COUNT returns the number of rows for a column.

-- return the number of all users
SELECT COUNT(*) FROM users;
-- +-------+
-- | count |
-- |-------|
-- | 502   |
-- +-------+

-- find the number of orders by each user
SELECT
  COUNT(*),
  user_id
FROM orders
GROUP BY user_id
ORDER BY user_id;
-- +-------+---------+
-- | count | user_id |
-- |-------+---------|
-- | 2     | 1       |
-- | 1     | 2       |
-- | 3     | 3       |
-- | 4     | 4       |
-- ...

SUM returns the sum of a numeric column.

-- returns the sum of all of our orders
SELECT SUM(total_price) FROM orders;
-- +---------+
-- | sum     |
-- |---------|
-- | 2095239 |
-- +---------+

-- get the number of orders and average total price of them for user with id of 10
SELECT
  COUNT(id),
  AVG(total_price)
FROM orders
WHERE user_id = 10;
-- +-------+-----------------------+
-- | count | avg                   |
-- |-------+-----------------------|
-- | 4     | 1771.0000000000000000 |
-- +-------+-----------------------+

AVG returns the average of a numeric column.

-- returns the average total_price of all of our orders
SELECT AVG(total_price) FROM orders;
-- +-----------------------+
-- | avg                   |
-- |-----------------------|
-- | 1904.7627272727272727 |
-- +-----------------------+

-- get the number of orders and sum of total price of them for user with id of 10
SELECT
  COUNT(id),
  SUM(total_price)
FROM orders
WHERE user_id = 10;
-- +-------+------+
-- | count | sum  |
-- |-------+------|
-- | 4     | 7084 |
-- +-------+------+

PostgreSQL docs