if I have multiple columns (val, val2, etc.) and need multiple statistics? The above method just seems really cumbersome.

To be clear the result I’d want is:

 +------+------------+-------------+--------------+
 | a    | avg_val    | std_dev_val |  avg_val2    |
 +------+------------+-------------+--------------+
 | 3.14 |    2       |      1      |    ...       |
 | 1.59 |    8       |     ....    |    ...       |
 | -1   |    5       |     ....    |    ...       |
 +------+------------+-------------+--------------+

Is there a simple way to do this? Or do I need to create some sort of temporary function to accomplish this? Or am I stuck doing something like what I see in https://stackoverflow.com/a/45560462/1902480

Answer

Consider below example

#standardSQL
create temp function array_avg(arr any type) as ((
  select avg(val) from unnest(arr) val
));
create temp function array_std_dev(arr any type) as ((
  select stddev(val) from unnest(arr) val
));
select a, 
  val, array_avg(val) val_avg, array_std_dev(val) val_stddev,
  val2, array_avg(val2) val2_avg, array_std_dev(val2) val2_stddev
from `project.dataset.table`    

if applied to sample data in your question – output is