Activity Participants Problem

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+---------------+---------+
| Column Name   | Type    |
+---------------+---------+
| id            | int     |
| name          | varchar |
| activity      | varchar |
+---------------+---------+
id is the id of the friend and primary key for this table.
name is the name of the friend.
activity is the name of the activity which the friend takes part in.

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+---------------+---------+
| Column Name   | Type    |
+---------------+---------+
| id            | int     |
| name          | varchar |
+---------------+---------+
id is the primary key for this table.
name is the name of the activity.

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Friends table:
+------+--------------+---------------+
| id   | name         | activity      |
+------+--------------+---------------+
| 1    | Jonathan D.  | Eating        |
| 2    | Jade W.      | Singing       |
| 3    | Victor J.    | Singing       |
| 4    | Elvis Q.     | Eating        |
| 5    | Daniel A.    | Eating        |
| 6    | Bob B.       | Horse Riding  |
+------+--------------+---------------+

Activities table:
+------+--------------+
| id   | name         |
+------+--------------+
| 1    | Eating       |
| 2    | Singing      |
| 3    | Horse Riding |
+------+--------------+

Result table:
+--------------+
| activity     |
+--------------+
| Singing      |
+--------------+

Eating activity is performed by 3 friends, maximum number of participants, (Jonathan D. , Elvis Q. and Daniel A.)
Horse Riding activity is performed by 1 friend, minimum number of participants, (Bob B.)
Singing is performed by 2 friends (Victor J. and Jade W.)

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select activity
from friends
group by activity
having count(name) != (
    select max(ma)
    from(
         select activity, count(name) as ma
         from friends
         group by activity
    ) maxAct)
and count(name) != (
    select min(mi)
    from(
         select activity, count(name) as mi
         from friends
         group by activity
    ) minAct)