pick only the first element of elements within range

I would really appreciate some help on this. I have data like these (in the form of column vectors):

 152.500000000000
 166.500000000000
 169
 172.500000000000
 174
 179
 184.500000000000
 188
 189.500000000000
 191.500000000000
 193
 199.500000000000
 203

and I want to start from the first one, find if there are following values that are within a range of 10, if there are keep the value of the checked element and delete the rest (within the range) and continue working downwards like that; if there are not following values within the range of 10 keep the value of the checked element. For instance in this dataset as an output I want to have 152.5 (no other values within range 10), 166.5 (delete 169, 172.5, 174), 179 (delete 184.5, 188), 189.5 (delete 191.5, 193, 199.5), 203. Thank you in advance

Answer 1

[Rik]

list=[152.500000000000;166.500000000000;169;172.500000000000;174;179;184.500000000000;...
    188;189.500000000000;191.500000000000;193;199.500000000000;203];
counter=1;
while counter<length(list)
    indices_to_be_removed=list>=(list(counter)-10) & list<=(list(counter)+10);
    indices_to_be_removed(counter)=false;%keep current value
    list(indices_to_be_removed)=[];
    counter=counter+1;
end

[MARIANNA.KI]

thank you so much!

Answer 2

[the cyclist]

Here is one way:

in = [152.5;
      166.5;
      169;
      172.5;
      174;
      179;
      184.5;
      188;
      189.5;
      191.5;
      193;
      199.5;
      203];

    n = 1;

    out = in;

    while n < numel(out)
        if out(n+1) <= out(n) + 10
            out(n+1) = [];
        else
            n = n+1;
        end
    end

[MARIANNA.KI]

thank you so much - it works great!