Here is a small script that should help you get started
ice = rand(6,10);
days = datetime(today)+days(1:10);
% Average over all 6 Lakes per day
average1 = mean(ice);
% Average over all 10 days per lake
average2 = mean(ice,2);
if you have multiple datasets of 150 days that you read in a loop, you can get the overall average by taking the average of the averages.
If the datasets have a different number of days, you can just take the sum of each file and divide that by the total number of days in the end.