[jack3dm]

Да, уже понял.
Решение:

var group, part1, part2, part3;

group = 'Group Status';
part1 = 'online';
part2 = 'away';
part3 = 'away';


if( part1 === 'offline' || part2 === 'offline' || part3 === 'offline' ){
	group = 'Offline';
	console.log('One of the users is offline. Group status: ' + group);
}else if( part1 === 'away' || part2 === 'away' || part3 === 'away' ){
	group = 'Away';
	console.log('One of the users is away. Group status: ' + group);
}else if( part1 === 'online' || part2 === 'online' || part3 === 'online' ){
	group = 'Online';
	console.log('All users are online. Group status: ' + group);
}else{
	group = 'Not found';
	console.log('Status not found. Group status: ' + group);
}