I can't provide an answer with such limited information. Can you please elaborate on your question? What are you measuring, how are you measuring it? And what exactly are you expecting to do with the results? When you say random distribution, do you want to randomly draw from your data?

i have min load and amx load for each month and these values not average values but it is measured when the temperature is low and high , i mean it is exact values.

i want to genrate 8760 values of load , how can i generate these data using random distribution  or any other functions . these data is power consumption in MW and the data extracted from national electric grid

I am still not sure what you want to do here. Can you provide a small sample of your data so that I can see what the data look like. I believe that you are asking to randomly draw samples for the data, but I am not sure if I understand you correctly. I will probably have a better idea of what you're asking once I see a small amount of your data.

I think I may understand what you want. You'll have to correct me if I didn't understand correctly. You would like 8760 randomly generated values for each of the 30 days, where the min value equals what you have in your chart as the min, and the max equals what you have in your chart, for each day?

If that is the case, and assuming a normal distribution, here is an example of what the first day would look like (I generated this in Stata):

set obs 8760

gen load = 3200+int((5560-3200+1)*runiform())

sum load

Obs: 8760

min: 3200

max: 5560

mean: 4382.352

sd: 679.7494

thanks dear Linden i did the same but using Matlab

and the result is acceptable

many thanks again if you did could you send the data to me just to compare between your and my result 

see the attached spreadsheet.

I hope this helps

Ariel