First, create a Pair class:
//A and B are generics
class Pair<A, B> {
    private A element1;
    private B element2;
    public Pair(A element1, B element2) {
        this.element1 = element1;
        this.element2 = element2;
    }
    //public getters...
}
Second, have a Map<Float, List<Pair<A, B>>> to insert your key/value:
Map<Float, List<Pair<A, B>>> table = new HashMap<Float, List<Pair<A, B>>>();
Third, create a List<Pair<A, B>> backed by LinkedList<Pair<A, B>>:
List<Pair<A, B>> myList = new LinkedList<Pair<A, B>>();
Fourth, add your list into your map.
table.put(1, myList);
You should not use LinkedList nor HashMap classes directly, instead try to code oriented to interfaces. Also, I would recommend you to use another key instead Float or Double since their values may differ due to floating point comparison. I would recommend Integer, Long, String or BigDecimal instead of Float.